V. V. Petrov, “On absolute convergence of series of random variables almost surely”, Zap. Nauchn. Sem. POMI, 2014, Volume 431,Pages <nobr>140

This article is cited in 1 paper

On absolute convergence of series of random variables almost surely

V. V. Petrov

St. Petersburg State University, St. Petersburg, Russia

Abstract: The paper deals with the conditions of absolute convergence of series of random variables almost surely. The results contain no independence assumptions. A generalization is obtained in analytical terms.

Key words and phrases: series of random variables, absolute convergence almost surely, the strong law of large numbers.

UDC: 519.2

Received: 13.10.2014