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On $(B,\rho )$-Amarts and Almost Sure Convergence

✍ Scribed by Kruk, L.; Ziba, W.

Book ID: 118226971
Publisher: Society for Industrial and Applied Mathematics
Year: 1996
Tongue: English
Weight: 917 KB
Volume: 40
Category: Article
ISSN: 0040-585X
DOI: 10.1137/1140060

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## Abstract Let __X__~1~, …, __X__~n~ be independent random variables with common distribution function __F.__ Define equation image and let __G__(__x__) be one of the extreme‐value distributions. Assume __F__ ∈ __D__(__G__), i.e., there exist __a__~n~> 0 and __b~n~__ ∈ ℝ such that equation imag