This article is cited in 1 paper

Limit theorem for some functionals of random walks

G. N. Sytaya

Kiev

Abstract: Let $\xi_,\xi_2,\dots,\xi_n,\dots$ be a sequence of independent random variables with the same distributions, $S_n=\sum_{j=1}^n\xi_j$ and let $f(x,y)$ be a measurable function. Limit theorems for the distributions of sums $\sum_{j=0}^{n-1}\sum_{k=0}^{n-1}S(S_jS_k)$ are obtained.

Received: 03.03.1966

 English version: Theory of Probability and its Applications, 1967, 12:3, 432–442

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