Complete Convergence for Weighted Sums of Arrays of B-Valued Random Variables
Received:January 07, 2002  
Key Word: array of rowwise independent B-valued random variables   complete convergence   regular varying function   weighted sum.  
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Author NameAffiliation
CHENG Feng-yang School of Mathematic Science
Suzhou Univ.
Jiangsu
China 
WANG Yue-bao School of Mathematic Science
Suzhou Univ.
Jiangsu
China 
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Abstract:
      Let {Xni:1≤i≤n,n≥1} be an array of rowwise independent B-valued random variables, and let g(x) be a regular varying function with index 1/P(P>0) . Let {ani:1≤i≤n,n≥1} be an array of real numbers. Let r>0 . The sufficient conditions such that (?) are obtained. The wellknown results by Stout and Sung etc. are extended.
Citation:
DOI:10.3770/j.issn:1000-341X.2004.04.011
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