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Complete and Complete Moment Convergence for Weighted Sums of Widely Orthant Dependent Random Variables 被引量:20

Complete and Complete Moment Convergence for Weighted Sums of Widely Orthant Dependent Random Variables
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摘要 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. 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.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2014年第9期1539-1548,共10页 数学学报(英文版)
基金 Supported by National Natural Science Foundation of China(Grant No.11271161)
关键词 Widely orthant dependent random variables extended negatively orthant dependent random variables complete convergence complete moment convergence Widely orthant dependent random variables, extended negatively orthant dependent random variables, complete convergence, complete moment convergence
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