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Teoriya Veroyatnostei i ee Primeneniya, 1994, Volume 39, Issue 2, Pages 415–422
(Mi tvp3810)
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This article is cited in 1 scientific paper (total in 1 paper)
Short Communications
A unified criterion for the domain of attraction of extreme-value distributions
L. de Haan Erasmus University, Rotterdam
Abstract:
It is proved that the convergence of just two functionals of a distribution function (in fact moments of residual life times) is necessary and sufficient for the domain of attraction of extreme-value distributions. Sufficient conditions can be given in terms of just one functional of the distribution function.
Keywords:
extreme-value distributions, domain of attraction, residual lifetime, regularly varying functions.
Received: 26.08.1993
Citation:
L. de Haan, “A unified criterion for the domain of attraction of extreme-value distributions”, Teor. Veroyatnost. i Primenen., 39:2 (1994), 415–422; Theory Probab. Appl., 39:2 (1994), 323–329
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https://www.mathnet.ru/eng/tvp3810 https://www.mathnet.ru/eng/tvp/v39/i2/p415
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Abstract page: | 186 | Full-text PDF : | 53 | First page: | 21 |
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