Complete Moment Convergence for Arrays of Rowwise Widely Orthant Dependent Random Variables
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.
KeywordsComplete convergence complete moment convergence array of widely orthant dependent random variables complete integral convergence
MR(2010) Subject Classification60F15
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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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