This article is cited in 2 papers

The law of large numbers and the logarithmic law for arrays

A. E. Mikusheva

M. V. Lomonosov Moscow State University

Abstract: In this paper we study the asymptotic behavior of sums for arrays of i.i.d. random variables. We obtain conditions under which the law of large numbers for subsequences holds and give an example showing the impossibility to weaken them. Also we establish an analogue of the law of the iterated logarithm.

UDC: 519.21

Received: 01.11.1997

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