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
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
Copyright © 1997 Anna Kuczmaszewska and Dominik Szynal. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In this note we extend the complete convergence for randomly indexed sums given by Klesov (1989) to nonidentical distributed random variables.