This article is cited in 6 papers

Short Communications

On the rate of convergence to the normal law equivalent to the existence of the second moment

V. A. Egorov

A. A. Zhdanov Leningrad State University

Abstract: Let $\{X_n\}$ be a sequence of mutually independent identically distributed random variables which belong to the domain of attraction of the normal law. The rate of convergence to the normal law equivalent to the existence of the second moment of $X_n$ is investigated.

Received: 31.05.1971

 English version: Theory of Probability and its Applications, 1973, 18:1, 175–180

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