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On the strong convergence of weighted sums 

Authors: Rita Giuliano Antonini a;  Joong Sung Kwon b;  Soo Hak Sung c; Andrei I. Volodin d
Affiliations:   a Department of Mathematics, University of Pisa, Pisa, Italy
b Department of Mathematics, Sun Moon University, Asan, Chungnam, South Korea
c Department of Applied Mathematics, Pai Chai University, Taejon, South Korea
d Department of Mathematics, University of Regina, Regina, Canada
DOI: 10.1081/SAP-120000752
Publication Frequency: 6 issues per year
Published in: journal Stochastic Analysis and Applications, Volume 19, Issue 6 November 2001 , pages 903 - 909
Formats available: HTML (English) : PDF (English)
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Abstract

Let lcubXn,n≥1rcub be a sequence of independent and identically distributed random variables and lcubani,1≤in,n≥1rcub an array of constants. Some strong convergence results for the weighted sums ∑i=1naniXi are obtained.
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