Publications du Laboratoire SAF

Publications antérieures ou hors HAL :

2017

Boulier J.F., Brexit, an un, paru dans Option Finance, Mai 2017


Boulier J.F., Quelle nouvelle crise nous menace, et comment s'en prémunir ?, paru dans Gestion de Fortune, Juin 2017

Boulier J.F., M&M, paru dans Option Finance le 19 juin 2017

Boulier J.F., Chronique d'une très grande crise (couverture), aux éditions MA éditions - ESKA, Avril 2017

Boulier J.F., Long Term Savings Performances: The 40 year track record of Afer funds, paru dans Bankers, Markets & Investors n°146 (janvier-février 2017)

Viot C, Benraïss-Noailles L (2017), Qu’en est-il de l’attractivité des entreprises low-cost ? Le rôle du Capital-Marque Employeur, Revue Française de Gestion, Numéro spécial Low cost, (accepté le 29 mai 2017), à paraître

2016

Boulier J.F., Les frontières seront-elles efficientes ? , paru dans Risques n°108 (décembre 2016)


Boulier J.F., Brexit et conséquences, paru dans Option Finance (Octobre 2016)

Boulier J.F., Fierté française, paru dans Le Revenu (Septembre 2016)

2015

Decision thresholds and changes in risk for preventive treatment
Health Economics, DOI: 10.1002/hec.3127.
C. COURBAGE, B. REY

Phase-type aging modeling for health dependent costs
Insurance : Mathematics and Economics
M. GOVORUN, G. LATOUCHE, S. LOISEL

Un modèle de projection pour des contrats de retraite dans le cadre de l’ORSA
Bulletin Français d’Actuariat, vol. 14, n°28.
F. BONNIN, F. COMBES, F. PLACNHET, M. TAMMAR

M. Kacem, C. Lefèvre, S. Loisel. (2015). Convex extrema for nonincreasing discrete distributions: Effects of convexity constraints, Journal of Mathematical Analysis and Applications 423, 1774-1791.

J.Tomas and F.Planchet. (2015), Prospective mortality tables: taking heterogeneity into account, Insurance : Mathematics & Economics. 

On tail dependence coefficients of transformed multivariate Archimedean copulas, Fuzzy Sets and Systems, Available online 5 September 2015, ISSN 0165-0114,http://dx.doi.org/10.1016/j.fss.2015.08.030.
E. DI BERNARDINO, D. RULLIERE

On the estimation of Pareto fronts from the point of view of copula theory
Information Sciences, Volume 324, 10 December 2015, Pages 270-285, ISSN 0020-0255, http://dx.doi.org/10.1016/j.ins.2015.06.037.
M. BINOIS, D. RULLIERE, O. ROUSTANT
 
Estimation of multivariate critical layers: Applications to rainfall data (2015)
Journal SFDS, vol. 156, no.1, pp 11–50, ISSN 2102-6238.
E. DI BERNARDINO, D; RULLIERE

A paraitre

Index for predicting insurance claims from wind storms with an application in France, Risk Analysis
A.MORNET, T.OPITZ, M.LUZI, S.LOISEL (2015)

A. Boumezoued, N. El Karoui, S. Loisel, (2015). Measuring mortality heterogeneity with multi-state models and interval-censored data, Working paper Preprint sur Hal. 

E. Debonneuil, S. Loisel, F. Planchet, (2015). Do actuaries believe in longevity deceleration?, Working paper Preprint sur Hal.

P.O. Goffard, S. Loisel, D. Pommeret. Polynomial approximations for bivariate aggregate claims amount probability distributions, soumis.

P.O. Goffard, S. Loisel, D. Pommeret. A polynomial expansion to approximate the ultimate ruin probability in the compound Poisson ruin model, en révision dans Journal of Computational and Applied Mathematics.

V. Maume-Deschamps, D. Rullière, K. Saïd. On capital allocation by minimizing multivariate risk indicators. Soumis.

N.El Karoui, Y. Salhi, S. Loisel, Robust Detection of Unobservable Disorder Time in Poisson Rate, preprint 2015, soumis.

O. Lopez, X. Milhaud, P. Thérond. (2015), Consistency of tree-based estimators in censored regression with applications in insurance. Preprint

O. Lopez, X. Milhaud, P. Therond. Consistency of tree-based estimators in censored regression with applications in insurance

Discrete Schur-constant models
Journal of Multivariate Analysis
A. CASTANER, M.M, CLARAMUNT, C. LEFEVRE, S. LOISEL

Viot C. (2015), Le dialogue marque-client : une réalité ? La revue des marques, n° 82, Octobre, 58-62.

Viot C., Le Roux A., Kremer F. (2014), Attitude envers l’achat de contrefaçons : déterminants et effet sur l’intention d’achat, Recherches et Applications en Marketing, 29, 2, 3-33.

Viot C., Benraïss-Noailles L (2014), Employeurs, Démarquez-vous. La marque employeur, un gisement de valeur inexploité ?, Management International, 18, 3, 1-22.
t, J. Tomas. [2014c] Construire une table de mortalité prospective : le package ELT, Bulletin Français d’Actuariat, vol. 14, n°27.

Q. Guibert, F. Planchet. (2014) Construction de lois d'expérience en présence d'évènements concurrents : Application à l'estimation des lois d'incidence d'un contrat dépendance, Bulletin 

Q. Guibert, F. Planchet. (2014) Construction de lois d'expérience en présence d'évènements concurrents - Application à l'estimation des lois d'incidence d'un contrat dépendance. Bulletin Français d'Actuariat, 13(27), 5-28.Q. Guibert, M. Juillard, T-O. Nteukam, F. Planchet. (2014) Solvabilité Prospective en Assurance -Méthodes quantitatives pour l'ORSA, Paris : Economica.

F. Planchet, J. Tomas. (2014b) Constructing Entity Specific Mortality Table: Adjustment to a Reference, European Actuarial Journal, Volume 4, Issue 2, pp 247-279, doi: 10.1007/s13385-014-0095-y.

F. Planchet, J. Tomas. (2014a) Uncertainty on Survival Probabilities and Solvency Capital Requirement: Application to LTC Insurance, Scandinavian Actuarial Journal, doi: 10.1080/03461238.2014.925496.

F. Bonnin, M. Juillard, F. Planchet. (2014) Best Estimate Calculations of Savings Contracts by Closed Formulas -Application to the ORSA, European Actuarial Journal, Vol. 4, Issue 1, Page 181-196. http://dx.doi.org/10.1007/s13385-014-0086-z

Properties of a risk measure derived from the expected area in red
Insurance : Mathematics and Economics, Vol.55, 191-199
S. LOISEL, J. TRUFIN

Benchmark values for higher order coefficients of relative risk aversion,
Theory and Decision, Vol.76, 81-94.
M. DENUIT, B. REY

Some characteristics of an equity security next-year impairment,
Review of Quantitative Finance and Accounting, february, 1-25.
J.AZZAZ, S.LOISEL, P.THEROND

A survey of some recent results on Risk Theory,
ESAIM Proceedings, 44, 322-337.
F.AVRAM, R. BIARD, Ch. DUTANG, S. LOISEL, L. RABEHASAINA

A paraitre
Convex extrema for nonincreasing discrete distributions : effects of convexity constaints, JMAA.
M.KACEM, C.LEFEVRE, S.LOISEL (2014)

Risk indicators with several lines of business : comparison, asymptotic behavior and applications to optimal reserve allocation, annales de l’ISUP
P.CENAC, S.LOISEL, V.MAUME-DESCHAMPS, C.PRIEUR (2014)

Ruin problems with worsening risks or with infinite mean claims, Stochastic models.
D.KORTSCHAK, S.LOISEL, P.RIBEREAU (2014)

F. Bonnin, A. De Clermont-Tonnerre, F. Planchet, D. Sapone, M. Tammar. (2014) Valeur économique de dettes subordonnées pour des sociétés non-vie, Les cahiers de recherche de l’ISFA, n° 2014.15.

Q. Guibert, F. Planchet. (2014) Non-Parametric Inference of Transition Probabilities Based on Aalen Johansen Integral Estimators for Semi-Competing Risks Data: Application to LTC Insurance, Les cahiers de recherche de l’ISFA, n°2014.14.

Y. Laïdy, F. Planchet. (2014) Calibrating LMN Model to Compute Best Estimates in Life Insurance, Les cahiers de recherche de l’ISFA, n°2014.13.

T. O. Nteukam, F. Planchet, J. Ren. (2014) Internal Model in Life insurance: Application of Least Square Monte-Carlo in Risk Assessment, Les cahiers de recherche de l’ISFA, n°2014.12.

H. Bensusan, N. El Karoui, S. Loisel, Y. Salhi, Partial Splitting of Longevity and Financial Risks : The Longevity Nominal Choosing Swaptions, en révision à IME.

Q. Guibert, F. Planchet. (2014) Non-Parametric Inference of Transition Probabilities Based on AalenJohansen Integral Estimators for Semi-Competing Risks Data: Application to LTC Insurance. Soumis Life Time Data Analysis. 

Viot C., Le Roux A., Kremer F. (2014), Attitude envers l’achat de contrefaçons : déterminants et effet sur l’intention d’achat, Recherches et Applications en Marketing, 29, 2, 3-33.

Viot C., Benraïss-Noailles L (2014), Employeurs, Démarquez-vous. La marque employeur, un gisement de valeur inexploité ?, Management International, 18, 3, 1-22.


