International Journal of Mathematics and Mathematical Sciences 
Volume 2005 (2005), Issue 6, Pages 975-985
doi:10.1155/IJMMS.2005.975

Strong stability of weighted sums of NA random variables

Gan Shixin

School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received 5 July 2003; Revised 1 April 2004

Abstract

We study the almost sure (strong) stability of weighted sums of NA random variables and obtain some new results which extend earlier results of Matula (1992), Chow and Teicher (1971), Jamison et al. (1965), and Petrov (1975).