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:
Stochastic Analysis and Applications,
Volume
19,
Issue
6
November
2001
, pages 903
- 909
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Abstract
Let
Xn,n≥1 be a sequence of independent and identically distributed random variables and ani,1≤i≤n,n≥1 an array of constants. Some strong convergence results for the weighted sums ∑i=1naniXi are obtained.
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Xn,n≥1
be a sequence of independent and identically distributed random variables and
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