Acta Mathematica Sinica, English Series

, Volume 34, Issue 10, pp 1531–1548 | Cite as

Complete Moment Convergence for Arrays of Rowwise Widely Orthant Dependent Random Variables

  • Yi Wu
  • Xue Jun Wang
  • Andrew RosalskyEmail author


In this paper, complete moment convergence for widely orthant dependent random variables is investigated under some mild conditions. For arrays of rowwise widely orthant dependent random variables, the main results extend recent results on complete convergence to complete moment convergence. These results on complete moment convergence are shown to yield new results on complete integral convergence.


Complete convergence complete moment convergence array of widely orthant dependent random variables complete integral convergence 

MR(2010) Subject Classification



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The authors are grateful to the referee for carefully reading the manuscript and for providing helpful comments and constructive criticism which enabled them to improve the paper.


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Copyright information

© Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Mathematical SciencesAnhui UniversityHefeiP. R. China
  2. 2.Department of StatisticsUniversity of FloridaGainesvilleUSA

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