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On the almost sure (a.s.) central limit theorem for random variables with infinite variance

✍ Scribed by I. Berkes; H. Dehling


Book ID
112712915
Publisher
Springer US
Year
1994
Tongue
English
Weight
504 KB
Volume
7
Category
Article
ISSN
0894-9840

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On the almost sure central limit theorem
✍ A. Krajka; J. Wasiura πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 169 KB πŸ‘ 1 views

## Abstract Let {__S~n~__, __n__ β‰₯ 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__ β‰₯ 1}, where {__N~n~__, __n__ β‰₯ 1} is a sequence of positive integer‐valued random varia