On Complete Convergence and Strong Law for Weighted Sums of i.i.d. Random Variables

Pingyan Chen; Xiaofang Ma; Soo Hak Sung

doi:10.1155/2014/251435

Abstract and Applied Analysis (Jan 2014)

On Complete Convergence and Strong Law for Weighted Sums of i.i.d. Random Variables

Pingyan Chen,
Xiaofang Ma,
Soo Hak Sung

Affiliations

Pingyan Chen: Department of Mathematics, Jinan University, Guangzhou 510630, China
Xiaofang Ma: Department of Statistics, Jinan University, Guangzhou 510630, China
Soo Hak Sung: Department of Applied Mathematics, Pai Chai University, Taejon 302-735, Republic of Korea

DOI: https://doi.org/10.1155/2014/251435
Journal volume & issue: Vol. 2014

Abstract

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We improve and generalize the result of Stout (1974, Theorem 4.1.3). In particular, the sharp moment conditions are obtained and some well-known results can be obtained as special cases of the main result. The method of the proof is completely different from that in Stout. We also improve and generalize Li et al. (1995) strong law for weighted sums of i.i.d. random variables.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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