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On almost sure limiting behavior of weighted sums of random fields

✍ Scribed by Z. A. Lagodowski; P. Matuła

Publisher: Akadmiai Kiad
Year: 2009
Tongue: English
Weight: 304 KB
Volume: 126
Category: Article
ISSN: 1588-2632
DOI: 10.1007/s10474-009-8198-7

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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

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