On the complete convergence for arrays of rowwise ψ-mixing random variables

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作者
Yong-Feng Wu
Hui Ding
机构
[1] Tongling University,College of Mathematics and Computer Science
[2] Chuzhou University,School of Mathematical Sciences
关键词
-mixing random variable; weighted sums; complete convergence;
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摘要
Some sufficient conditions for complete convergence for maximal weighted sums max1≤j≤n|∑k=1jankXnk| and weighted sums ∑k=1nankXnk are presented, where {Xnk,1≤k≤n,n≥1} is an array of rowwise ψ-mixing random variables, and {ank,1≤k≤n,n≥1} is an array of constants. The obtained results extend and improve the corresponding result in the previous literature.
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