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Complete convergence for randomly indexed sums of random variables

✍ Scribed by O. I. Klesov

Publisher
Springer US
Year
1995
Tongue
English
Weight
441 KB
Volume
76
Category
Article
ISSN
1573-8795

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## Abstract Let {__X~n~__, __n__ β©Ύ 1) be a sequence of independent random variables such that __EX~n~__ = __a~n~__, __E__(__X~n~__ βˆ’ __a~n~__)^2^ = Οƒ, __n__ β©Ύ 1. Let {__N~n~, n__ β©Ύ 1} be a sequence of positive integer‐valued random variables. Let us put In this paper we present necessary and suffi