Tail index estimation and an exponential regression model, pp.177-200, 1999. ,
On exponential representations of log-spacings of extreme order statistics, Extremes, pp.157-180, 2002. ,
Regular variation, 1987. ,
DOI : 10.1017/CBO9780511721434
Applying the proportional hazard premium calculation principle, Astin Bulletin, vol.35, pp.409-425, 2005. ,
Weighted Empirical and Quantile Processes, The Annals of Probability, vol.14, issue.1, pp.31-85, 1986. ,
DOI : 10.1214/aop/1176992617
Kernel Estimates of the Tail Index of a Distribution, The Annals of Statistics, vol.13, issue.3, pp.1050-1077, 1985. ,
DOI : 10.1214/aos/1176349656
Extreme value theory: an introduction, 2006. ,
DOI : 10.1007/0-387-34471-3
Comparison of tail index estimators, Statistica Neerlandica, vol.52, issue.1, pp.60-70, 1998. ,
DOI : 10.1111/1467-9574.00068
Estimating a tail exponent by modelling departure from a Pareto distribution, Annals of Statistics, vol.27, pp.760-781, 1999. ,
Regular variation, extensions and Tauberian theorems, CWI tract 40, 1987. ,
Bias reduction and explicit semi-parametric estimation of the tail index, Journal of Statistical Planning and Inference, vol.124, issue.2, pp.361-378, 2004. ,
DOI : 10.1016/S0378-3758(03)00205-2
Improving second order reduced bias extreme value index estimator, REVSTAT -Statistical Journal, vol.5, issue.2, pp.177-207, 2007. ,
Insurance premiums, theory and applications, 1984. ,
Kernel-type estimators for the extreme value index, Annals of Statistics, vol.31, pp.1956-1995, 2003. ,
A Simple General Approach to Inference About the Tail of a Distribution, The Annals of Statistics, vol.3, issue.5, pp.1136-1174, 1975. ,
DOI : 10.1214/aos/1176343247
Empirical Estimation of Risk Measures and Related Quantities, North American Actuarial Journal, vol.44, issue.1, pp.44-54, 2003. ,
DOI : 10.1080/10920277.2003.10596117
Estimating the risk adjusted premium of the largest reinsurance covers, Proceeding of Computational Statistics, 2004. ,
Empirical estimation of the proportional hazard premium for heavy-tailed claim amounts, Insurance: Mathematics and Economics, vol.45, issue.1, pp.49-58, 2009. ,
DOI : 10.1016/j.insmatheco.2009.03.004
Statistical estimate of the proportional hazard premium of loss, Scandinavian Actuarial Journal, vol.3, pp.147-161, 2007. ,
On univariate extreme value statistics and the estimation of reinsurance premiums, Insurance: Mathematics and Economics, vol.38, issue.3, pp.441-459, 2006. ,
DOI : 10.1016/j.insmatheco.2005.11.002
Insurance pricing and increased limits ratemaking by proportional hazards transforms, Insurance: Mathematics and Economics, vol.17, issue.1, pp.43-54, 1995. ,
DOI : 10.1016/0167-6687(95)00010-P
Abstract, ASTIN Bulletin, vol.50, issue.01, pp.71-92, 1996. ,
DOI : 10.2143/AST.21.2.2005365
URL : https://hal.archives-ouvertes.fr/hal-00953003
Estimation of parameters and larges quantiles based on the k largest observations, Journal of American Statistical Association, vol.73, pp.812-815, 1978. ,
The Dual Theory of Choice under Risk, Econometrica, vol.55, issue.1, pp.95-115, 1987. ,
DOI : 10.2307/1911158