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2013 On Strong Convergence for Weighted Sums of a Class of Random Variables
Aiting Shen
Abstr. Appl. Anal. 2013: 1-7 (2013). DOI: 10.1155/2013/216236

Abstract

Let { X n , n 1 } be a sequence of random variables satisfying the Rosenthal-type maximal inequality. Complete convergence is studied for linear statistics that are weighted sums of identically distributed random variables under a suitable moment condition. As an application, the Marcinkiewicz-Zygmund-type strong law of large numbers is obtained. Our result generalizes the corresponding one of Zhou et al. (2011) and improves the corresponding one of Wang et al. (2011, 2012).

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Aiting Shen. "On Strong Convergence for Weighted Sums of a Class of Random Variables." Abstr. Appl. Anal. 2013 1 - 7, 2013. https://doi.org/10.1155/2013/216236

Information

Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1279.60041
MathSciNet: MR3035392
Digital Object Identifier: 10.1155/2013/216236

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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