2013 

The « A+B/u » rule for discrete and continuous time risk models with dependence,
Insurance : Mathematics and Economics, 53, issue 3, 774-785.
Ch. DUTANG, C. LEFEVRE, S. LOISEL

On multiply monotone distributions, continuous or discrete, with applications,
Journal of Applied Probability, 50(3), 603-907.
C. LEFEVRE, S. LOISEL

Impact of climate change on heat wave risks,
Risks, 1(3), 176-191
R.BIARD, C. BLANCHET-SCALLIET, A. EYRAUD-LOISEL, S.LOISEL

On certain transformations of Archimedean copulas : Application to the non-parametric estimation of their generators,
Dependence Modeling, Vol.1, 1-36
E. DI BERNARDINO, D.RULLIERE

Another look at risk apportionment,
Journal of Mathematical Economics, 49, 335-343.
M. DENUIT, B. REY

On multivariate extensions of value-at-risk,
Journal of multivariate analysis, 119, 32-46.
A. COUSIN, E. DI BERNARDINO

On finite-time ruin probabilities with dependence between reinsurance cycles and the claim arrival process,
Scandinavian Actuarial Journal, Vol. 2013, Issue 3, 163-185.
M. BARGES, S. LOISEL & X. VENEL

The density of the ruin time for a renewal-reward process perturbed by a diffusion,
Applied Mathematics Letters, 26, 108-112, (DOI) 10.1016/j.aml.2012.04.003.
C. BLANCHET-SCAILLET, D. DOROBANTU, D. RULLIERE

Solvency assessment within the ORSA framework : issues and quantitative methodologies,
Bulletin Français d’Actuariat, Vol.13, n°25, janvier-juin, 35-71.
L. DEVINEAU, J. VEDANI

An extension of Davis and Lo’s contagion model,
Quantitative Finance, vol.13, 3, 407-420, (DOI) 10.1080/14697688.2012.727015.
A. COUSIN, D. DOROBANTU, D. RULLIÈRE

The density of the ruin time for a renewal-reward process perturbed by a diffusion,
Applied Mathematics Letters, 26, 108-112, (DOI) 10.1016/j.aml.2012.04.003.
C. BLANCHET-SCALLIET, D. DOROBANTU, D. RULLIÈRE

Exploring or reducing noise? A global optimization algorithm in the presence of noise,
Structural and Multidisciplinary Optimization, vol.47, 6, 921-936, (DOI) 10.1007/s00158-012-0874-5.
D. RULLIERE, A. FALEH, F. PLANCHET, W. YOUSSEF

Distortions of multivariate distribution functions and associated level curves: applications in multivariate risk theory,
Insurance: Mathematics and Economics, Vol.53(1), 190-205.
E. DI BERNARDINO, D. RULLIERE

L’évaluation du travail dans les établissements de santé publics : déstabilisation des acteurs et remise en question des valeurs,
Entreprises et Humanisme, n°309, 16p.
S.BERTEZENE, B. DUBRION

Moderniser les pratiques d’évaluation du travail dans la fonction publique : analyse exploratoire du cas d’un hôpital public,
Formation Emploi, Vol.1, n°121, 83-105.
S.BERTEZENE, B. DUBRION

Le contrôle et le pilotage de la performance éthique : résultats de recherches-interventions dans le secteur médico-social,
Management et Avenir, n°65, novembre, 17p.
S.BERTEZENE

Cost effectiveness of pegfilgrastrim versus filgrastim after high-dose chemotherapy and autologous stem cell transplantation in patients with lymphoma and myeloma (an economic evaluation of the PALM Trial),
Applied Health Economics and Health Policy, (DOI) 10.1007/s40258-013-0011-7.
L. PERRIER, A. LEFRANC, D. PROL, P. QUITTET, A. SCHMIDT-TANGUY, C. SIANI, C. DE PERETTI

Quadratic hedging : an actuarial view extended to solvency control,
European Actuarial Journal, (DOI) 10.1007/s13385-013-0066-8.
R. NORBERG

Optimal hedging of demographic risk in life insurance,
Finance and Stochastics, Vol.17, 197-222, (DOI) 10.1008/s00780-012-0182-3.
R. NORBERG

Some new classes of stationary max-stable random fields,
Statistics and Probability Letters, 83, 1496-1503.
C. ROBERT

Ultimate ruin probability in discrete time with Bühlmann credibility premium adjustements,
Bulletin Français d’Actuariat, Vol.13, n°25, 73-102.
J. TRUFIN, S. LOISEL

Competition among non-life insurers under solvency constraints : a game-theoretic approach,
European Journal of Operational Research, 31(3), 702-711.
C. DUTANG, H. ALBRECHER, S. LOISEL

A paraitre

The bottom-up top-down puzzle solved, CreditFlux.
A. COUSIN, T. BIELECKI, S. CREPEY, A. HERBERTSSON (2013)

Dynamic hedging of portfolio credit risk in a Markov copula model, forthcoming in Journal of Optimization Theory and Applications.
A. COUSIN, T. BIELECKI, S. CREPEY, A. HERBERTSSON (2013)

A bottom-up dynamic model of portfolio credit risk with stochastic intensities and random recoveries, accepted for publication in Communiction in Statistics – Theory and methods.
A. COUSIN, T. BIELECKI, S. CREPEY, A. HERBERTSSON (2013)

Some mixing properties of conditionally mixing processes, accepted, to appear in Communication in Statistics : Theory and methods.
M. KACEM, S. LOISEL, V. MAUME-DESCHAMPS (2013)

Estimation of the parameters of a Markov-modulated loss process in insurance, accepted, to appear in Insurance : Mathematics and Economics.
A. GUILLOU, S. LOISEL, G. STUPFLER (2013)

Regards croisés sur les infections nosocomiales : de la responsabilité juridique à l’évaluation des coûts, Droit, Déontologie et Soins, à paraître.
S.BERTEZENE, D. RONDEAU (2013)

Prevention and Precaution, chapter of book, The Handbook of Insurance (édition révisée), Kluwer Academic Publishers, A paraître.
Ch. COURBAGE, B. REY, N. TREICH (2013)

Le contrôle et le pilotage de la performance éthique : résultats de recherches-interventions dans le secteur médico-social, Management et Avenir, n°65, novembre, 17p.
S.BERTEZENE (2013)

Automatic declustering of rare events, to appear in Biometrika.
C. ROBERT (2013)

Estimating the efficient price from the order flow : a Brownian Cox process approach, to appear in Stocastic Processes and their Applications.
S. DELATTRE, C. ROBERT, M. ROSENBAUM (2013)

Market Value Margin calculations under the Cost of Capital approach within a Bayesian chain ladder framework, to appear in Insurance : Mathematics and Economics.
C. ROBERT (2013)

On multiply monotone distributions, continuous or discrete, with applications, accepted, to appear in Journal of Applied Probability.
C. LEFEVRE, S. LOISEL (2013)

Quels sont les effets des pédagogies actives dans l’apprentissage de l’entrepreunariat ? Etude des changements de perceptions des élèves ingénieurs et managers à l’issue de la formation M.I.M.E (Méthode d’Initiation au Métier d’Entrepreneur), La revue de l’Entrepreneuriat, A paraître.
M. SALGADO, O. TOUTAIN (2013)
Viot C. (2012), Subjective knowledge, product attributes and consideration set: the wine case, International Journal of Wine Business Research, 24, 3, 219-248.
N° 47 - Benraïss-Noailles L., Viot C. (2012), Les jeunes, les recruteurs et les réseaux sociaux, Personnel, 528, Mars-Avril, 64-65.
eb and face-to-face in travel surveys : comparability, challenges,
Transportation, 1-25
C. BAYART, P. BONNEL

Delta-Hedging Correlation Risk ?
Review of Derivatives Research, 15(1), 25-56
A. COUSIN, S. CREPEY & Y. HANG KAN

Understanding, modelling and managing longevity risk : key issues and main challenges,
Scandinavian Actuarial Journal, Vol. 2012, n°3, 203-231.
P. BARRIEU, H. BENSUSAN, N. EL KAROUI, C. HILLAIRET, S. LOISEL, C. RAVANELLI, Y. SALHI

Iterative adjustment of survival functions by compositions of probability distortions,
The Geneva Risk and Insurance Review, 37, 156-179, (DOI) 10.1057/grir.2011.7.
A. BIENVENÜE, D. RULLIÈRE

The effect of derivative instrument use on capital market risk : evidence from banks in developed and emerging countries,
Frontiers in Finance and Economics, Vol.9, n°2, 85-121.
M.R. KEFFALA, C. DE PERETTI, C.Y. CHAN

Corporate Governance and Voluntary Recognition of ESOs Expenses,
The Empirical Economics Letters, Vol.11, n°5.
C.Y. CHAN, S.L. SU, C. DE PERETTI

La confiance, levier de l’engagement dans les PME en forte croissance,
Revue Française de Gestion, Vol.5, n°224, 65-84.
E. BELLIATO, C. CHAMPAGNE DE LABRIOLLE, I. PRIM-ALLAZ, M. SEVILLE

On relative and partial risk attitudes : theory and implications,
Economic Theory, 50, 151-167.
W.H. CHIU, L. EECKHOUDT, B. REY

Intérêt du modèle « Hurdle » pour la comparaison des comportements de mobilité déclarée dans un protocole d’enquête mixte,
Recherche Transports Sécurité, 28, 33-45.
C. BAYART, P. BONNEL

Optimal stopping for Markov processes and decreasing affine functions, Romanian
Journal of Pure and Applied Mathematics, 56, 4, 283-294.
D. DOROBANTU

Empirical Test of the Efficiency of the UK Covered Warrants Market: Stochastic Dominance and Likelihood Ratio Test Approach,
Journal of Empirical Finance, Volume 19, Issue 1, January, 162-174. Impact Factor: 0.807. Social Science Research Network Working Paper Series 1546355.
C.Y. CHAN, C. DE PERETTI, Z. QIAO, W.K. WONG

Stochastic and Tychastic Approaches to Guaranteed ALM Problem,
Bulletin Français d’Actuariat, vol. 12, n°23.
J.P. AUBIN, L. CHEN, O. DORDAN, A. FALEH, G. LEZAN, F. PLANCHET

Pricing of Parisian options for a jumpdiffusion model with two-sided jumps,
Applied Mathematical Finance, 19(2), 97-129.
H. ALBRECHER, D. KORTSCHAK, X. ZHOU

