This article is cited in 2 papers

Limit laws for cumulative sums of independent random variables with distributions of a finite number of types

A. A. Zinger

Leningrad

Abstract: Let $Z_n=\frac1{B_n}\sum_{j=1}^nX_j-A_n$ ($n=1,2,\dots$) be a sequence of normalized sums of random variables with a non-degenerate limit distribution function $G(x)$. The paper describes classes $\mathfrak G_r$ of possible $G(x)$ when the distributions of $X_j$ ($j=1,2,\dots$) belong to at most $r$ ($r=1,2,\dots$) different types.

Received: 25.01.1970

 English version: Theory of Probability and its Applications, 1971, 16:4, 596–619

Bibliographic databases:

• 
•