Complete convergence for negatively dependent random variables

Author:

D. M. Amini1,Bozorgnia A.2

Affiliation:

1. Sistan and Baluchestan University, Department of Mathematics, Faculty of Science, Zahedan, Iran

2. Ferdowski University, Department of Statistics, Faculty of Mathematical Science, Mashhad, Iran

Abstract

In this paper, we study the complete convergence for the means 1ni=1nXi and 1nαk=1nXnk via. exponential bounds, where α>0 and {Xn,n1} is a sequence of negatively dependent random variables and {Xnk,1kn,n1} is an array of rowwise pairwise negatively dependent random variables.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Modeling and Simulation,Statistics and Probability

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