H. Albrecher, H. Gerber, and H. Yang, Dividends and gerber-shiu functions : Canadized, 2010.

H. Albrecher and S. Asmussen, Ruin probabilities and aggregate claims distributions for shot noise Cox processes, Scand. Actuar. J, issue.2, pp.86-110, 2006.
DOI : 10.1080/03461230600630395
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.574.6831

H. Albrecher, S. Asmussen, and D. Kortschak, Tail asymptotics for the sum of two heavy-tailed dependent risks, Extremes, vol.33, issue.1, pp.107-130, 2006.
DOI : 10.1007/s10687-006-0011-1

H. Albrecher, A. Badescu, and D. Landriault, On the dual risk model with tax payments, Insurance: Mathematics and Economics, vol.42, issue.3, pp.1086-1094, 2008.
DOI : 10.1016/j.insmatheco.2008.02.001

H. Albrecher, S. Borst, O. Boxma, and J. Resing, The tax identity in risk theory ??? a simple proof and an extension, Insurance: Mathematics and Economics, vol.44, issue.2, pp.304-306, 2009.
DOI : 10.1016/j.insmatheco.2008.05.001

H. Albrecher and O. J. Boxma, A ruin model with dependence between claim sizes and claim intervals, Insurance: Mathematics and Economics, vol.35, issue.2, pp.245-254, 2004.
DOI : 10.1016/j.insmatheco.2003.09.009

H. Albrecher, C. Constantinescu, G. Pirsic, G. Regensburger, and M. Rosenkranz, An algebraic operator approach to the analysis of Gerber???Shiu functions, Insurance: Mathematics and Economics, vol.46, issue.1, pp.42-51, 2010.
DOI : 10.1016/j.insmatheco.2009.02.002

H. Albrecher and C. Hipp, Lundberg???s risk process with tax, Bl??tter der DGVFM, vol.34, issue.1, pp.13-28, 2007.
DOI : 10.1007/s11857-007-0004-4
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.573.9955

H. Albrecher, J. Renaud, and X. Zhou, A L??vy Insurance Risk Process with Tax, Journal of Applied Probability, vol.8, issue.02, pp.363-375, 2008.
DOI : 10.1239/aap/999187908

H. Albrecher and J. L. Teugels, Exponential Behavior in the Presence of Dependence in Risk Theory, Journal of Applied Probability, vol.2, issue.01, pp.257-273, 2006.
DOI : 10.1239/jap/996986647

S. Rohana and . Ambagaspitiya, Ultimate ruin probability in the Sparre Andersen model with dependent claim sizes and claim occurrence times, Insurance : Mathematics and Economics, vol.44, issue.3, pp.464-472, 2009.

P. Artzner, F. Delbaen, J. Eber, and D. Heath, Coherent Measures of Risk, Mathematical Finance, vol.9, issue.3, pp.203-228, 1999.
DOI : 10.1111/1467-9965.00068

S. Asmussen, Risk theory in a Markovian environment, Scand. Actuar. J, issue.2, pp.69-100, 1989.

S. Asmussen, On the ruin problem for some adapted premium rules, 1999.

S. Asmussen, Ruin probabilities, volume 2 of Advanced Series on Statistical Science & Applied Probability, 2000.

S. Asmussen and H. Albrecher, Ruin probabilities, Advanced Series on Statistical Science & Applied Probability, vol.14
URL : https://hal.archives-ouvertes.fr/hal-00569254

S. Asmussen, F. Avram, and M. R. Pistorius, Russian and American put options under exponential phase-type Lévy models. Stochastic Process, Appl, vol.109, issue.1, pp.79-111, 2004.

S. Asmussen, F. Avram, and M. Usabel, Abstract, ASTIN Bulletin, vol.25, issue.02, pp.267-281, 2002.
DOI : 10.2143/AST.24.2.2005068

S. Asmussen, B. Højgaard, and M. Taksar, Optimal risk control and dividend distribution policies. Example of excess-of loss reinsurance for an insurance corporation, Finance and Stochastics, vol.4, issue.3, pp.299-324, 2000.
DOI : 10.1007/s007800050075

S. Asmussen and O. Kella, A multi-dimensional martingale for Markov additive processes and its applications, Advances in Applied Probability, vol.23, issue.02, pp.376-393, 2000.
DOI : 10.2307/3214994

J. Aubin, Mathematical methods of game and economic theory, 1979.

F. Avram, N. Leonenko, and L. Rabehasaina, Series Expansions for the First Passage Distribution of Wong???Pearson Jump-Diffusions, Stochastic Analysis and Applications, vol.25, issue.4, pp.770-796, 2009.
DOI : 10.1090/S0273-0979-07-01175-5
URL : https://hal.archives-ouvertes.fr/hal-00488316

