This article is cited in 11 papers

Short Communications

On a Local Limit Theorem for Lattice Distributions

Yu. A. Rozanov

Moscow

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.

Received: 20.12.1956

 English version: Theory of Probability and its Applications, 1957, 2:2, 260–265