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Strong convergence for sums of randomly weighted, rowwise exchangeable random variables

 

作者: Ronald F. Patterson,   Robert L. Taylor,   Hiroshi Inoue,  

 

期刊: Stochastic Analysis and Applications  （Taylor Available online 1989）
卷期: Volume 7, issue 3  

页码: 309-323

 

ISSN:0736-2994

 

年代: 1989

 

DOI:10.1080/07362998908809184

 

出版商: Marcel Dekker, Inc.

 

关键词: Randomly Weighted Sums;Almost Sure Convergence;Exchangeable;Random Elements

 

数据来源: Taylor

 

摘要:

Letbe an array of rowwise exchangeable random elements in a separable Banach space. Let {An} and {an} be random variables where Anis positive and anis a symmetric function of. Using reverse martingale techniques, strong convergence is obtained for the weighted sum, under certain moment conditions on me random elements and suitable conditions on the random weights

 

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