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Communications in Statistics - Theory and Methods Volume 43, 2014 - Issue 13
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Original Articles

On the Rate of Complete Convergence for Weighted Sums of Arrays of Rowwise ϕ-Mixing Random Variables

Aiting ShenSchool of Mathematical Science, Anhui University, Hefei, ChinaCorrespondence[email protected]
,
Xinghui WangSchool of Mathematical Science, Anhui University, Hefei, China
,
Xiaoqin LiSchool of Mathematical Science, Anhui University, Hefei, China
&
Xuejun WangSchool of Mathematical Science, Anhui University, Hefei, China
Pages 2714-2725 | Received 25 Nov 2011, Accepted 28 Mar 2012, Published online: 05 Jun 2014
 
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Abstract

Let be an array of rowwise ϕ-mixing random variables. A rate of complete convergence for weighted sums of arrays of rowwise ϕ-mixing random variables is obtained without assumption of identical distribution. The techniques used in the paper are the Rosenthal type inequality and the truncated method. As an application, the Baum and Katz type result for arrays of rowwise ϕ-mixing random variables is obtained.

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