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Limit properties for multivariate extreme values in sequences of independent, non-identically distributed random vectors

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  • Hüsler, J.

Abstract

Any multivariate distribution can occur as the limit of extreme values in a sequence of independent, non-identically distributed random vectors. Under a reasonable uniform negligibility condition the class of such limit distribution can be totally characterized, which extends the known univariate results. In addition, some results on the dependence structure of a possible limit law are given, as for instance the independence, the positive lower orthant dependence or the association.

Suggested Citation

  • Hüsler, J., 1989. "Limit properties for multivariate extreme values in sequences of independent, non-identically distributed random vectors," Stochastic Processes and their Applications, Elsevier, vol. 31(1), pages 105-116, March.
  • Handle: RePEc:eee:spapps:v:31:y:1989:i:1:p:105-116
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    Cited by:

    1. Hashorva, E. & Hüsler, J., 1999. "Extreme Values in FGM Random Sequences," Journal of Multivariate Analysis, Elsevier, vol. 68(2), pages 212-225, February.

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