Journal of Applied Mathematics and Stochastic Analysis
Volume 16 (2003), Issue 2, Pages 121-126
doi:10.1155/S104895330300008X
Complete convergence for negatively dependent random variables
1Sistan and Baluchestan University, Department of Mathematics, Faculty of Science, Zahedan, Iran
2Ferdowski University, Department of Statistics, Faculty of Mathematical Science, Mashhad, Iran
Received 1 February 2001; Revised 1 January 2003
Copyright © 2003 M. Amini D. and A. Bozorgnia. 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 paper, we study the complete convergence for the means 1n∑i=1nXi and 1nα∑k=1nXnk via. exponential bounds, where α>0 and {Xn,n≥1} is a sequence of negatively dependent random variables and {Xnk,1≤k≤n,n≥1} is an array of rowwise pairwise negatively dependent random variables.