Higher-order expansions for compound distributions and ruin probabilities with subexponential claims, Scandinavian Actuarial Journal, vol.41, issue.2, pp.105-135, 2010. ,
DOI : 10.1007/BF01193324
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.576.8063
Diversification of aggregate dependent risks, Insurance: Mathematics and Economics, vol.35, issue.1, pp.77-95, 2004. ,
DOI : 10.1016/j.insmatheco.2004.05.001
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
A characterization of multivariate regular variation, The Annals of Applied Probability, vol.12, issue.3, pp.908-920, 2002. ,
DOI : 10.1214/aoap/1031863174
Regular variation, volume 27 of Encyclopedia of Mathematics and its Applications, 1989. ,
Support Theorems for the Radon Transform and Cram??r-Wold Theorems, Journal of Theoretical Probability, vol.18, issue.3, pp.683-710, 2009. ,
DOI : 10.1007/s10959-008-0151-0
URL : http://arxiv.org/abs/0802.4373
Risk Aggregation, Dependence Structure and Diversification Benefit, Stress testing for financial institutions, pp.265-306, 2008. ,
DOI : 10.2139/ssrn.1468526
Explicit Diversification Benefit for Dependent Risks, SSRN Electronic Journal ,
DOI : 10.2139/ssrn.2716093
URL : https://hal.archives-ouvertes.fr/hal-01256869
Models with hidden regular variation: Generation and detection, Stochastic Systems, vol.5, issue.2, pp.195-238 ,
DOI : 10.1214/14-SSY141
URL : https://doaj.org/article/c2a3417e805b42f98ca663a65f2dd443
On regular variation and its applications to the weak convergence of sample extremes, Mathematical Centre Tracts, vol.32, 1970. ,
Extreme Value Theory: An Introduction, 2006. ,
DOI : 10.1007/0-387-34471-3
Estimating the limit distribution of multivariate extremes, Communications in Statistics. Stochastic Models, vol.23, issue.2, pp.275-309, 1993. ,
DOI : 10.1016/0047-259X(79)90079-4
Scaling of High-Quantile Estimators, Journal of Applied Probability, vol.2, issue.04, pp.968-983, 2011. ,
DOI : 10.1007/s00362-008-0128-1
Risk concentration and diversification: Second-order properties, Insurance: Mathematics and Economics, vol.46, issue.3, pp.541-546, 2010. ,
DOI : 10.1016/j.insmatheco.2010.01.011
URL : http://arxiv.org/abs/0910.2367
Modelling Extreme Events for Insurance and Finance, 1997. ,
Correlation and dependence in risk management: B. Das and M. Kratz properties and pitfalls, Risk Management: Value at Risk and Beyond, pp.176-223, 2002. ,
Multivariate extremes and the aggregation of dependent risks: examples and counter-examples, Extremes, vol.42, issue.1, pp.107-127, 2009. ,
DOI : 10.1007/s10687-008-0071-5
What is the best risk measure in practice? A comparison of standard measures, The Journal of Risk, vol.18, issue.2, pp.31-60, 2015. ,
DOI : 10.21314/JOR.2015.318
URL : https://hal.archives-ouvertes.fr/hal-00921283
Second order regular variation and conditional tail expectation of multiple risks, Insurance: Mathematics and Economics, vol.49, issue.3, pp.537-546, 2011. ,
DOI : 10.1016/j.insmatheco.2011.08.013
On Kesten's counterexample to the Cramér-Wold device for regular variation, Bernoulli, vol.12, issue.1, pp.133-142, 2006. ,
Diversification disasters, Journal of Financial Economics, vol.99, issue.2, pp.333-348, 2011. ,
DOI : 10.1016/j.jfineco.2010.08.015
Second order tail asymptotics for the sum of dependent, tail-independent regularly varying risks, Extremes, vol.5, issue.4, pp.353-388, 2012. ,
DOI : 10.1007/s10687-011-0142-x
Normex, a new method for evaluating the distribution of aggregated heavy tailed risks. application to risk measures, Extremes. Special issue on Extremes and Finance, vol.17, issue.4, pp.661-691, 2014. ,
Second-order properties of risk concentrations without the condition of asymptotic smoothness, Extremes, vol.46, issue.4, pp.383-405, 2013. ,
DOI : 10.1007/s10687-012-0164-z
Second order behaviour of the tail of a subordinated probability distribution, Stochastic Processes and their Applications, pp.339-353, 1986. ,
DOI : 10.1016/0304-4149(86)90105-5
Bounds for the sum of dependent risks and worst value-at-risk with monotone marginal densities, Finance and Stochastics, vol.17, issue.2, pp.395-417, 2013. ,
Sharp bounds for sums of dependent risks, Journal of Applied Probability, vol.50, issue.1, pp.42-53, 2013. ,
DOI : 10.1239/jap/1363784423
Hidden regular variation, second order regular variation and asymptotic independence, Extremes, vol.5, issue.4, pp.303-336, 2002. ,
DOI : 10.1023/A:1025148622954
Heavy Tail Phenomena: Probabilistic and Statistical Modeling, Series in Operations Research and Financial Engineering, 2007. ,
Extreme Values, Regular Variation and Point Processes. Springer Series in Operations Research and Financial Engineering, 2008. ,
DOI : 10.1007/978-0-387-75953-1
Tail approximation of value-at-risk under multivariate regular variation, Int. J. Oper. Res. (Taichung), vol.7, issue.4, pp.34-44, 2010. ,
Capital allocation to business units and sub-portfolios: the Euler principle Pillar II in the New Basel Accord: The Challenge of Economic Capital, pp.423-453, 2008. ,
Risk concentration of aggregated dependent risks: The second-order properties, Insurance: Mathematics and Economics, vol.50, issue.1, pp.139-149, 2012. ,
DOI : 10.1016/j.insmatheco.2011.11.002
Functional central limit theorems for processes with positive drift and their inverses, Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete, pp.245-253, 1971. ,
DOI : 10.1007/BF00532510
A sum characterization of hidden regular variation with likelihood inference via expectation-maximization, Biometrika, vol.101, issue.1, pp.17-36, 2014. ,
DOI : 10.1093/biomet/ast046