Corrigendum to "Multivariate extreme models based on underlying skew-t and skew-normal distributions" [J. Multivariate Anal. 102 (2011) 977-991] Doi: 10.1016/j.jmva.2011.01.014;Multivariate extreme models based on underlying skew-t and skew-normal distributions

Journal of Multivariate Analysis

Volumn 102, Issue 5, 2011, Pages 977-991

  Padoan, Simone A ^a  

^a EPFL   (Switzerland)

Author keywords

Extreme copulas; Extreme values; Max stable distribution; Pickands dependence function; Skew normal distribution; Skew t distribution; Spatial extremes; Tail dependence function

Indexed keywords

EID: 79952455261     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2015.08.013     Document Type: Erratum

References (39)

1. Arellano R.R., Genton M.G. Multivariate extended skew-t distributions and related families. Metron 2010, 68:201-234.
2. Azzalini A., Capitanio A. Statistical applications of the multivariate skew-normal distribution. Journal of the Royal Statistical Society, Series B 1999, 61:579-602.
3. Azzalini A., Capitanio A. Distributions generated by perturbation of simmetry with emphasis on a multivariate skew t-distribution. Journal of the Royal Statistical Society, Series B 2003, 65:367-389.
4. Azzalini A., della Valle A. The multivariate skew-normal distribution. Biometrika 1996, 83:715-726.
5. Basrak B., Davis R.A., Mikosch T. Regular variation of Garch processes. Stochastic Processes and their Applications 2001, 99:95-115.
6. Boldi M.O., Davison A.C. A mixture model for multivariate extremes. Journal of the Royal Statistical Society, Series B 2007, 69:217-229.
7. P. Bortot, Tail dependence in bivariate skew-normal and skew-t distributions (2010) (submitted for publication).
8. Capéraà P., Fougères A.L., Genest C. A nonparametric estimation procedure for bivariate extreme value copulas. Biometrika 1997, 24:567-577.
9. Chang S.M., Genton M.G. Extreme value distributions for the skew-symmetric family of distributions. Communications in Statistics-Theory and Methods 2007, 36:1705-1717.
10. Coles S.G. An Introduction to Statistical Modelling of Extreme Values 2001, Springer, London.
11. Coles S.G., Tawn J. Modelling extreme multivariate events. Journal of the Royal Statistical Society, Series B 1991, 53:377-392.
12. Cooley D., Davis R.A., Neveau P. The pairwise beta distribution: a flexible parametric multivariate model for extremes. Journal of Multivariate Analysis 2010, 55:55-66.
13. A.C. Davison, S.A. Padoan, M. Ribatet, Statistical modelling of spatial extremes (2010) (submitted for publication).
14. de Haan L., Ferreira A. Extreme Value Theory an Introduction 2006, Springer, USA.
15. Einmahl J.H., de Haan L., Piterbarg V. Nonparametric estimation of the spectral measure of an extreme value distribution. Annals of Statistics 2001, 29:1401-1423.
16. J.H. Einmahl, J. Segers, Maximum empirical likelihood estimation of the spectral measure of an extreme value distribution, Technical Report 42, Tilburg University, 2008.
17. Fisher R.A., Tippett L.H.C. Limiting forms of the frequency distribution of the largest or smallest member of a sample. Proceedings of the Cambridge Philosophical Society 1928, 24:180-190.
18. Genton M.G. Skew-Elliptical Distributions and their Application: A Journey Beyound Normality 2004, Chapman & Hall.
19. M.G. Genton, Y. Ma, H. Sang, On the likelihood function of Gaussian max-stable processes indexed by rd,d≥1 (2010) (submitted for publication).
20. Gnedenko B.V. Sur la distribution limite du terme maximum d'une série aléatorie. Annals of Mathematics 1943, 44:423-453.
21. Hall P. On the rate of convergence of normal extremes. Journal of Applied Probability 1979, 16:433-439.
22. Hall P., Tajvidi N. Distribution and dependence-function estimation for bivariate extreme-value distributions. Bernoulli 2000, 5:835-844.
23. Hüsler J., Reiss R. Maxima of normal random vectors: between independence and complete dependence. Statistics and Probability Letters 1989, 7:283-286.
24. Joe H. Families of min-stable multivariate exponential and multivariate extreme value distributions. Statistics and Probability Letters 1990, 9:75-81.
25. Joe H. Multivariate Models and Dependence Concepts 1997, Chapman & Hall.
26. Joe H., Li H., Nikoloulopoulos A.K. Tail dependence functions and vine copulas. Journal of Multivariate Analysis 2010, 101:252-270.
27. Joe H., Smith R.L., Weissman I. Bivariate threshold methods for extremes. Journal of the Royal Statistical Society, Series B 1992, 54:171-183.
28. Kabluchko Z., Schlather M., de Haan L. Stationary max-stable fields associated to negative definite functions. The Annals of Probability 2009, 37(5):2042-2065.
29. Ledford A.W., Tawn J.A. Statistics for near independence in multivariate extreme values. Biometrika 1996, 83:169-187.
30. Li H. Orthant tail dependence of multivariate extreme value distributions. Journal of Multivariate Analysis 2009, 100:243-256.
31. Lysenko N., Roy P., Waeber R. Multivariate extremes of generalized skew-normal distributions. Statistics and Probability Letters 2009, 79:525-533.
32. Nikoloulopoulos A.K., Joe H., Li H. Extreme value properties of multivariate t copulas. Extremes 2009, 12:129-148.
33. Padoan S.A., Ribatet M., Sisson S.A. Likelihood-based inference for max-stable processes. Journal of the American Statistical Association, Theory & Methods 2010, 105:263-277.
34. Pickands J. Multivariate extreme value distributions. Proceedings of the 43rd Session of the I.S.I. 1981, 859-878. International Statistical Institute.
35. Resnick S. Extreme Values, Point Processes and Regular Variation 1987, Springer Verlag, New York.
36. Schlather M., Tawn J.A. A dependence measure for multivariate and spatial extreme values: properties and inference. Biometrika 2003, 90:139-154.
37. Sibuya M. Bivariate extreme statistics. Annals of the Institute of Statistical Mathematics 1960, 11:195-210.
38. R.L. Smith, Max-stable processes and spatial extremes, Unpublished Manuscript, 1990.
39. Tawn J.A. Modeling multivariate extreme value distributions. Biometrika 1990, 75:245-253.