F. Avram, Z. Palmowski, and M. Pistorius, A two-dimensional ruin problem on the positive quadrant, Insurance: Mathematics and Economics, vol.42, issue.1, pp.227-234, 2008.
DOI : 10.1016/j.insmatheco.2007.02.004
URL : https://hal.archives-ouvertes.fr/hal-00264361

F. Avram, Z. Palmowski, and M. R. Pistorius, Exit problem of a two-dimensional risk process from the quadrant: Exact and asymptotic results, The Annals of Applied Probability, vol.18, issue.6, pp.2421-2449, 2008.
DOI : 10.1214/08-AAP529
URL : https://hal.archives-ouvertes.fr/hal-00264360

A. R. Bacinello, Endogenous model of surrender conditions in equity-linked life insurance, Insurance: Mathematics and Economics, vol.37, issue.2, pp.270-296, 2005.
DOI : 10.1016/j.insmatheco.2005.02.002

A. L. Badescu, E. C. Cheung, and D. Landriault, Dependent risk models with bivariate phase-type distributions, Journal of Applied Probability, vol.46, issue.1, pp.113-131, 2009.
DOI : 10.1239/jap/1238592120

P. Barbe, A. Fougères, and C. Genest, On the Tail Behavior of Sums of Dependent Risks, ASTIN Bulletin, vol.2, issue.02, pp.361-373, 2006.
DOI : 10.1016/0167-7152(89)90123-5
URL : https://hal.archives-ouvertes.fr/hal-00097051

M. Bargès, S. Héì-ene-cossette, E. Loisel, and . Marceau, On the Moments of the Aggregate Discounted Claims with Dependence Introduced by a FGM Copula

M. Bargès, S. Loisel, and X. Venel, On finite-time ruin probabilities with reinsurance cycles influenced by large claims, Scandinavian Actuarial Journal, vol.30, issue.1, 2010.
DOI : 10.2143/AST.33.1.1040

P. Barrieu, H. Bensusan, N. Karoui, C. Hillairet, S. Loisel et al., Understanding, modelling and managing longevity risk: key issues and main challenges, Scandinavian Actuarial Journal, vol.8, issue.2, 2010.
DOI : 10.1007/s00285-008-0202-2
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.394.6812

P. Barrieu and N. E. Karoui, Optimal derivatives design under dynamic risk measures, Mathematics of finance, pp.13-25, 2004.
DOI : 10.1090/conm/351/06389
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.10.9667

J. Beirlant, Y. Goegebeur, J. Teugels, and J. Segers, Statistics of Extremes Theory and Applications, Series in Probability and Statistics, 2004.

G. Benmenzer, E. Gobet, and C. Jerusalem, Arbitrage free co-integrated models in gas and oil future markets. preprint, 2007.

H. Bensusan and N. E. Karoui, Microscopic modelling of population dynamics : an analysis of longevity risk, 2010.

R. Biard, C. Lefèvre, S. Loisel, and H. Nagaraja, Asymptotic finite-time ruin probabilities for a class of path-dependent heavy-tailed claim amounts using Poisson spacings, Applied Stochastic Models in Business and Industry, 2010.
DOI : 10.1002/asmb.857
URL : https://hal.archives-ouvertes.fr/hal-00409418

R. Biard, S. Loisel, C. Macci, and N. Veraverbeke, Asymptotic behavior of the finite-time expected time-integrated negative part of some risk processes and optimal reserve allocation, Journal of Mathematical Analysis and Applications, vol.367, issue.2, pp.535-549, 2010.
DOI : 10.1016/j.jmaa.2010.01.051
URL : https://hal.archives-ouvertes.fr/hal-00372525

R. Biard, Dépendance etévénementsetévénements extrêmes en théorie de la ruine : ´ etude univariée et multivariée,probì emes d'allocation optimale, 2010.

R. Biard, C. Lefèvre, and S. Loisel, Impact of correlation crises in risk theory: Asymptotics of finite-time ruin probabilities for heavy-tailed claim amounts when some independence and stationarity assumptions are relaxed, Insurance: Mathematics and Economics, vol.43, issue.3, pp.412-421, 2008.
DOI : 10.1016/j.insmatheco.2008.08.004
URL : https://hal.archives-ouvertes.fr/hal-00308782

M. Boudreault, D. Héì-ene-cossette, E. Landriault, and . Marceau, On a risk model with dependence between interclaim arrivals and claim sizes, Scandinavian Actuarial Journal, vol.9, issue.5, pp.265-285, 2006.
DOI : 10.1002/9780470317044

H. Bühlmann, Experience Rating and Credibility, ASTIN Bulletin, vol.4, issue.03, pp.199-207, 1967.
DOI : 10.1017/S0515036100008989

H. Bühlmann, Experience rating and credibility, ASTIN Bulletin, vol.37, issue.02, pp.157-165, 1969.
DOI : 10.1017/S0515036100008023

