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Fundamentalnaya i Prikladnaya Matematika, 2000, Volume 6, Issue 1, Pages 195–206
(Mi fpm466)
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This article is cited in 2 scientific papers (total 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.
Received: 01.11.1997
Citation:
A. E. Mikusheva, “The law of large numbers and the logarithmic law for arrays”, Fundam. Prikl. Mat., 6:1 (2000), 195–206
Linking options:
https://www.mathnet.ru/eng/fpm466 https://www.mathnet.ru/eng/fpm/v6/i1/p195
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Abstract page: | 479 | Full-text PDF : | 200 | First page: | 1 |
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