Abstract and Applied Analysis

On Complete Convergence for Weighted Sums of ρ * -Mixing Random Variables

Aiting Shen, Xinghui Wang, and Huayan Zhu

Full-text: Open access

Abstract

We prove the strong law of large numbers for weighted sums i = 1 n a n i X i , which generalizes and improves the corresponding one for independent and identically distributed random variables and φ -mixing random variables. In addition, we present some results on complete convergence for weighted sums of ρ * -mixing random variables under some suitable conditions, which generalize the corresponding ones for independent random variables.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 947487, 7 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393512126

Digital Object Identifier
doi:10.1155/2013/947487

Mathematical Reviews number (MathSciNet)
MR3126800

Zentralblatt MATH identifier
07095525

Citation

Shen, Aiting; Wang, Xinghui; Zhu, Huayan. On Complete Convergence for Weighted Sums of ${\rho }^{\mathbf{*}}$ -Mixing Random Variables. Abstr. Appl. Anal. 2013 (2013), Article ID 947487, 7 pages. doi:10.1155/2013/947487. https://projecteuclid.org/euclid.aaa/1393512126


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