References
References
- Ammeter , H . (1964) . The rating of largest claim reinsurance covers. Quarterly letter from the algemeene reinsurance companies . Jubilee number , 2 : 79 – 109 .
- Benktander , G . (1978) . Largest claims reinsurance (LCR). A quick method to calculate LCR-risk rates from excess-of-loss risk rates . Astin Bulletin , 10 : 54 – 58 .
- Bingham NH Goldie CM Teugels JL (1987) Regular variation Cambridge Cambridge University Press
- Carriere , JF . (2000) . Bivariate survival models for coupled lives . Scand. Actuarial J. , 1 : 17 – 32 .
- Dekkers , ALM and de Haan , L . (1993) . Optimal choice of sample fraction in extreme-value estimation . J. Multivariate Anal. , 47 : 173 – 195 .
- Embrechts P Klüppelberg C Mikosch T (1997) Modelling extremal events for insurance and finance Berlin Springer
- Embrechts P McNeil A Straumann D (2002) Correlation and dependency in risk management: properties and pitfalls In M. Dempster (Ed.) Risk management: value at risk and beyond Cambridge Cambridge University Press pp. 176–223
- Frees , WE and Valdez , EA . (1998) . Understanding relationships using copulas . North American Actuarial Journal , 2 : 1 – 25 .
- Frey R McNeil AJ (2001) Modelling dependent defaults Preprint
- Fristedt B Gray L (1997) A modern approach to probability theory Basel Birkhäuser
- Haan Lde (1970) On regular variation and its application to weak convergence of sample extremes CWI Tract 32, Amsterdam
- Joe H (1997) Multivariate models and dependence concepts London Chapman & Hall
- Juri , A and Wüthrich , MV . (2002) . Copula convergence theorems for tail events . Insurance: Math. Econom. , 30 (3) : 405 – 420 .
- Juri A Wüthrich MV (2002) Tail dependence from a distributional point of view Preprint
- Kremer , E . (1998) . Largest claims reinsurance premiums under possible claims dependence . Astin Bulletin , 28 : 257 – 207 .
- Nelsen RB (1999) An introduction to copulas New York Springer
- Resnick SI (1987) Extreme values, regular variation and point processes New York Springer
- Sklar A (1959) Fonctions de répartition à n dimensions et leurs marges Publications de l'Institut de Statistique de l'Université de Paris 8 229 231
- Wüthrich MV (2002) Asymptotic Value-at-Risk estimates for sums of dependent random variables Accepted for publication in Astin Bulletin