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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive
Zap. Nauchn. Sem. POMI, 2001 Volume 278, Pages 177–181 (Mi znsl1440)
This article is cited in 1 paper

On the law of the iterated logarithm without assumptions about the existence of moments

V. V. Petrov

Saint-Petersburg State University

Abstract: Sufficient conditions are given for the applicability of the law of the interated logarithm to sequences of independent random variables. These conditions do not include assumptions about the existence of any moments.

UDC: 519.2

Received: 29.11.2000


 English version: Journal of Mathematical Sciences (New York), 2003, 118:6, 5607–5609

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© Steklov Math. Inst. of RAS, 2025