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Complete and complete moment convergence for weighted sums of widely orthant dependent random variables
Authors:De Hua Qiu  Ping Yan Chen
Institution:1. School of Mathematics and Statistics, Guangdong University of Finance & Economics, Guangzhou, 510320, P. R. China
2. Department of Mathematics, Jinan University, Guangzhou, 510630, P. R. China
Abstract:In this paper, we establish a complete convergence result and a complete moment convergence result for weighted sums of widely orthant dependent random variables under mild conditions. As corollaries, the corresponding results for weighted sums of extended negatively orthant dependent random variables are also obtained, which generalize and improve the related known works in the literature.
Keywords:Widely orthant dependent random variables  extended negatively orthant dependent random variables  complete convergence  complete moment convergence
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