On the law of the iterated logarithm for sequences of dependent random variables


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Abstract

Sufficient conditions for the applicability of the law of the iterated logarithm to sequences of dependent random variables are obtained. As a corollary, a theorem on the law of the iterated logarithm for a sequence of m-orthogonal random variables is proved.

About the authors

V. V. Petrov

St. Petersburg State University

Author for correspondence.
Email: petrov2v@mail.ru
Russian Federation, St. Petersburg, 199034

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