On Convergence for Sums of Rowwise Negatively Associated Random Variables

- Journal title : Communications for Statistical Applications and Methods
- Volume 16, Issue 3, 2009, pp.549-556
- Publisher : The Korean Statistical Society
- DOI : 10.5351/CKSS.2009.16.3.549

Title & Authors

On Convergence for Sums of Rowwise Negatively Associated Random Variables

Baek, Jong-Il;

Baek, Jong-Il;

Abstract

Let be an array of rowwise negatively associated random variables. In this paper we discuss completely as under not necessarily identically distributed with suitable conditions for >1/2, 0

and a slowly varying function h(x)>0 as . In addition, we obtain the complete convergence of moving average process based on negative association random variables which extends the result of Zhang (1996).

Keywords

Negatively associated random variables;slowly varying function;complete convergence;almost sure convergence;

Language

English

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