J. Cai and H. Li, Dependence properties and bounds for ruin probabilities in multivariate compound risk models, Journal of Multivariate Analysis, vol.98, issue.4, pp.757-773, 2007.
DOI : 10.1016/j.jmva.2006.06.004

A. J. Cairns, D. Blake, and K. Dowd, A Two-Factor Model for Stochastic Mortality with Parameter Uncertainty: Theory and Calibration, Journal of Risk & Insurance, vol.10, issue.4, pp.687-718, 2006.
DOI : 10.2143/AST.33.1.1039

A. Eric, . Carlen, and . Pardoux, Differential calculus and integration by parts on Poisson space, Stochastics, algebra and analysis in classical and quantum dynamics, pp.63-73, 1988.

F. Castella, G. Dujardin, and B. Sericola, Moments??? Analysis in Homogeneous Markov Reward Models, Methodology and Computing in Applied Probability, vol.386, issue.4, pp.583-601, 2009.
DOI : 10.1007/s11009-008-9075-5
URL : https://hal.archives-ouvertes.fr/hal-00455136

P. Cenac, M. Véronique, and C. Prieur, Some multivariate risk indicators ; minimization by using a Kiefer-Wolfowitz approach to the mirror stochastic algorithm. submitted, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00484233

M. Chauvigny and L. Devineau, Stéphane Loisel, and Véronique Maume-Deschamps. Accelerating nested simulations in solvency ii : theory and practice in a copula and distribution-free framework, 2010.

S. G. Coles, An introduction to statistical modelling of extreme values, 2001.

F. Jeffrey and . Collamore, First passage times of general sequences of random vectors : a large deviations approach. Stochastic Process, Appl, vol.78, issue.1, pp.97-130, 1998.

C. Courbage, On bivariate risk premia, Theory and Decision, vol.50, issue.1, pp.29-34, 2001.
DOI : 10.1023/A:1005213530647

C. Courtois, M. Denuit, and S. Van-bellegem, Discrete <mml:math altimg="si37.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>s</mml:mi></mml:math>-convex extremal distributions: Theory and applications, Applied Mathematics Letters, vol.19, issue.12, pp.1367-1377, 2006.
DOI : 10.1016/j.aml.2006.02.006

D. R. Cox, Renewal Theory, 1972.

F. Bruno-de, Su un impostazione alternativa della teoria collectiva del rischio, Transactions of the XV International Congress of Actuaries, pp.433-443, 1957.

L. De-haan, A Spectral Representation for Max-stable Processes, The Annals of Probability, vol.12, issue.4, pp.1194-1204, 1984.
DOI : 10.1214/aop/1176993148

L. De-haan and T. T. Pereira, Spatial extremes: Models for the stationary case, The Annals of Statistics, vol.34, issue.1, pp.146-168, 2006.
DOI : 10.1214/009053605000000886

F. Vylder, Numerical finite-time ruin probabilities by the Picard- Lefèvre formula, Scand. Actuar. J, issue.2, pp.97-105, 1999.

F. E. De and . Vylder, Advanced Risk Theory. A Self-Contained Introduction. Editions de l'Université Libre de Bruxelles -Swiss Association of Actuaries, 1996.

P. Del and M. , Feynman-Kac formulae. Probability and its Applications, Genealogical and interacting particle systems with applications, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00426415

F. Delbaen, Coherent Risk Measures on General Probability Spaces, Advances in finance and stochastics, pp.1-37, 2002.
DOI : 10.1007/978-3-662-04790-3_1
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.27.7119

S. Demarta, Multivariate Extreme Value Theory and Copulas, 2002.

M. Denault, Coherent allocation of risk capital, The Journal of Risk, vol.4, issue.1, pp.7-21, 2001.
DOI : 10.21314/JOR.2001.053

M. Denuit, C. Genest, and . Marceau, Stochastic bounds on sums of dependent risks, Insurance: Mathematics and Economics, vol.25, issue.1, pp.85-104, 1999.
DOI : 10.1016/S0167-6687(99)00027-X

M. Denuit and A. Delwaerde, Construction de tables de mortalité périodiques et prospectives, 2005.

M. Denuit and C. Lefèvre, Some new classes of stochastic order relations among arithmetic random variables, with applications in actuarial sciences, Insurance: Mathematics and Economics, vol.20, issue.3, pp.197-213, 1997.
DOI : 10.1016/S0167-6687(97)00010-3

M. Denuit, C. Lefèvre, and M. Mesfioui, On s-convex stochastic extrema for arithmetic risks, Insurance: Mathematics and Economics, vol.25, issue.2, pp.143-155, 1999.
DOI : 10.1016/S0167-6687(99)00030-X