On semiparametric estimation of ruin probabilities in the classical risk model,
Scandinavian Actuarial Journal, 1-26, iFirst article.
E. MASIELLO

Priority setting in health care and higher order degree change in risk,
Journal of Health Economics, 31, 484-489.
C. COURBAGE, B. REY

Optimal prevention and other risks in a two-period model,
Mathematical Social Sciences, 63, 213-217.
C. COURBAGE, B. REY

A quadratic hedging approach to comparison of catastrophe indices, International,
Journal of Theoretical and Applied Finance, Vol.15, Issue 4, (DOI) 10.1142/s0219024912500306.
R. NORBERG, O. SAVINA

Risk and insurability of storm damages to residential buildings in Austria,
The Geneva Papers on Risk and Insurance - Issues and Practice.
F. PRETTENTHLER, H. ALBRECHER, J. KOBERL, D. KORTSCHAK

Optimal hedging of demographic risk in life insurance,
Finance and Stochastics, (DOI) 10.1007/s00780-012-0182-3.
R. NORBERG

Risk processes with dependence and premium adjusted to solvency targets.
European Actuarial Journal, Vol.2, Issue 1, 1-20 (DOI) 10.1007/s13385-012-0046-4.
C. CONSTANTINESCU, V. MAUME-DESCHAMPS, R. NORBERG

Some multivariate risk indicators ; minimization by using a Kiefer-Wolfowitz approach to the mirror stochastic algorithm,
Statistics and Risk Modeling, 29 (1), 47-71.
P. CENAC, C. PRIEUR, V. MAUME-DESCHAMPS

A paraitre

Présentation du marché de l'assurance vie en Afrique subsaharienne francophone, Assurances et gestion des risques, A paraître.
A. KAMEGA, F. PLANCHET (2012)

Quadratic Hedging by an Influent Informed Investor, à paraître dans Stochastics : An International Journal of Probability and Stochastic Processes.
A. EYRAUD-LOISEL (2012)

Are Fieller and bootstrap methods really equivalent for calculating confidence regions for ratios: an application to the MPIS data, Health; Decision and Management, à paraître.
C. SIANI, C. DE PERETTI (2012)

Understanding, modelling and managing longevity risk : key issues and main challenges, Scandinavian Actuarial Journal, Vol. 2012, N°3, 203-231.
P. BARRIEU, H. BENSUSAN, N. EL KAROUI, C. HILLAIRET, S. LOISEL, C. RAVANELLI, Y. SALHI (2012)

A bottom-up dynamic model of portfolio credit risk, Part I : Markov copula perspective, forthcoming in recent advances in financial engineering – World scientific.
A. COUSIN, T. BIELECKI, S. CREPEY, A. HERBERTSSON (2012)

A bottom-up dynamic model of portfolio credit risk, Part II : common-shock interpretation, calibration and hedging issues, forthcoming in recent advances in financial engineering – world scientific
A. COUSIN, T. BIELECKI, S. CREPEY, A. HERBERTSSON (2012)

Kremer F., Viot C. (2012), How Store brands build retailer brand image and store loyalty, International Journal of Retail and Distribution Management, 40, 7, 528-543.

Benraïss-Noailles L., Viot C. (2012), Intégration des médias sociaux dans les stratégies de recherche d’emploi et de recrutement, Revue Française de Gestion, Numéro spécial « Entreprises et vie privée », 38, 224, 125-138.

Viot C. (2012), Endossement, pseudo endossement et co-endossement d’une marque patronymique : potentiel et intérêt pour une stratégie marketing, Décisions Marketing, 66, Avril-Juin, 21-33.

Viot C., G. Bressolles (2012) Les agents virtuels intelligents : quels atouts pour la relation client ? Décision Marketing, 65, Janvier-Mars, 45-56.

Viot C. (2012), Subjective knowledge, product attributes and consideration set: the wine case, International Journal of Wine Business Research, 24, 3, 219-248.

Benraïss-Noailles L., Viot C. (2012), Les jeunes, les recruteurs et les réseaux sociaux, Personnel, 528, Mars-Avril, 64-65.



2011

Subsampling weakly dependent times series and application to extremes,
Test, 20, 499-502.
P. DOUKHAN, S. PROHL & C. ROBERT

Risk models based on time series for count random variables
Insurance : Mathematics and Economics, 48, 19–28.
H. COSSETTE, E. MARCEAU, F. TOUREILLE

A new approach for the dynamics of ultra high frequency data: the model with uncertainty zones.
Journal of Financial Econometrics, 9, 344-366.
C. ROBERT, M. ROSENBAUM (2011)

Comment mettre œuvre un ‘encadrement’ plus éthique des personnes âgées au sein des établissements médico-sociaux ?,
Forum, n°134, décembre, 14p.
S. BERTEZENE

Quality and non-quality in the health sector,
Sinergie, n°85/11, 16 p. pp. 15-31.
S. BERTEZENE, J. MARTIN

Note of caution when interpreting parameters of the distribution of excesses,
Water Resources, 34, 1215–1221.
P. RIBEREAU, P. NAVEAU, A. GUILLOU


Quelle structure de dépendance pour un générateur de scénarios économiques en assurance ?,
Bulletin Français d’Actuariat, vol. 11, n°22.
K. ARMEL, F. PLANCHET, A. KAMEGA

Is the consumption-income ratio stationary ? Evidence from a non-linear panel unit root test for OECD and non-OECD countries, Manchester School, forthcoming,
Impact Factor, 0.333.
C. STUWART, M. CERRATO, C. DE PERETTI

Polynomial structures in rank statistics distributions,
Journal of Statistical Planning and Inference, 141, 1380-1393.
C. LEFEVRE, P. PICARD

Option Hedging by an Influential Informed Investor,
Applied Stochastic Models in Business and Industry, 27, 707-722.
A. EYRAUD-LOISEL

Hedging Default Risks of CDOs in Markovian Contagion Models,
Quantitative Finance, volume 11, Issue 12, 1773-1791.
A.COUSIN, J.P. LAURENT, J.D. FERMANIAN

Model risk and determination of economic capital in the Solvency 2 project,
International Review of Applied Financial Issues and Economics, Vol. 3, Issue 2. 
F. PLANCHET, P. THÉROND

Hétérogénéité : mesure du risque d'estimation dans le cas d’une modélisation intégrant des facteurs observables,
Bulletin Français d’Actuariat, vol. 11, n°21. 
A. KAMEGA, F. PLANCHET

Optimal strategies of hedging portfolio of unit-linked life insurance contracts with minimum death guarantee,
Insurance: Mathematics and Economics, Volume 48, Issue 2, pp. 161-175.
T.O. NTEUKAM, F. PLANCHET, P. THÉROND

Fast remote but not extreme quantiles with multiple factors. Applications to Solvency II and Enterprise Risk Mangement,
European Actuarial Journal, Vol. 1, 131-157.
M. CHAUVIGNY, L. DEVINEAU, S. LOISEL, V. MAUME-DESCHAMPS

First passage time law for some Lévy processes with compound Poisson : Existence of a density,
Bernoulli 17(4), 1127-1135.
L. COUTIN, D. DOROBANTU

A propos de la tempérance,
Revue Economique, Vol. 62, 751-764.
D. CRAINICH, L. EECKHOUDT, B. REY

Risk vulnerability: a graphical interpretation,
Theory and Decision, 71, 227-234.
L. EECKHOUDT, B. REY

Transparency matters: Price formation in presence of order preferencing,
Journal of Financial Markets, 14, 227-258.
L. LESCOURRET, C. ROBERT

Surrender triggers in life insurance : classification and risk predictions,
Bulletin Français d’Actuariat, 11 (22), 5-48.
X. MILHAUD, S. LOISEL, V. MAUME-DESCHAMPS

Impacts of jumps and stochastic interest rates on the fair costs of guaranteed minimum death benefit contracts,
The Geneva Risk and Insurance Review, 36, 51-73.
F. QUITTARD-PINON, R. RANDRIANARIVONY

A new approach for the dynamics of ultra high frequency data : the model with uncertainty zones,
Journal of Financial Econometrics, 9(2), 344-366,
C. ROBERT, M. ROSENBAUM

Tous sur scène ! Comment le théâtre peut-il aider à former les cadres ?
Gestion, Volume 35/Numéro 4.
M. SALGADO

Asymptotic finite-time ruin probabilities for a class of path-dependent claim amounts using Poisson spacings,
Applied Stochastic Models in Business and Industry, 27, 503-518.
R. BIARD, C. LEFEVRE, S. LOISEL, H.N. NAGARAJA

Adjustment coefficient for risk processes in some dependent contexts,
Methodology and Computing in Applied Probability, 13 (4), 695-721.
H. COSSETTE, E. MARCEAU, V. MAUME-DESCHAMPS

A paraitre

From deterministic to stochastic surrender risk models : impact of correlation crises on economic capital, to appear in European Journal of Operational Research.
S. LOISEL, X. MILHAUD (2011)

Second order tail asymptotics for the sum of dependent, tailindependent regularly varying risks, Accepted: Extremes.
D. KORTSCHAK (2011)

Explicit ruin formulas for models with dependence among risks, to appear in Insurance : Mathematics and Economics.
H. ALBRECHER, C. CONSTANTINESCU, S. LOISEL (2011)

Moments of a compound Poisson models with dependence based on the FGM copula and discounted claims, to appear in ASTIN Bulletin.
M. BARGES, H. COSSETTE, S. LOISEL, E. MARCEAU (2011)

Iterative adjustment of survival functions by compositions of probability distortions, to appear in Geneva Risk and Insurance Review.
A. BIENVENUE, D. RULLIERE (2011)

Ruin probabilities in models with a Markov chain dependence structure, Accepted: Scandinavian Actuarial Journal.
C. CONSTANTINESCU, D. KORTSCHAK, V. MAUME-DESCHAMPS (2011)

Plug-in estimation of level sets in a non compact setting with applications in multivariate risk theory. accepté pour publication à ESAIM P&S.
E. DI BERNARDINO, T. LALOE, V. MAUME-DESCHAMPS, C. PRIEUR (2011)

Viot C. (2011), Can brand identity predict brand extension’s success or failure? Journal of Product & Brand Management, 20, 3, 216-227.

