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A note on the almost sure limit theorem for the product of partial sums

✍ Scribed by Khurelbaatar Gonchigdanzan; Grzegorz A. Rempała

Book ID: 108052210
Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 151 KB
Volume: 19
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2005.06.002

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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

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