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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2012 Volume 408, Pages 285–288 (Mi znsl5505)

This article is cited in 3 papers

On the strong law of large numbers for a sequence of dependent random variables

V. V. Petrov

Saint-Petersburg State University, Saint-Petersburg, Russia

Abstract: New sufficient conditions are found for the applicability of the strong law of large numbers to a sequence of random variables without assumptions of independence or nonnegativity.

Key words and phrases: strong law of large numbers, sums of dependent random variables.

UDC: 519.2

Received: 12.09.2012


 English version:
Journal of Mathematical Sciences (New York), 2014, 199:2, 225–227

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