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A remark on almost sure convergence of weighted sums

✍ Scribed by Rolf Thrum

Publisher: Springer
Year: 1987
Tongue: English
Weight: 214 KB
Volume: 75
Category: Article
ISSN: 1432-2064
DOI: 10.1007/bf00318709

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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