Open Access
2014 On Complete Convergence and Strong Law for Weighted Sums of i.i.d. Random Variables
Pingyan Chen, Xiaofang Ma, Soo Hak Sung
Abstr. Appl. Anal. 2014: 1-7 (2014). DOI: 10.1155/2014/251435

Abstract

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.

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Pingyan Chen. Xiaofang Ma. Soo Hak Sung. "On Complete Convergence and Strong Law for Weighted Sums of i.i.d. Random Variables." Abstr. Appl. Anal. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/251435

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022004
MathSciNet: MR3228064
Digital Object Identifier: 10.1155/2014/251435

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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