Almost Sure Convergence of Weighted Sums for Negatively Associated Random Variables

Shoufang Xu and Yu Miao

Communications in Statistics - Theory and Methods, 2014, vol. 43, issue 10-12, 2581-2594

Abstract: In this article, let {X1, …, Xn} be a sequence of negatively associated random variables and {ani, 1 ⩽ i ⩽ n, n ⩾ 1} be a triangular array of constants. Several almost sure convergence theorems for the weighted sums ∑ni = 1aniXi are established.

Date: 2014
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DOI: 10.1080/03610926.2013.841921

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