M. Denuit, C. Lefevre, and M. Shaked, The s-convex orders among real random variables, with applications, Mathematical Inequalities & Applications, vol.1, issue.4, pp.585-613, 1998.
DOI : 10.7153/mia-01-56

M. Denuit, C. Lefèvre, and S. Utev, Stochastic Orderings of Convex/Concave-Type on an Arbitrary Grid, Mathematics of Operations Research, vol.24, issue.4, pp.835-846, 1999.
DOI : 10.1287/moor.24.4.835

M. Denuit, E. D. Vylder, and C. Lefèvre, Extremal generators and extremal distributions for the continuous s-convex stochastic orderings, Insurance: Mathematics and Economics, vol.24, issue.3, pp.201-217, 1999.
DOI : 10.1016/S0167-6687(98)00053-5

L. Devineau and S. Loisel, Construction d'un algorithme d'accélération de la méthode des simulations dans les simulations pour le calcul du capitaí economique solvabilité ii, Bulletin Français d'Actuariat, vol.10, issue.17, pp.188-221, 2009.

L. Devineau and S. Loisel, Risk aggregation in solvency ii : How to converge the approaches of the internal models and those of the standard formula ? Bulletin Français, pp.107-145, 2009.

A. Egídio and D. Reis, How long is the surplus below zero ? Insurance Math, Econom, vol.12, issue.1, pp.23-38, 1993.

A. Egídio and D. Reis, On the moments of ruin and recovery times, Insurance: Mathematics and Economics, vol.27, issue.3, pp.331-343, 2000.
DOI : 10.1016/S0167-6687(00)00056-1

F. Dufresne and H. U. Gerber, The surpluses immediately before and at ruin, and the amount of the claim causing ruin, Insurance: Mathematics and Economics, vol.7, issue.3, pp.193-199, 1988.
DOI : 10.1016/0167-6687(88)90076-5

P. Embrechts, C. Klüppelberg, and T. Mikosch, Modelling of extremal events in insurance and finance, ZOR Zeitschrift f???r Operations Research Mathematical Methods of Operations Research, vol.73, issue.1, 1997.
DOI : 10.1007/BF01440733

P. Embrechts and N. Veraverbeke, Estimates for the probability of ruin with special emphasis on the possibility of large claims, Insurance: Mathematics and Economics, vol.1, issue.1, pp.55-72, 1982.
DOI : 10.1016/0167-6687(82)90021-X

I. Finkelshtain, O. Kella, and M. Scarsini, On risk aversion with two risks, Journal of Mathematical Economics, vol.31, issue.2, pp.239-250, 1999.
DOI : 10.1016/S0304-4068(97)00058-X
URL : https://hal.archives-ouvertes.fr/hal-00540256

C. Peter, I. H. Fishburn, and . Lavalle, Stochastic dominance on unidimensional grids, Math. Oper. Res, vol.20, issue.3, pp.513-525, 1995.

W. Fisher, S. Loisel, and S. Wang, On some key research issues in enterprise risk management related to economic capital and diversification effect at group level, Bulletin Français d'Actuariat, vol.8, issue.15, pp.32-37, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00268841

E. Frostig, The expected time to ruin in a risk process with constant barrier via martingales, Insurance: Mathematics and Economics, vol.37, issue.2
DOI : 10.1016/j.insmatheco.2004.11.003

E. Frostig, Upper bounds on the expected time to ruin and on the expected recovery time, Advances in Applied Probability, vol.46, issue.02, pp.377-397, 2004.
DOI : 10.1214/aop/1176989805

D. Fum, D. Missier, and A. Stocco, The cognitive modeling of human behavior: Why a model is (sometimes) better than 10,000 words, Cognitive Systems Research, vol.8, issue.3, pp.135-142, 2007.
DOI : 10.1016/j.cogsys.2007.07.001

U. Hans and . Gerber, An introduction to mathematical risk theory, volume 8 of S.S. Heubner Foundation Monograph Series. University of Pennsylvania Wharton School S.S. Huebner Foundation for Insurance Education, 1979.

U. Hans and . Gerber, Ruin theory in the linear model, Insurance Math. Econom, vol.1, issue.3, pp.177-184, 1982.

U. Hans and . Gerber, Mathematical fun with ruin theory, Insurance Math. Econom, vol.7, issue.1, pp.15-23, 1988.

U. Hans, B. Gerber, and . Landry, On the discounted penalty at ruin in a jump-diffusion and the perpetual put option, Insurance Math. Econom, vol.22, issue.3, pp.263-276, 1998.

U. Hans, E. S. Gerber, and . Shiu, On the time value of ruin, North American Actuarial Journal, vol.2, issue.1, pp.48-78, 1998.

U. Hans, E. S. Gerber, and . Shiu, Pricing perpetual options for jump processes, N. Am. Actuar. J, vol.2, issue.3, pp.101-112, 1998.

