Multivariate extremes of generalized skew-normal distributions

Statistics and Probability Letters

Volumn 79, Issue 4, 2009, Pages 525-533

  Lysenko, Natalia ^a   Roy, Parthanil ^a,b   Waeber, Rolf ^a  

^a ETH ZURICH   (Switzerland)

^b MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 58549092632     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2008.09.033     Document Type: Article

References (17)

1. Azzalini A., and Capitanio A. Statistical applications of the multivariate skew normal distribution. Journal of the Royal Statistical Society. Series B (Statistical Methodology) 61 (1999) 579-602
2. Azzalini A., and Dalla Valle A. The multivariate skew-normal distribution. Biometrika 83 (1996) 715-726
3. Balkema A.A., and Embrechts P. High Risk Scenarios and Extremes. A Geometric Approach. Zurich Lecture Notes (2007), European Mathematical Society
4. Chang S.M., and Genton M.G. Extreme value distributions for the skew-symmetric family of distributions. Communications in Statistics-Theory and Methods 36 (2007) 1705-1717
5. Embrechts P., Klüppelberg C., and Mikosch T. Modelling Extremal Events for Insurance and Finance (1997), Springer, Berlin
6. Genest C., and Favre A. Everything you always wanted to know about copula modeling but were afraid to ask. Journal of Hydrologic Engineering 12 (2007) 347-368
7. Genest C., and Verret F. Locally most powerful rank tests of independence for copula models. Journal of Nonparametric Statistics 17 (2005) 521-539
8. Genton M.G. Skew-elliptical Distributions and Their Applications : A Journey Beyond Normality (2004), Chapman & Hall, Boca Raton
9. de Haan L., and Ferreira A. Extreme Value Theory (2006), Springer, New York
10. Hall P. On the rate of convergence of normal extremes. Journal of Applied Probability 16 (1979) 433-439
11. Hill M., and Dixon W. Robustness in real life: A study of clinical laboratory data. Biometrics 38 (1982) 377-396
12. Lane M.N. Pricing risk transfer transactions. Astin Bulletin 30 (2000) 259-293
13. Ma Y., and Genton M.G. Flexible class of skew-symmetric distributions. Scandinavian Journal of Statistics 31 (2004) 459-468
14. McNeil A.J., Frey R., and Embrechts P. Quantitative Risk Management. Concepts, Techniques and Tools (2005), Princeton University Press, Princeton, NJ
15. R 2007. R: A Language and Environment for Statistical Computing.R Foundation for Statistical Computing, Vienna, Austria. http://www.Rproject.org
16. Resnick S. Extreme Values, Regular Variation, and Point Processes (1987), Springer, New York
17. Sibuya M. Bivariate extreme statistics. Annals of the Institute of Statistical Mathematics 11 (1960) 195-210