This article is cited in 25 papers

Short Communications

On the Estimation of the Remainder in the Central Limit Theorem

L. V. Osipov, V. V. Petrov

Leningrad

Abstract: Some estimates are obtained for the deviation of the distribution function of a sum of independent random variables from the normal distribution function. These estimates contain many known results as special cases. They can be applied in the general case when no assumptions are made about the existence of moments of the random variables under consideration.

Received: 24.05.1966

 English version: Theory of Probability and its Applications, 1967, 12:2, 281–286

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