P. Glasserman, Monte Carlo methods in financial engineering, Applications of Mathematics, vol.53, 2004.
DOI : 10.1007/978-0-387-21617-1

R. Kaas, A. E. Van-heerwaarden, T. Bauwelinckx, and M. J. Goovaerts, Effective Actuarial Methods, 1990.

M. Goovaerts, R. Kaas, J. Dhaene, and M. Denuit, Modern Actuarial Risk Theory. Kluwer Academic, The Netherlands, 2001.

M. Gordy and S. Juneja, Nested simulation in portfolio risk measurement. Finance and Economics Discussion Series, Divisions of Research, Statistics and Monetary Affairs, 2008.

K. Goubanova and L. Li, Extremes in temperature and precipitation around the Mediterranean basin in an ensemble of future climate scenario simulations, Global and Planetary Change, vol.57, issue.1-2, p.80, 2006.
DOI : 10.1016/j.gloplacha.2006.11.012

J. Grandell, Aspects of risk theory Springer Series in Statistics : Probability and its Applications, 1991.

F. Hampel, The Influence Curve and its Role in Robust Estimation, Journal of the American Statistical Association, vol.15, issue.4, pp.383-393, 1974.
DOI : 10.1214/aoms/1177730385

E. M. Ronchetti, P. J. Rousseeuw, W. A. Stahel, and F. Hampel, Robust Statistics. The Approach Based on Influence Functions, 1986.

C. Heyde, X. Kou, and . Peng, What Is a Good Risk Measure : Bridging the Gaps between Data, Coherent Risk Measures, and Insurance Risk Measures, 2006.

W. Hoeffding, The Extrema of the Expected Value of a Function of Independent Random Variables, The Annals of Mathematical Statistics, vol.26, issue.2, pp.268-275, 1955.
DOI : 10.1214/aoms/1177728543

P. J. Huber, Robust Statistics, 1981.
DOI : 10.1002/0471725250

H. Hult and F. Lindskog, Heavy-tailed insurance protfolios : buffer capital and ruin probabilities, 2006.

W. Hürlimann, Extremal moment methods and stochastic orders. applications in actuarial sciences. Monograph, 1999.

G. Zvetan, V. K. Ignatov, R. S. Kaishev, and . Krachunov, An improved finite-time ruin probability formula and its Mathematica implementation, Insurance Math. Econom, vol.29, issue.3, pp.375-386, 2000.

K. Jansen, J. Haezendonck, and M. J. Goovaerts, Upper bounds on stop-loss premiums in case of known moments up to the fourth order, Insurance: Mathematics and Economics, vol.5, issue.4, pp.315-334, 1986.
DOI : 10.1016/0167-6687(86)90027-2

E. Jouini, M. Meddeb, and N. Touzi, Vector-valued measures of risk, Finance and Stochastics, 2005.

R. Kaas, A. E. Van-heerwaarden, and M. J. Goovaerts, Ordering of actuarial risks, CAIRE, 1994.

S. Karlin and W. J. Studden, Tchebycheff systems : With applications in analysis and statistics, Pure and Applied Mathematics, 1966.

J. H. Kemperman, The General Moment Problem, A Geometric Approach, The Annals of Mathematical Statistics, vol.39, issue.1, pp.93-122, 1968.
DOI : 10.1214/aoms/1177698508

V. V. Kharin, F. W. Zwiers, X. Zhang, and G. C. Hegerl, Changes in Temperature and Precipitation Extremes in the IPCC Ensemble of Global Coupled Model Simulations, Journal of Climate, vol.20, issue.8, pp.1419-1444, 2007.
DOI : 10.1175/JCLI4066.1

C. N. Kim, K. H. Yang, and J. Kim, Human decision-making behavior and modeling effects, Decision Support Systems, vol.45, issue.3, pp.517-527, 2008.
DOI : 10.1016/j.dss.2007.06.011
URL : http://elibrary.aisnet.org/Default.aspx?url=http://aisel.aisnet.org/cgi/viewcontent.cgi?article=1075&context=pacis2006

D. Kortschak and H. Albrecher, Asymptotic Results for the Sum of Dependent Non-identically Distributed Random Variables, Methodology and Computing in Applied Probability, vol.11, issue.1, pp.279-306, 2009.
DOI : 10.1007/s11009-007-9053-3

D. Lazar and M. M. Denuit, A multivariate time series approach to projected life tables. Applied Stochastic Models in Business and Industry, 2009.
DOI : 10.1002/asmb.781

C. Lefèvre and P. Picard, An unusual stochastic order relation with some applications in sampling and epidemic theory, Advances in Applied Probability, vol.43, issue.01, pp.63-81, 1993.
DOI : 10.1016/0025-5564(89)90049-7

