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Asymptotics of Combinatorial Sums and the Central Limit Theorem

✍ Scribed by Cohen, Paula S.; Regev, Amitai

Book ID: 118201600
Publisher: Society for Industrial and Applied Mathematics
Year: 1988
Tongue: English
Weight: 868 KB
Volume: 19
Category: Article
ISSN: 0036-1410
DOI: 10.1137/0519085

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## Abstract Let __X__, __X__~1~, __X__~2~, … be i.i.d. random variables with nondegenerate common distribution function __F__, satisfying __EX__ = 0, __EX__^2^ = 1. Let __X~i~__ and __M~n~__ = max{__X~i~__, 1 ≤ __i__ ≤ __n__ }. Suppose there exists constants __a~n~__ > 0, __b~n~__ ∈ __R__ and a non