2010

Exchange Option when One Underlying Can Jump,
Finance, vol 31, N°1/2010, 33-53.
F. QUITTARD-PINON, R. RANDRIANARIVONY

Protection of Life Insurance Companies in a Market-based Framework,
North American Actuarial Journal, vol 14, N° 1, 131-151.
F. QUITTARD-PINON, C. BERNARD, O. LE COURTOIS

Fair costs of guaranteed minimum death benefit contracts,
Mathematical and Statistical Methods for Actuarial Sciences and Finance, M. Corraza and C. Pizzi Eds, Springer Verlag, 283-293.
F. QUITTARD-PINON, R. RANDRIANARIVONY


Enquête déplacements web – face-à-face : quelle comparabilité ?,
Cahiers Scientifiques du Transport, 57, 141-167.
C. BAYART, P. BONNEL

Le potentiel du web pour les enquêtes de mobilité,
Courrier des Statistiques, 129, 6p.
C. BAYART, P. BONNEL

L’impact du mode d’enquête sur la mesure des comportements de mobilité,
Economie et Statistique, n° 437.
C. BAYART, P. BONNEL

Asymptotic behavior of the finite-time expected time-integrated negative part of some risk processes,
Journal of Mathematical Analysis and Applications, Vol. 367(2), 535-549.
R. BIARD, S. LOISEL, C. MACCI, N. VERAVERBEKE

Nonparametric statistical analysis of an upper bound of the ruin probability under large claims,
Extrêmes, Vol. 13, n° 4, 439-461.
P.L. CONTI, E. MASIELLO

Applications de techniques stochastiques pour l'analyse prospective de l'impact comptable du risque de taux,
Bulletin Français d’Actuariat, vol. 11, n°21. 
F. BONNIN, F. PLANCHET, M. JUILLARD

La mesure du prix de marché du risque : quels outils pour une utilisation dans les modèles en assurance ?
Assurances et gestion des risques, Vol.78 (3/4). 
A. CAJA, F. PLANCHET

Les générateurs de Scénarios Économiques : de la conception à la mesure de la qualité. Assurances et gestion des risques,
Insurance and Risk Management Journal, Montreal, Vol.78, 1-2.
A. FALEH, F. PLANCHET, D. RULLIERE

On the efficient evaluation of ruin probabilities for completely monotone claim size distributions,
Journal of Computational and Applied Mathematics, 233(10), 2724-2736.
H. ALBRECHER, F. AVRAM, D. KORTSCHAK

An asymptotic expansion for the tail of compound sums of Burr distributed random variables,
Statistics and Probability Letters, 80(78), 612-620.
D. KORTSCHAK, H. ALBRECHER

Quasi-Monte Carlo Techniques and Rare Event Sampling.Schweiz,
Aktuarver, Mitt., (1-2), 56-70.
J. HARTINGER, D. KORTSCHAK

Higher order expansions for compound distributions and ruin probabilities with subexponential claims,
Scandinavian Actuarial Journal, 110(2), 105-135.
H. ALBRECHER, C. HIPP, D. KORTSCHAK

Discrete-time risk models based on time series for count random variables,
Astin Bulletin, 40(1), 123-150.
H. COSSETTE, E. MARCEAU, V. MAUME-DESCHAMPS

On non-monetary measures in the face of risks and the sign of the derivatives,
Bulletin of Economic Research, 62, 295-304.
C. COURBAGE, B. REY

Some consequences of correlation aversion in decision science,
Annals of Operations Research, 176, 259-269.
M. DENUIT, L. EECKHOUDT, B. REY

Prudence, temperance, edginess and risk apportionment as decreasing sensitivity to detrimental changes,
Mathematical Social Sciences, Vol. 60, 137-143.
M. DENUIT, B. REY

L’horizon temporel dans Solvabilité 2,
Bulletin Français d’Actuariat, Vol. 10, n° 19, 43-62.
A. DERIEN

Testing the type of a semi-martingale: Ito against multifractal,
Electronic Journal of Statistics, 4, 1300-1323.
L. DUVERNET, C. ROBERT, M. ROSENBAUM

Graphical methods for investigating the finite-sample properties of confidence regions,
Computational Statistics and Data Analysis, 54, 262-271.
C. DE PERETTI, C. SIANI

Credit risk premia and quadratic BSDEs with a single jump,
International Journal of Theoretical and Applied Finance, 13, 1103-1129.
S. ANKIRCHNER, A. EYRAUD-LOISEL, M. ROYER-CARENZI

BSDEs with random terminal time under enlarged filtration. American-style options hedging by an insider,
Random Operators and Stochastic Equations, Volume 18, Issue 2, 141-163.
A. EYRAUD-LOISEL, M. ROYER-CARENZI

Hedging Default Risks of CDOs in Markovian Contagion Models,
Quantitative Finance, 1-19.
J-P. LAURENT, A. COUSIN, J-D. FERMANIAN

Stationary-excess operator and convex stochastic orders,
Insurance : Mathematics and Economics, Vol. 47, 64-75.
C. LEFEVRE, S. LOISEL

Preserving preference rankings under non financial background risk,
Journal of the Operational Research Society, 61, 1302-1308.
Y. MALEVERGNE, B. REY

Les comportements de rachat en assurance vie en regime de croisière et en période de crise,
Risques, n° 83, Septembre.
X. MILHAUD, M.P. GONON, S. LOISEL

Approximations comonotones pour le prix d’une option d’achat Européenne en présence de dividendes discrets,
Bulletin Français d’Actuariat, Vol. 10, n° 19, 5-42.
P.A. PATARD, J.C. AUGROS

On asymptotic distribution of maxima of stationary sequences subject to random failure or censoring,
Statistics and Probability Letters, 80, 134-142.
C. ROBERT

On the microstructural hedging error. SIAM
Journal of Financial Mathematics, 1, 427-453.
C. ROBERT, M. ROSENBAUM

On the limiting spectral distribution of the covariance matrices of time-lagged processes,
Journal of Multivariate Analysis, 101, 2434-2451.
C. ROBERT, M. ROSENBAUM


A paraitre
Hedging of defaultable contingent claims using BSDE with uncertain time horizon, Bulletin Français d’Actuariat, à paraître.
C. BLANCHET-SCALLIET, A. EYRAUD-LOISEL, M. ROYER-CARENZI (2010)

2009

Asymptotic results for the sum of dependent non-identically distributed random variables,
Methodology and Computing in Applied Probability, 11, 279-306.
D. KORTSCHAK, H. ALBRECHER

On ruin probability and aggregate claim representations for Pareto claim size distributions,
Insurance: Mathematics and Economics, 45(3): 362-373.
H. ALBRECHER, D. KORTSCHAK

On the efficiency of the Asmussen-Kroeseestimators and its application to stop-loss transforms Blatter DGVFM 30(2), 363-377.
J. HARTINGER, D. KORTSCHAK

Finite-time ruin probabilities for discrete, possibly dependent, claim severities,
Methodology and Computing in Applied Probability, 11, 425-441.
C. LEFEVRE, S. LOISEL

TVaR-based capital allocation with copulas,
Insurance : Mathematics and Economics, Vol. 45, 348-361.
M. BARGES, H. COSSETTE, E. MARCEAU

Mastering performance through quality and networking, Total Quality,
Management, Vol. 21, n°4, pp.413-428.
S. BERTEZENE, J. MARTIN

Maîtriser la performance par la qualité et l'organisation réticulaire: l'exemple des établissements médico-sociaux,
Revue Marocaine de Commerce et de Gestion.
S. BERTEZENE, J. MARTIN

A Comparative Analysis of CDO Pricing Models under the Factor Copula Framework,
Journal of Derivatives, Vol. 16, n°4, 9-37.
X. BURTSCHELL, J. GREGORY, J-P. LAURENT

Regularity of the Euclid algorithm, application to the analysis of fast GCD algorithm,
Journal of Symbolic Computation, 44, n°7, 726-767.
E. CESARATTO, J. CLEMENT, B. DAIREAUX, L. LHOTE, V. MAUME-DESCHAMPS, B. VALLEE

Risk aggregation in Solvency II: How to converge the approaches of the internal models and those of the standard formula ?
Bulletin Français d’Actuariat, Vol. 9, n° 18, 107-145.
L. DEVINEAU, S. LOISEL

Construction d’un algorithme d’accélération de la méthode des « simulations dans les simulations » pour le calcul du capital économique Solvabilité II,
Bulletin Français d’Actuariat, Vol. 9, n° 17, 189-222.
L. DEVINEAU, S. LOISEL

Optimal strategies in a risky debt context,
An International Journal of Probability and Stochastics Processes, Vol. 81, Nos. 3-4,269-277.
D. DOROBANTU, M. MANCINO, M. PONTIER

Mesure des risques de marché et de souscription vie en situation d’information incomplète pour un portefeuille de prévoyance,
Bulletin Français d’Actuariat, Vol. 9, n° 18, 79-105.
J.P. FELIX, F. PLANCHET

Estimating Copula Densities through Wavelets,
Insurance: Mathematics and Economics, 44, 170-181.
C. GENEST, E. MASIELLO, K. TRIBOULAY

A strong hysteretic model for Okun’s law: theory and preliminary investigation,
International Review of Applied Economics, Vol. 3, Issue 4, July 2009, 445-462.
D. LANG, C. DE PERETTI

Finite-time ruin probabilities for discrete, possibly dependent, claim severities,
Methodology and Computing in Applied probability, Vol. 11, n° 3, 425-441.
C. LEFEVRE, S. LOISEL