C. Lefèvre and S. Loisel, On finite-time ruin probabilities for classical risk models, Scandinavian Actuarial Journal, vol.7, issue.1, pp.41-60, 2008.
DOI : 10.1016/j.jspi.2003.05.003

C. Lefèvre and S. Loisel, Finite-Time Ruin Probabilities for Discrete, Possibly Dependent, Claim Severities, Methodology and Computing in Applied Probability, vol.7, issue.3, pp.425-441, 2009.
DOI : 10.1007/s11009-009-9123-9

C. Lefèvre and S. Utev, Comparing sums of exchangeable Bernoulli random variables, Journal of Applied Probability, vol.7, issue.02, pp.285-310, 1996.
DOI : 10.1017/S0001867800025179

C. Lefèvre and S. Loisel, Stationary-excess operator and convex stochastic orders, Insurance: Mathematics and Economics, vol.47, issue.1, pp.64-75, 2010.
DOI : 10.1016/j.insmatheco.2010.03.009

C. Levi and C. Partrat, Abstract, ASTIN Bulletin, vol.LXVII, issue.02, pp.253-276, 1991.
DOI : 10.2307/1401552

H. Levy, Stochastic Dominance and Expected Utility: Survey and Analysis, Management Science, vol.38, issue.4, pp.555-593, 1992.
DOI : 10.1287/mnsc.38.4.555

X. S. Lin and G. E. Willmot, Exact and approximate properties of the distribution of surplus before and after ruin, Insurance Math. Econom, vol.23, issue.1, pp.91-110, 1998.

X. S. Lin and G. E. Willmot, The moments of the time of ruin, the surplus before ruin, and the deficit at ruin, Insurance: Mathematics and Economics, vol.27, issue.1, pp.19-44, 2000.
DOI : 10.1016/S0167-6687(00)00038-X

F. Lindskog and A. J. Mcneil, Common Poisson Shock Models: Applications to Insurance and Credit Risk Modelling, ASTIN Bulletin, vol.L, issue.02, pp.209-238, 2003.
DOI : 10.1006/jmva.2000.1906

S. Loisel, Differentiation of some functionals of risk processes, and optimal reserve allocation, Journal of Applied Probability, vol.42, issue.02, pp.379-392, 2005.
DOI : 10.1016/0167-6687(88)90076-5
URL : https://hal.archives-ouvertes.fr/hal-00397287

S. Loisel, Differentiation of some functionals of risk processes, and optimal reserve allocation, Journal of Applied Probability, vol.42, issue.02, pp.379-392, 2005.
DOI : 10.1016/0167-6687(88)90076-5
URL : https://hal.archives-ouvertes.fr/hal-00397287

S. Loisel, P. Arnal, and R. Durand, Correlation crises in insurance and finance, and the need for dynamic risk maps in ORSA, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00502848

S. Loisel, C. Mazza, and D. Ere, Robustness analysis and convergence of empirical finite-time ruin probabilities and estimation risk solvency margin, Insurance: Mathematics and Economics, vol.42, issue.2, pp.746-762, 2008.
DOI : 10.1016/j.insmatheco.2007.08.007
URL : https://hal.archives-ouvertes.fr/hal-00168714

S. Loisel, C. Mazza, and D. Ere, Convergence and asymptotic variance of bootstrapped finite-time ruin probabilities with partly shifted risk processes, Insurance: Mathematics and Economics, vol.45, issue.3, pp.374-381, 2009.
DOI : 10.1016/j.insmatheco.2009.08.003
URL : https://hal.archives-ouvertes.fr/hal-00397269

S. Loisel and X. Milhaud, From deterministic to stochastic surrender risk models: Impact of correlation crises on economic capital, European Journal of Operational Research, vol.214, issue.2, 2010.
DOI : 10.1016/j.ejor.2011.04.038
URL : https://hal.archives-ouvertes.fr/hal-00502847

S. Loisel and N. Privault, Sensitivity analysis and density estimation for finite-time ruin probabilities, Journal of Computational and Applied Mathematics, vol.230, issue.1, pp.107-120, 2009.
DOI : 10.1016/j.cam.2008.10.066
URL : https://hal.archives-ouvertes.fr/hal-00201347

S. Loisel, ContributionàContributionà l'´ etude de processus univariés et multivariés de la théorie de la ruine, 2004.

S. Loisel, Ruin theory with k lines of business, Proceedings of the 3rd Actuarial and Financial Day, pp.4-24, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00379417

S. Loisel, Time to ruin, insolvency penalties and dividends in a markov-modulated multirisk model with common shocks, Bulletin Français d'Actuariat, vol.8, issue.14, pp.4-24, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00165776

S. Loisel, From liquidity crisis to correlation crisis, and the need for " quanls " in erm. in Risk Management : The Current Financial Crisis, Lessons Learned and Future Implications, pp.75-78, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00379422

