Abstract and Applied Analysis

On Strong Convergence for Weighted Sums of a Class of Random Variables

Aiting Shen

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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).

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 216236, 7 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511804

Digital Object Identifier
doi:10.1155/2013/216236

Mathematical Reviews number (MathSciNet)
MR3035392

Zentralblatt MATH identifier
1279.60041

Citation

Shen, Aiting. On Strong Convergence for Weighted Sums of a Class of Random Variables. Abstr. Appl. Anal. 2013 (2013), Article ID 216236, 7 pages. doi:10.1155/2013/216236. https://projecteuclid.org/euclid.aaa/1393511804


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