• Some Limit Theorems for Negatively Associated Random Variables

• Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/124/03/0447-0456

• Keywords

Negatively associated random variables; $L^p$-convergence; Marcinkiewicz–Zygmund strong law of large numbers; order statistics.

• Abstract

Let $\{X_n,n\geq 1\}$ be a sequence of negatively associated random variables. The aim of this paper is to establish some limit theorems of negatively associated sequence, which include the $L^p$-convergence theorem and Marcinkiewicz–Zygmund strong law of large numbers. Furthermore, we consider the strong law of sums of order statistics, which are sampled from negatively associated random variables.

• Author Affiliations

1. College of Mathematics and Information Science, Henan Normal University, Henan Province, 453007, China
2. Department of Applied Mathematics IIT, Chicago 60657, USA

• Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 3
June 2019