International Journal of Mathematics and Mathematical Sciences 
Volume 20 (1997), Issue 4, Pages 773-782
doi:10.1155/S0161171297001063

On complete convergence for randomly indexed sums for a case without identical distributions

Anna Kuczmaszewska1 and Dominik Szynal2

 1Technical University of Lublin, Department of Applied Mathematics, Bernardyńska 13, Lublin 20-950 , Poland
2Institute of Mathematics, UMCS Plac Marii Curie-Skłodowskiej 1, Lublin 20-031, Poland
Received 26 December 1995; Revised 10 August 1996

Abstract

In this note we extend the complete convergence for randomly indexed sums given by Klesov (1989) to nonidentical distributed random variables.