Showing papers in "Theory of Probability and Its Applications in 1980"

On the Strong Law of Large Numbers and Related Results for Quasi-Stationary Sequences

Abstract: : Under second moment assumptions and weak dependence conditions on a sequence of random variables X sub 1 , Gaposkin (1975) has established almost sure convergence of the series sum from 1 to infinity of lambda sub k X sub k under certain restrictions on the rate of convergence to 0 of the constants C sub k . Similarly, Moricz (1977) has established conditions for the almost sure convergence to 0 of the sequence (lambda sub n)(sum from 1 to n of X sub k). In the present paper, some extensions of these results are obtained.