This article is cited in 4 papers

Limit theorems for random walks. I

A. V. Skorokhod, N. P. Slobodenyuk

Kiev

Abstract: Let $\xi_1,\xi_2,\dots,\xi_n,\dots$ be a sequence of independent random variables with the same distribution, $S_n=\sum_{k=1}^n\xi_k$ and let $f(x)$ be a measurable function. Limit theorems for sums $\sum_{k=1}^nf(S_k)$ are obtained

Received: 22.03.1965

 English version: Theory of Probability and its Applications, 1965, 10:4, 596–606

Bibliographic databases:

• 
•