This article is cited in 6 papers

On the limit theorems for sums of dependent random variables

A. F. Ronžin

Moscow

Abstract: In the article some limit theorems for the sums of dependent random variables are proved. We find also the limit distribution of the number of $m$-repetitions in the subsequence of generalized polinomial schemes and prove the asymptotic normality of the number of common undersubsequences of fixed length in subsequences of generalized polinomial schemes.

Received: 13.09.1977

 English version: Theory of Probability and its Applications, 1980, 24:3, 549–559

Bibliographic databases:

• 
• 
•