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Complete Moment Convergence For Weighted Sums Of Arrays Of Rowwise î‹“-mixing Random Variables

Posted on:2016-05-29Degree:MasterType:Thesis
Country:ChinaCandidate:S LiuFull Text:PDF
GTID:2180330503451266Subject:Statistics
Abstract/Summary:PDF Full Text Request
be an array of rowwise ρ-mixing random variables with mixed coefficient ρn(·) and lii The complete moment convergence for weighted sums of )are studied. Three theorems and a corollary for weighted sums of arrays of rowwise ρ-mixing random variables are obtained by utilizing the Rosenthal type maximal inequalities of ρ-mixing random variables. These results extend the related known works of Lanzinger and Stadtmuller[5] in i. i. d. case and Liang and Zhang[6] in NA case.
Keywords/Search Tags:ρ-mixing random variables, weighted sums, complete moment convergence, complete convergence
PDF Full Text Request
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