E. Marceau and J. Rioux, On robustness in risk theory, Insurance: Mathematics and Economics, vol.29, issue.2, pp.167-185, 2001.
DOI : 10.1016/S0167-6687(01)00081-6

E. Marceau, Modélisation etévaluationetévaluation des risques en actuariat, 2010.
DOI : 10.1007/978-2-8178-0112-4

A. J. Mcneil, R. Frey, and P. Embrechts, Quantitative Risk Management. Princeton Series In Finance, 2005.

Q. Meng, X. Zhang, and J. Guo, On a risk model with dependence between claim sizes and claim intervals, Statistics & Probability Letters, vol.78, issue.13, pp.1727-1734, 2008.
DOI : 10.1016/j.spl.2008.01.031

G. G. Meyers, Estimating Between Line Correlations Generated by Parameter Uncertainty, CAS Forum, 1999.

T. Mikosch and G. Samorodnitsky, The supremum of a negative drift random walk with dependent heavy-tailed steps, The Annals of Applied Probability, vol.10, issue.3, pp.1025-1064, 2000.
DOI : 10.1214/aoap/1019487517

X. Milhaud, M. Gonon, and S. Loisel, Les comportements de rachat en Assurance Vie en régime decroisì ere et en période de crise, Risques, vol.83, pp.76-81, 2010.

X. Milhaud, S. Loisel, and V. Deschamps, Surrender triggers in life insurance : classification and risk predictions, 2010.
URL : https://hal.archives-ouvertes.fr/inria-00509874

A. Müller and D. Stoyan, Comparison methods for stochastic models and risks. Wiley Series in Probability and Statistics, 2002.

R. B. Nelsen, An Introduction to Copulas, 2006.
DOI : 10.1007/978-1-4757-3076-0

J. Nolan, Multivariate stable densities and distribution functions : general and elliptical case, Proceedings of the Deutsche Bundesbank's 2005 Annual Fall Conference, 2005.

D. Nualart, Analysis on Wiener space and anticipating stochastic calculus, Lecture Notes in Math, vol.1690, pp.123-227, 1995.
DOI : 10.1007/BFb0092538

H. Nyrhinen, Rough limit results for level-crossing probabilities, Journal of Applied Probability, vol.2, issue.02, pp.373-382, 1994.
DOI : 10.1214/aop/1176993370

B. Oksendal and A. Sulem, Optimal Stochastic Impulse Control with Delayed Reaction, Applied Mathematics and Optimization, vol.8, issue.2, pp.243-255, 2008.
DOI : 10.1007/s00245-007-9034-5

S. A. Padoan, M. Ribatet, and S. A. Sisson, Likelihood-Based Inference for Max-Stable Processes, Journal of the American Statistical Association, vol.105, issue.489, 2009.
DOI : 10.1198/jasa.2009.tm08577
URL : https://hal.archives-ouvertes.fr/hal-00361245

X. Pan, C. S. Han, K. H. Dauber, and . Law, Human and social behavior in computational modeling and analysis of egress, Automation in Construction, vol.15, issue.4, pp.448-461, 2006.
DOI : 10.1016/j.autcon.2005.06.006

H. H. Panjer, Measurement of risk, solvency requirements and allocation of capital within financial conglomerates, 2001.

H. H. Panjer and J. Jing, Solvency and capital allocation, 2001.

P. Picard, On some measures of the severity of ruin in the classical Poisson model, Insurance: Mathematics and Economics, vol.14, issue.2, pp.107-115, 1994.
DOI : 10.1016/0167-6687(94)00006-9

P. Picard and C. Lefèvre, The probability of ruin in finite time with discrete claim size distribution, Scandinavian Actuarial Journal, vol.1, issue.1, pp.58-69, 1997.
DOI : 10.1214/aoms/1177705056

P. Picard, C. Lefèvre, and I. Coulibaly, Multirisks model and finite-time ruin probabilities, Methodology And Computing In Applied Probability, vol.5, issue.3, pp.337-353, 2003.
DOI : 10.1023/A:1026287204089

D. Pommeret, Orthogonal and pseudo-orthogonal multi-dimensional Appell polynomials, Applied Mathematics and Computation, vol.117, issue.2-3, pp.285-299, 2001.
DOI : 10.1016/S0096-3003(99)00181-2

A. Prékopa, The discrete moment problem and linear programming, Discrete Applied Mathematics, vol.27, issue.3, pp.235-254, 1990.
DOI : 10.1016/0166-218X(90)90068-N

N. Privault, Chaotic and variational calculus in discrete and continuous time for the poisson process, Stochastics and Stochastic Reports, vol.70, issue.1-2, pp.83-109, 1994.
DOI : 10.1080/17442509408833946