Convergence and asymptotic variance of bootstrapped finite-time ruin probabilities with partly shifted risk processes,
Insurance: Mathematics and Economics, Vol. 45, Issue 3, 374-381.
S. LOISEL, C. MAZZA, D. RULLIERE

Sensitivity analysis and density estimation for finite-time ruin probabilities,
Journal of Computational and Applied Mathematics, Vol. 230, n° 1, 107-120.
S. LOISEL, N. PRIVAULT

On cross risk vulnerability,
Insurance: Mathematics and Economics, Vol. 45, 224-229.
Y. MALEVERGNE, B. REY

Rentes en cours de service : un nouveau critère d'allocation d'actif,
Bulletin Français d'Actuariat, Vol. 9, n° 17, 37-69.
F. PLANCHET, P. THEROND

Asymptotic distributions for the intervals estimators of the extremal index and the cluster-size distribution,
Journal of Statistical Planning and Inference, 139, 3288-3309.
C. ROBERT

Inference for the limiting cluster size distribution of extreme values,
The Annals of Statistics, 37, 271-310.
C. ROBERT

A sliding blocks estimator for the extremal index,
Electronic Journal of Statistics, 3, 993–1020.
C. ROBERT, J. SEGERS, C. FERRO

Tourism destination competitiveness: The french regions case,
European Journal of Tourism Research, Vol.2, No.2.
E. ROBINOT, L. BOTTI, N. PEYPOCH, B. SOLONANDRASANA

Les jeux d'entreprises : un outil de formation au management,
Revue Éducation Permanente, n° 178/2009-1, 143-150.
M. SALGADO

Gestion stratégique d’un fonds de pension en temps continu,
Bulletin Français d’Actuariat, Vol. 9, n° 17, 110-153.
M. TALFI

2008

On finite-time ruin probabilities for classical risk models,
Scandinavian Actuarial Journal 1, 41-60.
C. LEFEVRE, S. LOISEL

Impact of correlation crises in risk theory: Asymptotics of finite-time ruin probabilities for heavy-tailed claim amounts when some independence and stationary assumptions are relaxed,
Insurance: Mathematics and Economics, 43, 412-421.
R. BIARD, C. LEFEVRE, S. LOISEL

Spectral risk measures and portfolio selection,
Journal of Banking and Finance, Vol. 32, n°9, 1870-1882.
A. ADAM, M. HOUKARI, J-P. LAURENT

Pricing derivatives with barriers in a stochastic interest rate environment,
Journal of Economic Dynamics and Control, 32, 2903-2938.
C. BERNARD, O. LE COURTOIS, F. QUITTARD-PINON

On the willingness to pay to reduce risks of small losses,
Journal of Economics, 95, 75-82.
C. COURBAGE, B. REY

Comparison results for exchangeable credit risk portfolios,
Insurance: Mathematics and Economics, Vol. 42, n°3, 1118-1127.
A. COUSIN, J-P. LAURENT

Actuar : An R Package for Actuarial Science,
Journal of Statistical Software, Volume 25, Issue 7.
C. DUTANG, V. GOULET, M. PIGEON

Fair valuation of participating life insurance contracts with jumps risk,
The Geneva Review on Risk and Insurance Theory, Vol. 33, 106-136.
O. LE COURTOIS, F. QUITTARD-PINON

On some key research issues in Enterprise Risk Management related to economic capital and diversification effect at group level,
Bulletin Français d'Actuariat, No. 15, Vol. 9.
W. FISHER, S. LOISEL, S. WANG

Mortality fluctuations modelling with a shared frailty approach,
Life & Pensions, octobre, 39-44.
S. FULLA, J-P. LAURENT

Exponential inequalities for VLMC empirical trees. ESAIM Prob. Stat., 12, 119-229.
A. GALVES, V. MAUME-DESCHAMPS, B. SCHMITT

The optimal capital structure of the firm with stable Lévy asset returns,
Decisions in Economics and Finance, 31, 51-72.
O. LE COURTOIS, F. QUITTARD-PINON

Robustness analysis and convergence of empirical finite-time ruin probabilities and estimation risk solvency margin,
Insurance: Mathematics and Economics, Volume 42, Issue 2, April, 746-762.
S. LOISEL, C. MAZZA, D. RULLIERE

Perturbations extrêmes sur la dérive de mortalité anticipée,
Assurances et Gestion des Risques, Vol. 76(3)
F. PLANCHET, M. JUILLARD, P. THEROND

Valuing Options in Jump Diffusion Models using Generalized Fourier Analysis,
Banque & Marchés, n° 97, novembre-décembre.
F. QUITTARD-PINON, R. RANDRIANANIVONY

Calibrage d’options pour trois modèles mixtes diffusions et sauts,
Revue Finance, vol. 29, n° 2, 103-130.
F. QUITTARD-PINON, R. RANDRIANANIVONY

How to price efficiently European options in some geometric Lévy processes models,
International Journal of Business, vol. 13, n° 4, 301-314.
F. QUITTARD-PINON, R. RANDRIANANIVONY

Tails of random sums of a heavy-tailed number of light-tailed terms,
Insurance: Mathematics and Economics, 43, 85-92.
C. ROBERT, J. SEGERS

Estimating the multivariate extremal index function,
Bernoulli, 14, 1027-1064.
C. ROBERT

Le théâtre, un outil de formation au management,
Revue Française de Gestion, Vol. 34/181, 77-96.
M. SALGADO

IFRS, solvabilité 2, embedded value : quel traitement du risque ?
Bulletin Français d’Actuariat, vol. 8, n° 15, janvier-juin, 67-96.
P. THEROND

2007

Contrôle interne, contrôle externe et qualité : le cas des services et établissements sociaux et médico-sociaux,
Economie et Management, juin, 8 p.
S. BERTEZENE

Comment mesurer l’éthique dans les services et établissements sociaux et médico-sociaux ?
Droit Déontologie et Santé, septembre, 15 p.
S. BERTEZENE, J.J. NILLES

Beyond the Gaussian Copula: Stochastic and Local Correlation,
Journal of Credit Risk, Vol. 3, n°1, 31-62.
X. BURTSCHELL, J. GREGORY, J-P. LAURENT

Precautionary Saving in the Presence of Other Risks,
Economic Theory, 32: 414-424.
C. COURBAGE, B. REY

Negative binomial version of the Lee-Carter model for mortality forecasting,
Applied Stochastic Models in Business and Industry. Volume 23, Issue 5, 385-401.
A. DELWARDE, M. DENUIT, C. PARTRAT

A good sign for multivariate risk taking,
Management Science, 53: 117-124.
L. EECKHOUDT, B. REY, H. SCHLESINGER

Time to ruin, insolvency penalties and dividends in a Markov-modulated multirisk model with common shocks,
Bulletin Français d'Actuariat, No. 14, Vol. 8, 4-24.
S. LOISEL

Outils numériques pour la simulation Monte Carlo des produits dérivés complexes,
Bulletin Français d’Actuariat, vol. 8, n° 14, 74-117.
P.A. PATARD

Construction de tables de mortalité prospectives : le cas des petites populations,
Bulletin Français d'Actuariat, Vol. 7, n° 14, 118-146.
F. PLANCHET, V. LELIEUR

L’utilisation des splines bi-dimensionnels pour l'estimation de lois de maintien en arrêt de travail,
Bulletin Français d’Actuariat, Vol. 7, n° 13.
F. PLANCHET, P. WINTER

Stochastic stability of some state-dependent growth-collapse processes,
Advances in Applied Probability, 39, 1-32.
C. ROBERT

Analysing the performance of bootstrap neural tests for conditional heteroskedascity in ARCH-M models,
Computational Statistics & Data Analysis, Vol. 51, Issue 5, February, 2442-2460.
C. SIANI, C. DE PERETTI

Provisions et capital de solvabilité d'une compagnie d'assurance : méthodologie d'utilisation de Value-at-Risk,
Assurances et Gestion des Risques, Vol. 74 (4).
P. THEROND, F. PLANCHET

2006

A nonhomogeneous risk model for insurance,
Computers and Mathematics with Applications, 51, 325-334.
C. LEFEVRE, Ph. PICARD

Le point sur les options parisiennes et leurs applications,
Banque & Marchés n°82.
C. BERNARD, O. LE COURTOIS

Development and pricing of a new participating contract,
North American Actuarial Journal, 10(4), 179-195.
C. BERNARD, O. LE COURTOIS, F. QUITTARD-PINON

Alternative Risk Measures for Alternative Investments,
Journal of Risk, Vol. 8, n°4, 1-32.
A. CHABAANE, J-P. LAURENT, Y. MALEVERGNE, F. TURPIN

Prudence and optimal prevention for health risks,
Health Economics, Vol 15, n°12, 1323-1327. 
Ch. COURBAGE, B. REY

Decision-making with the incremental cost-effectiveness ratio under uncertainty, Health and System Science, SAS - 9/2006, Information decision patient, 111-145.
C. DE PERETTI, C. SIANI

Risk-Neutral and Actual Default Probabilities with an Endogenous Bankruptcy Jump-Diffusion Model, Asia-Pacific 
Financial Markets, 13, 11- 39.
O. LE COURTOIS, F. QUITTARD-PINON

Extreme dependence of multivariate catastrophic losses,
Scandinavian Actuarial Journal, 2006-4, 203-225.
L. LESCOURRET, C. ROBERT

On the pricing of power and other polynomial options,
Journal of Derivatives, Vol. 13, n°4: 61-71. 
S. MACOVSCHI, F. QUITTARD-PINON

On the power of generalized extreme value (GEV) and generalized Pareto distribution (GPD) estimators for empirical distributions of stock returns,
Applied Financial Economics, Vol. 16, n° 3, 271 – 289.
Y. MALEVERGNE, V. PISARENKO, D. SORNETTE

Exponential inequalities and functional estimations for weak dependent data; applications to dynamical systems,
Stochastics and Dynamics, 6, no. 4, 535-560.
V. MAUME-DESCHAMPS

