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A novel class of bivariate max-stable distributions

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  • Hashorva, Enkelejd

Abstract

In this paper we consider bivariate triangular arrays given in terms of linear transformations of asymptotically spherical bivariate random vectors. We show under certain restrictions that the componentwise maxima of such arrays is attracted by a bivariate max-stable distribution function with three parameters. This new class of max-stable distributions includes the bivariate max-stable Hüsler-Reiss distribution function for a special choice of parameters.

Suggested Citation

  • Hashorva, Enkelejd, 2006. "A novel class of bivariate max-stable distributions," Statistics & Probability Letters, Elsevier, vol. 76(10), pages 1047-1055, May.
    • Handle: RePEc:eee:stapro:v:76:y:2006:i:10:p:1047-1055
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    References listed on IDEAS

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    1. Hüsler, Jürg & Reiss, Rolf-Dieter, 1989. "Maxima of normal random vectors: Between independence and complete dependence," Statistics & Probability Letters, Elsevier, vol. 7(4), pages 283-286, February.
    2. Hashorva, Enkelejd, 2005. "Elliptical triangular arrays in the max-domain of attraction of Hüsler-Reiss distribution," Statistics & Probability Letters, Elsevier, vol. 72(2), pages 125-135, April.
    3. Cambanis, Stamatis & Huang, Steel & Simons, Gordon, 1981. "On the theory of elliptically contoured distributions," Journal of Multivariate Analysis, Elsevier, vol. 11(3), pages 368-385, September.
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    Cited by:

    1. Nadarajah, Saralees, 2013. "Expansions for bivariate extreme value distributions," Statistics & Probability Letters, Elsevier, vol. 83(3), pages 744-752.
    2. Enkelejd Hashorva, 2008. "A new family of bivariate max-infinitely divisible distributions," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 68(3), pages 289-304, November.

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