This article is cited in 23 papers

Short Communications

Refinement of Lindeberg's theorem

L. V. Osipov

Leningrad

Abstract: An estimate is given for the remainder in the central limit theorem for the sums of independent non-identically distributed random variables. The main result (theorem 1) is a generalization of the known results by Liapounoff and Esseen.

Received: 22.03.1965

 English version: Theory of Probability and its Applications, 1966, 11:2, 299–302

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