Exponential inequalities and estimation of conditional probabilities, Lect. notes in Stat.,
Springer, Vol. 187, 123-140.
V. MAUME-DESCHAMPS

Étude du risque systématique de mortalité,
Assurances et Gestion des Risques, Vol. 74 (3). 
F. PLANCHET, L. FAUCILLON, M. JUILLARD

Mesure de l'incertitude tendancielle sur la mortalité – application à un régime de rentes,
Assurances et Gestion des Risques, Vol 75 (3). 
F. PLANCHET, M. JUILLARD

Backward stochastic differential equations with jumps and related non-linear expectations,
Stochastic Processes and Their Applications, Vol. 116, n°10, 1358-1376.
M. ROYER

Fieller's method performance in problematic cases for decision-making,
Health and System Science, SAS - 9/2006, Information decision patient, 205-226.
C. SIANI, C. DE PERETTI

Flux RSS HAL

  • [hal-00735843] Ruin problems with worsening risks or with infinite mean claims
    27 septembre 2012
    In this paper, we obtain asymptotic ruin probabilities in two models where claim amounts become more and more adverse, because of phenomena like climate change or some kind of sectorial inflation. The method we use also enables us to study a risk model in which claims have infinite mean. In such models, ruin probability can be controlled by a strong increase in the premium income rate, which causes premium to become unacceptable for customers. We provide numerical illustrations of the impact of the (uncertain) speed of change in the parameter of the claim size distribution, both in terms of ruin and in terms of time at which premium becomes too high.
  • [hal-00735298] Optimal liquidation with additional information
    11 janvier 2016
    We consider the problem of how to optimally close a large assetposition in a market with a linear temporary price impact. We take the perspectiveof an agent who obtains a signal about the future price evolvement.By means of classical stochastic control we derive explicit formulas for the closingstrategy that minimizes the expected execution costs. We compare agentsobserving the signal with agents who do not see it. We compute explicitly theexpected additional gain due to the signal, and perform a comparative staticsanalysis.
  • [hal-02440063] La mobilité domicile-travail des actifs de l’aire urbaine lyonnaise : une approche temporelle (1995-2015)
    14 janvier 2020
    Ces dernières années, les grandes villes françaises ont connu un double phénomène de métropolisation et d’expansion spatiale. Dans ce contexte, la mobilité quotidienne des individus, et tout particulièrement celle liée au travail, constitue un enjeu central pour le développement des infrastructures. En s’appuyant sur les trois dernières Enquêtes ménages déplacements, cet article propose d’étudier l’évolution de la mobilité domicile-travail des actifs lyonnais depuis vingt ans (distance domicile-travail parcourue et usage de la voiture pour aller au travail). L’objectif est de déterminer si l’évolution des indicateurs de mobilité est davantage imputable à une modification de comportements des actifs ou à un changement structurel des caractéristiques de ces derniers, en intégrant une dimension temporelle dans les modèles économétriques. Si certaines différences de comportements de mobilité persistent, notamment selon le type d’emploi, l’utilisation de la voiture pour se rendre au travail a fortement évolué, mettant en évidence un effet de rattrapage chez les femmes et les professions et catégories socioprofessionnelles les moins élevées.
  • [hal-01232683] A Credibility Approach of the Makeham Mortality Law
    24 novembre 2015
    The present article illustrates a credibility approach to mortality. Interest from life insurers to assess their portfolios' mortality risk has considerably increased. The new regulation and norms, Solvency II, shed light on the need of life tables that best reect the experience of insured portfolios in order to quantify reliably the underlying mortality risk. In this context and following the work of Bühlmann and Gisler (2005) and Hardy and Panjer (1998), we propose a credibility approach which consists on reviewing, as new observations arrive, the assumption on the mortality curve. Unlike the methodology considered in Hardy and Panjer (1998) that consists on updating the aggregate deaths we have chosen to add an age structure on these deaths. Formally, we use a Makeham graduation model. Such an adjustment allows to add a structure in the mortality pattern which is useful when portfolios are of limited size so as to ensure a good representation over the entire age bands considered. We investigate the divergences in the mortality forecasts generated by the classical credibility approaches of mortality including Hardy and Panjer (1998) and the Poisson-Gamma model on portfolios originating from various French insurance companies.
  • [hal-01107525] Hedging of Defaultable Contingent Claims using BSDE with uncertain time horizon
    20 janvier 2015
    This article focuses on the mathematical problem of existence and uniqueness of BSDE with a random terminal time which is a general random variable but not a stopping time, as it has been usually the case in the previous literature of BSDE with random terminal time. The main motivation of this work is a financial or actuarial problem of hedging of defaultable contingent claims or life insurance contracts, for which the terminal time is a default time or a death time, which are not stopping times. We have to use progressive enlargement of the Brownian filtration, and to solve the obtained BSDE under this enlarged filtration. This work gives a solution to the mathematical problem and proves the existence and uniqueness of solutions of such BSDE under certain general conditions. This approach is applied to the financial problem of hedging of defaultable contingent claims, and an expression of the hedging strategy is given for a defaultable contingent claim or a life insurance contract.
  • [hal-00201347] Sensitivity analysis and density estimation for finite-time ruin probabilities
    1 avril 2008
    The goal of this paper is to obtain probabilistic representation formulas that are suitable for the numerical computation of the (possibly non-continuous) density functions of infima of reserve processes commonly used in insurance. In particular we show, using Monte Carlo simulations, that these representation formulas perform better than standard finite difference methods. Our approach differs from standard Malliavin probabilistic representation techniques which generally require more smoothness on random variables, entailing the continuity of their density functions.
  • [hal-00168958] On Finite-Time Ruin Probabilities for Classical Risk Models
    31 août 2007
    This paper is concerned with the problem of ruin in the classical compound binomial and compound Poisson risk models. Our primary purpose is to extend to those models an exact formula derived by Picard and Lefèvre (1997) for the probability of (non-)ruin within finite time. First, a standard method based on the ballot theorem and an argument of Seal-type provides an initial (known) formula for that probability. Then, a concept of pseudo-distributions for the cumulated claim amounts, combined with some simple implications of the ballot theorem, leads to the desired formula. Two expressions for the (non-)ruin probability over an infinite horizon are also deduced as corollaries. Finally, an illustration within the framework of Solvency II is briefly presented.
  • [hal-00341431] Hedging of Defaultable Contingent Claims using BSDE with uncertain time horizon.
    3 septembre 2009
    This article focuses on the mathematical problem of existence and uniqueness of BSDE with a random terminal time which is a general random variable but not a stopping time, as it has been usually the case in the previous literature of BSDE with random terminal time. The main motivation of this work is a financial or actuarial problem of hedging of defaultable contingent claims or life insurance contracts, for which the terminal time is a default time or a death time, which are not stopping times. We have to use progressive enlargement of the Brownian filtration, and to solve the obtained BSDE under this enlarged filtration. This work gives a solution to the mathematical problem and proves the existence and uniqueness of solutions of such BSDE under certain general conditions. This approach is applied to the financial problem of hedging of defaultable contingent claims, and an expression of the hedging strategy is given for a defaultable contingent claim or a life insurance contract.
  • [hal-00502847] From deterministic to stochastic surrender risk models: impact of correlation crises on economic capital
    15 juillet 2010
    In this paper we raise the matter of considering a stochastic modeling of the surrender rate instead of the classical S-shaped deterministic curve (in function of the spread), still used in almost all insurance companies. A stochastic model in which surrenders are conditionally independent with respect to a S-curve disturbance would be tempting in some extreme scenarii, especially to address the question of the lack of data. However, we explain why this conditional independence between policyholders, which has the advantage to be the simplest assumption, looks particularly maladaptive when the spread increases. Indeed the correlation between policyholders' decisions is most likely to increase in this situation. We suggest and develop a simple model which integrates those phenomena. With stochastic orders it is possible to compare it to the conditional independence approach qualitatively. In an partially internal Solvency II model, we quantify the impact of the correlation phenomenon on a real life portfolio for a global risk management strategy.
  • [hal-00374367] An extension of Davis and Lo's contagion model
    28 janvier 2010
    The present paper provides a multi-period contagion model in the credit risk field. Our model is an extension of Davis and Lo's infectious default model. We consider an economy of n firms which may default directly or may be infected by other defaulting firms (a domino effect being also possible). The spontaneous default without external influence and the infections are described by not necessarily independent Bernoulli-type random variables. Moreover, several contaminations could be required to infect another firm. In this paper we compute the probability distribution function of the total number of defaults in a dependency context. We also give a simple recursive algorithm to compute this distribution in an exchangeability context. Numerical applications illustrate the impact of exchangeability among direct defaults and among contaminations, on different indicators calculated from the law of the total number of defaults. We then examine the calibration of the model on iTraxx data before and during the crisis. The dynamic feature together with the contagion effect seem to have a significant impact on the model performance, especially during the recent distressed period.
  • [hal-01985266] From deterministic to stochastic surrender risk models: impact of correlation crises on economic capital
    17 janvier 2019
    In this paper we raise the matter of considering a stochastic model of the surrender rate instead of the classical S-shaped deterministic curve (in function of the spread), still used in almost all insurance companies. For extreme scenarios, due to the lack of data, it could be tempting to assume that surrenders are conditionally independent with respect to a S-curve disturbance. However, we explain why this conditional independence between policyholders decisions, which has the advantage to be the simplest assumption, looks particularly maladaptive when the spread increases. Indeed the correlation between policyholders' decisions is most likely to increase in this situation. We suggest and develop a simple model which integrates those phenomena. With stochastic orders it is possible to compare it to the conditional independence approach qualitatively. In a partially internal Solvency II model, we quantify the impact of the correlation phenomenon on a real life portfolio for a global risk management strategy.
