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On the limiting behavior of weighted partial sums forBvalued martingale difference sequences

✍ Scribed by Gan Shi-xin; Qiu De-hua


Book ID
105625276
Publisher
Wuhan University
Year
2002
Tongue
English
Weight
205 KB
Volume
7
Category
Article
ISSN
1007-1202

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We study the almost sure limiting behavior and convergence in probability of weighted partial sums of the form ~-~j=l, W~jX, j where { W~j, 1 -.~j ~< n, n 1> 1 } and {X,j, 1 ~~ 1 }are triangular arrays of random variables. The results obtain irrespective of the joint distributions of the random vari