On a Local Limit Theorem for Lattice Distributions

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1957 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:Theory of Probability & Its Applications, volume 2, pages 260-265 (issn: 0040-585X, eissn: 1095-7219,

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Authors: Rozanov, Yu. A.;

doi: 10.1137/1102018

On a Local Limit Theorem for Lattice Distributions

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Abstract

Let sequence (1) of independent random variables assuming only integral values satisfy conditions (A) and (B). The following proposition is proved:In order for correlation (2) to hold true for a sequence differing from (1) only by a finite number of terms, it is necessary and sufficient for (3) to be satisfied.

Keywords

probability theory

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