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On almost-sure versions of classical limit theorems for dynamical systems

✍ Scribed by J.-R. Chazottes; S. Gouëzel

Publisher: Springer
Year: 2006
Tongue: English
Weight: 437 KB
Volume: 138
Category: Article
ISSN: 1432-2064
DOI: 10.1007/s00440-006-0021-6

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## Abstract Let {__S~n~__, __n__ ≥ 1} be partial sums of independent identically distributed random variables. The almost sure version of CLT is generalized on the case of randomly indexed sums {__S~Nn~__, __n__ ≥ 1}, where {__N~n~__, __n__ ≥ 1} is a sequence of positive integer‐valued random varia