  • [hal-01575169] On a construction of multivariate distributions given some multidimensional marginals
    1 mars 2019
    In this paper, we investigate the link between the joint law of a d-dimensional random vector and the law of some of its multivariate marginals. We introduce and focus on a class of distributions, that we call projective, for which we give detailed properties. This allows us to obtain necessary conditions for a given construction to be projective. We illustrate our results by proposing some theoretical projective distributions, as elliptical distributions or a new class of distribution having given bivariate margins. In the case where the data do not necessarily correspond to a projective distribution, we also explain how to build proper distributions while checking that the distance to the prescribed projections is small enough.
  • [hal-01242023] Market inconsistencies of the market-consistent European life insurance economic valuations: pitfalls and practical solutions
    11 décembre 2015
    The Solvency II directive has introduced a specific so-called risk-neutral framework to valuate economic accounting quantities throughout European life insurance companies. The adaptation of this theoretical notion for regulatory purposes requires the addition of a specific criterion, namely the market-consistency, in order to objectify the choice of the valuation probability measure. This paper aims at pointing out and fixing some of the major risk sources embedded in the current regulatory life insurance valuation scheme. We compare actuarial and financial valuation schemes. We then address first operational issues and potential market manipulation sources in life insurance, induced by both theoretical and regulatory pitfalls. For example, we show that calibrating the interest rate model in October 2014 instead of December 31 st 2014 generates a 140%-increase in the economic own funds of a representative French life insurance company. We propose various adaptations of the current implementations, including product-specific valuation scheme, to limit the impact of these market-inconsistencies.
  • [hal-00816894] Risk indicators with several lines of business: comparison, asymptotic behavior and applications to optimal reserve allocation
    23 avril 2013
    In a multi-dimensional risk model with dependent lines of business, we propose to allocate capital with respect to the minimization of some risk indicators. These indicators are sums of expected penalties due to the insolvency of a branch while the global reserve is either positive or negative. Explicit formulas in the case of two branches are obtained for several models independent exponential, correlated Pareto). The asymptotic behavior (as the initial capital goes to infinity) is studied. For higher dimension and several periods, no explicit expression is available. Using a stochastic algorithm, we get estimations of the allocation, compare the different allocations and study the impact of dependence.
  • [hal-01158141] Modelling sovereign risks: from a hybrid model to the generalized density approach
    29 mai 2015
    Motivated by the European sovereign debt crisis, we study the sovereign risk by analyzing the solvency and the sovereign bond yield and propose a hybrid model which takes into account the movement of the sovereign solvency and the impact of critical political events. This model combines the structural and the reduced-form approaches in the credit risk modelling and the sovereign default time can be decomposed into an accessible part with predictable components and a totally inaccessible part. As a consequence, the probability of default at a critical political event date is nonzero and the probability law admits atoms. We study this model in a generalized density framework to deduce the compensator process of default and show that the intensity process does not necessarily exist. We also apply the model to the valuation of sovereign bond and explain the significant jumps in the long-term government bond yield during the sovereign crisis.
  • [hal-00442047] Stationary-excess operator and convex stochastic orders
    2 avril 2010
    The present paper aims to point out how the stationary-excess operator and its iterates transform the s-convex stochastic orders and the associated moment spaces. This allows us to propose a new unified method on constructing s-convex extrema for distributions that are known to be t-monotone. Both discrete and continuous cases are investigated. Several extremal distributions under monotonicity conditions are derived. They are illustrated with some applications in insurance.
  • [hal-00517766] Fast remote but not extreme quantiles with multiple factors. Applications to Solvency II and Enterprise Risk Management
    13 juin 2011
    For operational purposes, in Enterprise Risk Management or in insurance for example, it may be important to estimate remote (but not extreme) quantiles of some function ƒ of some random vector. The call to ƒ may be time- and resource-consuming so that one aims at reducing as much as possible the number of calls to ƒ. In this paper, we propose some ways to address this problem of general interest. We then numerically analyze the performance of the method on insurance and Enterprise Risk Management real-world case studies.
  • [hal-00768526] Partial Splitting of Longevity and Financial Risks: The Longevity Nominal Choosing Swaptions
    21 décembre 2012
    In this paper, we introduce a new structured financial product: the so-called Life Nominal Chooser Swaption (LNCS). Thanks to such a contract, insurers could keep pure longevity risk and transfer a great part of interest rate risk underlying annuity portfolios to financial markets. Before the issuance of the contract, the insurer determines a confidence band of survival curves for her portfolio. An interest rate hedge is set up, based on swaption mechanisms. The bank uses this band as well as an interest rate model to price the product. At the end of the first period (e.g. 8 to 10 years), the insurer has the right to enter into an interest rate swap with the bank, where the nominal is adjusted to her (re-forecasted) needs. She chooses (inside the band) the survival curve that better fits her anticipation of future mortality of her portfolio (during 15 to 20 more years, say) given the information available at that time. We use a population dynamics longevity model and a classical two-factor interest rate model %two-factor Heath-Jarrow-Morton (HJM) model for interest rates to price this product. Numerical results show that the option offered to the insurer (in terms of choice of nominal) is not too expensive in many real-world cases. We also discuss the pros and the cons of the product and of our methodology. This structure enables insurers and financial institutions to remain in their initial field of expertise.
  • [hal-01887402] The De Vylder-Goovaerts conjecture holds true within the diffusion limit
    4 octobre 2018
    The De Vylder and Goovaerts conjecture is an open problem in risk theory, stating that the finite time ruin probability in a standard risk model is greater or equal to the corresponding ruin probability evaluated in an associated model with equalized claim amounts. Equalized means here that the jump sizes of the associated model are equal to the average jump in the initial model between 0 and a terminal time T. In this paper, we consider the diffusion approximations of both the standard risk model and its associated risk model. We prove that the associated model, when conveniently renor-malized, converges in distribution to a Gaussian process satisfying a simple SDE. We then compute the probability that this diffusion hits the level 0 before time T and compare it with the same probability for the diffusion approximation for the standard risk model. We conclude that the De Vylder and Goovaerts conjecture holds true for the diffusion limits.
  • [hal-03947035] Outcomes of rescue procedures in the management of locally recurrent ampullary tumors: A Pancreas 2000/EPC study
    19 janvier 2023
    Background: Ampullary lesions are rare and can be locally treated either with endoscopic papillectomy or transduodenal surgical ampullectomy. Management of local recurrence after a first-line treatment has been poorly studied. Methods: Patients with a local recurrence of an ampullary lesion initially treated with endoscopic papillectomy or transduodenal surgical ampullectomy were retrospectively included from a multi-institutional database (58 centers) between 2005 and 2018. Results: A total of 103 patients were included, 21 (20.4%) treated with redo endoscopic papillectomy, 14 (13.6%) with transduodenal surgical ampullectomy, and 68 (66%) with pancreaticoduodenectomy. Redo endoscopic papillectomy had low morbidity with 4.8% (n = 1) severe to fatal complications and a R0 rate of 81% (n = 17). Transduodenal surgical ampullectomy and pancreaticoduodenectomy after a first procedure had a higher morbidity with Clavien III and more complications, respectively, 28.6% (n = 4) and 25% (n = 17); R0 resection rates were 85.7% (n = 12) and 92.6% (n = 63), both without statistically significant difference compared to endoscopic papillectomy (P = .1 and 0.2). Pancreaticoduodenectomy had 4.4% (n = 2) mortality. No deaths were registered after transduodenal surgical ampullectomy or endoscopic papillectomy. Recurrences treated with pancreaticoduodenectomy were more likely to be adenocarcinomas (79.4%, n = 54 vs 21.4%, n = 3 for transduodenal surgical ampullectomy and 4.8%, n = 1 for endoscopic papillectomy, P < .0001). Three-year overall survival and disease-free survival were comparable. Conclusion: Endoscopy is appropriate for noninvasive recurrences, with resection rate and survival outcomes comparable to surgery. Surgery applies more to invasive recurrences, with transduodenal surgical ampullectomy rather for carcinoma in situ and early cancers and pancreaticoduodenectomy for more advanced tumors.
  • [halshs-01784310] [Methods for the analysis and treatment of cost data by micro- and gross-costing approaches]
    3 mai 2018
    This work addresses the analysis of individual cost data in the setting of interventional or observational studies using statistical analysis software once the costs per patient have been estimated. It is in fact necessary to be able to present and describe data in an appropriate manner in each of the studied health strategies and to test whether the difference in costs observed between treatment groups is due to chance or not. Furthermore, cost analysis differs from conventional statistical analysis in that cost data have a certain number of specific properties, including their use by health decision-makers. This work also addresses the difficulties that generally arise in regard to the distribution of cost; it explains why the mathematical average constitutes the only relevant measure for economists; and it outlines which analyses are required for inter-strategy cost comparisons. It also covers the issue of missing or censored data, features that are inherent to information collected regarding costs and to sensitivity analyses.
  • [halshs-00678228] Approximating payoffs and pricing formulas
    12 mars 2012
    We use the ideas developed by Madan and Milne (1994. Mathematical Finance 3, 223-245), Lacoste (1996. Mathematical Finance 6, 197-213) to explore the optimality of polynomial approximations in pricing securities. In particular, we look at the approximations for security payoffs as well as the associated pricing formula in a L2 framework. We apply these ideas to two examples, one where the state variable follows an Ornstein-Uhlenbeck process and one based on Brownian motion with reflecting barriers, to illustrate the strengths and weaknesses of the approach.
  • [hal-02278733] Mesure du risque de perte d’autonomie totale en France métropolitaine
    4 septembre 2019