N. Privault and X. Wei, A Malliavin calculus approach to sensitivity analysis in insurance, Insurance: Mathematics and Economics, vol.35, issue.3, pp.679-690, 2004.
DOI : 10.1016/j.insmatheco.2004.08.003

S. and D. Promislow, The probability of ruin in a process with dependent increments, Insurance: Mathematics and Economics, vol.10, issue.2, pp.99-107, 1991.
DOI : 10.1016/0167-6687(91)90003-G

B. Rey, Total and partial Bivariate Risk Premia: An Extension, Theory and Decision, vol.55, issue.1, pp.59-69, 2003.
DOI : 10.1023/B:THEO.0000019078.87122.ce

T. Rolski, Order relations in the set of distribution functions and their applications in queueing theory, Dissertations Math. CXXXII, Polish Academy of Sciences, 1976.

T. Rolski, H. Schmidli, V. Schmidt, and J. Teugels, Stochastic processes for insurance and finance. Wiley Series in Probability and Statistics, 1999.

M. Sheldon and . Ross, Stochastic processes Wiley Series in Probability and Statistics : Probability and Statistics, 1996.

S. Didierrullì-ere and . Loisel, Another look at the Picard-Lefèvre formula for finite-time ruin probabilities, Insurance Math. Econom, vol.35, issue.2, pp.187-203, 2004.

S. Didierrullì-ere and . Loisel, The win-first probability under interest force, Insurance Math. Econom, vol.37, issue.3, pp.421-442, 2005.

T. Rydén, Parameter estimation for Markov modulated poisson processes, Communications in Statistics. Stochastic Models, vol.73, issue.4, pp.795-829, 1994.
DOI : 10.1109/TPAMI.1984.4767581

T. Rydén, An EM algorithm for estimation in Markov-modulated Poisson processes, Computational Statistics & Data Analysis, vol.21, issue.4, pp.431-447, 1996.
DOI : 10.1016/0167-9473(95)00025-9

Y. Salhi and S. Loisel, Joint modeling of portfolio experienced and national mortality : a co-integration based approach, 2010.

G. Salvadori, C. De-michele, N. T. Kottegoda, and R. Rosso, Extremes in nature . an approach using copulas. volume 56 of Water Science and Technology Library Series

M. Schlather, Models for stationary max-stable random fields, Extremes, vol.5, issue.1, pp.33-44, 2002.
DOI : 10.1023/A:1020977924878

H. L. Seal, Stochastic Theory of a Risky Business, p.84, 1969.

M. Shaked and J. G. Shanthikumar, Stochastic orders and their applications . Probability and Mathematical Statistics, 1994.

M. Shaked and J. G. Shanthikumar, Stochastic orders. Springer Series in Statistics, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00539122

S. Tak-kuen, Fair valuation of participating policies with surrender options and regime switching, Insurance Math. Econom, vol.37, issue.3, pp.533-552, 2005.

R. L. Smith, Max-stable processes and spatial extremes. Unpublished manuscript, 1990.

U. Sumita and Y. Masuda, Analysis of multivariate Markov modulated Poisson processes, Operations Research Letters, vol.12, issue.1, pp.37-45, 1992.
DOI : 10.1016/0167-6377(92)90020-4

B. Sundt, Abstract, ASTIN Bulletin, vol.6, issue.02, pp.305-308, 2000.
DOI : 10.1016/0304-4149(78)90056-X

L. Takács, A generalization of the ballot problem and its application in the theory of queues, J. Amer. Statist. Assoc, vol.57, pp.327-337, 1962.

J. Trufin and S. Loisel, Ultimate ruin probability in discrete time with Bühlmann credibility premium adjustments

C. Tsai, W. Kuo, and W. Chen, Early surrender and the distribution of policy reserves, Insurance: Mathematics and Economics, vol.31, issue.3, pp.429-445, 2002.
DOI : 10.1016/S0167-6687(02)00188-9

A. Tsanakas and C. Barnett, Risk capital allocation and cooperative pricing of insurance liabilities, Insurance: Mathematics and Economics, vol.33, issue.2, pp.239-254, 2003.
DOI : 10.1016/S0167-6687(03)00137-9

S. A. Utev, Extremal problems in moment inequalities In Limit theorems of probability theory, Trudy Inst. Mat. Nauka " Sibirsk. Otdel, vol.5, issue.175, pp.56-75, 1985.

N. Vandaele and M. Vanmaele, Explicit portfolio for unit-linked life insurance contracts with surrender option, Journal of Computational and Applied Mathematics, vol.233, issue.1, pp.16-26, 2009.
DOI : 10.1016/j.cam.2008.04.031

W. Whitt, The renewal-process stationary-excess operator, Journal of Applied Probability, vol.3, issue.01, pp.156-167, 1985.
DOI : 10.1002/j.1538-7305.1983.tb03526.x