    Ce papier s’intéresse à la construction de loi d’incidence pour la perte d’autonomie totale sur la période 2010-2012 à partir des données des bases nationales d’hospitalisation (PMSI 2008-2013). Nos résultats sont décomposés selon deux types de dépendance : dépendance cognitive (ou démence) et dépendance physique. Les femmes présentent un risque légèrement plus important d’entrée en démence, alors que le risque lié à la dépendance physique est plus marqué chez les hommes. L’incidence en dépendance « toutes causes » est comparable entre hommes et femmes. Les résultats suggèrent un ralentissement de l’incidence aux delà de 90 ans et une convergence des hommes et des femmes aux grands âges. Les implications de ces résultats pour l’extrapolation aux grands âges sont discutées.
  • [hal-03448339] On a Markovian game model for competitive insurance pricing
    25 novembre 2021
    In this paper, we extend the non-cooperative one-period game of Dutang et al. (2013) to model a non-life insurance market over several periods by considering the repeated (one-period) game. Using Markov chain methodology, we derive general properties of insurer portfolio sizes given a price vector. In the case of a regulated market (identical premium), we are able to obtain convergence measures of long run market shares. We also investigate the consequences of the deviation of one player from this regulated market. Finally, we provide some insights of long-term patterns of the repeated game as well as numerical illustrations of leadership and ruin probabilities.
  • [hal-00549788] Asymptotic Properties of Optimal Trajectories in Dynamic Programming
    22 décembre 2010
    We prove in a dynamic programming framework that uniform convergence of the finite horizon values implies that asymptotically the average accumulated payoff is constant on optimal trajectories. We analyze and discuss several possible extensions to two-person games.
  • [hal-00634326] Almost sure rates of mixing for i.i.d. unimodal maps.
    20 octobre 2011
    It has been known since the pioneering work of Jakobson and subsequent work by Benedicks and Carleson and others that a positive measure set of quadratic maps admit an absolutely continuous invariant measure. Young and Keller-Nowicki proved exponential decay of its correlation functions. Benedicks and Young, and Baladi and Viana studied stability of the density and exponential rate of decay of the Markov chain associated to i.i.d. small perturbations. The almost sure statistical properties of the sample stationary measures of i.i.d. itineraries are more difficult to estimate than the "averaged statistics". Adapting to random systems, on the one hand partitions associated to hyperbolic times due to Alves, and on the other a probabilistic coupling method introduced by Young to study rates of mixing, we prove stretched exponential upper bounds for the almost sure rates of mixing.
  • [hal-01343702] Information uncertainty related to marked random times and optimal investment
    1 mars 2017
    We study an optimal investment problem under default risk where related information such as loss or recovery at default is considered as an exogenous random mark added at default time. Two types of agents who have different levels of information are considered. We first make precise the insider's information flow by using the theory of enlargement of filtrations and then obtain explicit logarithmic utility maximization results to compare optimal wealth for the insider and the ordinary agent. MSC: 60G20, 91G40, 93E20
  • [hal-01169225] Construction de lois d'expérience en présence d'évènements concurrents : Application à l'estimation des lois d'incidence d'un contrat dépendance
    21 juillet 2015
    Cet article propose d’illustrer la mise en œuvre de méthodes d’estimation non paramétriques, introduites dans le cadre de modèles multi-états markoviens avec censure, pour construire des lois d’expérience applicables en présence de plusieurs évènements concurrents. Cette situation se présente en pratique en assurance dépendance lorsqu’il est nécessaire de distinguer les lois d’incidence par pathologie. Aussi, plutôt que d’appliquer des techniques utilisées usuellement par les praticiens et consistant à observer marginalement chaque cause d’entrée en dépendance, l’approche décrite permet d’estimer globalement l’ensemble des lois d’entrée par cause et de correctement appréhender l’interdépendance entre chacune d’elle. Ce travail fournit une comparaison des résultats obtenus par ces deux approches au niveau de la provision à constituer afin de pouvoir justifier d’une approche marginale, plus simple à mettre en œuvre en pratique.
  • [hal-01399093] Spatial Expectile Predictions for Elliptical Random Fields
    29 décembre 2016
    In this work, we consider an elliptical random field. We propose some spatial expectile predictions at one site given observations of the field at some other locations. To this aim, we first give exact expressions for conditional expectiles, and discuss problems that occur for computing these values. A first affine expectile regression predictor is detailed, an explicit iterative algorithm is obtained, and its distribution is given. Direct simple expressions are derived for some particular elliptical random fields. The performance of this expectile regression is shown to be very poor for extremal expectile levels, so that a second predictor is proposed. We prove that this new extremal prediction is asymptotically equivalent to the true conditional expectile. We also provide some numerical illustrations, and conclude that Expectile Regression may perform poorly when one leaves the Gaussian random field setting.
  • [hal-00325406] A class of optimal stopping problems for Markov processes
    29 septembre 2008
    Our purpose is to study a particular class of optimal stopping problems for Markov processes. We justify the value function convexity and we deduce that there exists a boundary function such that the smallest optimal stopping time is the first time when the Markov process passes over the boundary depending on time. Moreover, we propose a method to find the optimal boundary function.
  • [hal-00201377] Finite-Time Ruin Probabilities for Discrete, Possibly Dependent, Claim Severities
    28 décembre 2007
    This paper is concerned with the compound Poisson risk model and two generalized models with still Poisson claim arrivals. One extension incorporates inhomogeneity in the premium input and in the claim arrival process, while the other takes into account possible dependence between the successive claim amounts. The problem under study for these risk models is the evaluation of the probabilities of (non-)ruin over any horizon of finite length. The main recent methods, exact or approximate, used to compute the ruin probabilities are reviewed and discussed in a unified way. Special attention is then paid to an analysis of the qualitative impact of dependence between claim amounts.
  • [hal-00412983] Estimation de probabilités de changement d'état en présence de données incomplètes et applications actuarielles
    2 septembre 2009
    Les expressions des probabilités de changement d'état, sont, que ce soit de manière explicite ou de manière implicite, largement utilisées dans l'élaboration de tarifs, de calculs de provisions et dans la mise au point de procédures de suivi de portefeuille. Elles sont notamment exploitées dans les secteurs de l'assurance vie et de la prévoyance (états de vie ou décès pour l'assurance vie, états d'actif, retraité, incapable, invalide, décédé, etc. en prévoyance). L'estimation de ces probabilités est un problème crucial dont va dépendre la fiabilité des calculs actuariels déduits. Cet article propose une estimation des probabilités de transition d'un processus de Markov non homogène, en présence de données incomplètes. Cette estimation se fait à l'aide d'une extension naturelle de l'estimateur de KAPLAN-MEIER [[8]], proposée originellement par AALEN [[1]]. En présence d'observations évoluant entre plusieurs états, on estime, en fonction du temps, les probabilités de passage d'un état à un autre. Les observations sont ici incomplètes, soit qu'un individu apparaisse dans un état donné à une date donnée sans qu'il ait été observé jusqu'alors (troncatures gauches), soit qu'il ne soit plus observé à partir d'un instant donné (censures droites). Une propriété intéressante du point de vue actuariel est donnée pour cet estimateur, qui fait également l'objet d'une application: un fichier est créé qui simule des changements d'état d'individus, partiellement observés, évoluant au cours du temps. L'estimation des probabilités de se trouver dans un état j ε à une date t , sachant que l'on était dans un état i ε à une date s est alors opérée. Des graphiques permettent enfin de constater la conformité des estimations aux lois qui ont généré le fichier. Quelques applications actuarielles sont également développées, illustrant les très nombreuses utilisations possibles de cet estimateur.
  • [hal-01292949] Polynomial approximations for bivariate aggregate claims amount probability distributions
    24 mars 2016
    A numerical method to compute bivariate probability distributions from their Laplace transforms is presented. The method consists in an orthogonal projection of the probability density function with respect to a probability measure that belongs to a Natural Exponential Family with Quadratic Variance Function (NEF-QVF). A particular link to Lancaster probabilities is highlighted. The procedure allows a quick and accurate calculation of probabilities of interest and does not require strong coding skills. Numerical illustrations and comparisons with other methods are provided. This work is motivated by actuarial applications. We aim at recovering the joint distribution of two aggregate claims amounts associated with two insurance policy portfolios that are closely related, and at computing survival functions for reinsurance losses in presence of two non-proportional reinsurance treaties.
  • [hal-02120870] Goodness-of-fit tests for compound distributions with applications in insurance
    30 juin 2022
    Goodness-of-fit procedures are provided to test the validity of compound models for the total claims, involving specific laws for the constituent components, namely the claim frequency distribution and the distribution of individual claim sizes. This is done without the need for observations on these two component variables. Goodness-of-fit tests that utilize the Laplace transform as well as classical tools based on the distribution function, are proposed and compared. These methods are validated by simulations and then applied to insurance data. MSC 2010: 60G55, 60G40, 12E10.
  • [hal-01304732] Routage et agrégation de données dans les réseaux de capteurs sans fil structurés en clusters auto-stabilisants
    20 avril 2016
    Dans cet article, nous menons une étude complète visant à proposer trois stratégies de routage, intégrant différents niveau d’agrégation, afin d’acheminer les données collectées dans les Réseaux de Capteurs Sans Fil (RCSF) structurés en clusters auto-stabilisants. Ces trois scénarios sont : (i) le Routage Sans Agrégation (RSA), (ii) le Routage avec Agrégation Partielle (RAP) et (iii) le Routage avec agrégation Totale (RAT). Ces derniers se fondent sur un schéma de clustering autostabilisant où est intégré un système d’agents coopératifs. Nous validons ces trois scénarios par simulation sous OMNeT++ en évaluant et comparant leurs performances en termes de délai de bout en bout, de consommation énergétique et de durée de vie du réseau. Les résultats de simulation montrent que le RSA minimise les délais de communication, le RAP réduit la consommation énergétique et le RAT prolonge la durée de vie des cluster-heads
  • [hal-01935756] Joint Law of an Ornstein-Uhlenbeck Process and its Supremum
    27 novembre 2018
    We propose an expression for the joint density / distribution function for the endpoint of an Ornstein-Uhlenbeck process and its supremum. This law is expressed as an expansion involving parabolic cylinder functions. We obtain this law faster than with a Monte Carol's method. Numerical applications illustrate the interest of this result.