Open Access
2013 On Complete Convergence for Weighted Sums of ρ * -Mixing Random Variables
Aiting Shen, Xinghui Wang, Huayan Zhu
Abstr. Appl. Anal. 2013: 1-7 (2013). DOI: 10.1155/2013/947487


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.


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Aiting Shen. Xinghui Wang. Huayan Zhu. "On Complete Convergence for Weighted Sums of ρ * -Mixing Random Variables." Abstr. Appl. Anal. 2013 1 - 7, 2013.


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

zbMATH: 07095525
MathSciNet: MR3126800
Digital Object Identifier: 10.1155/2013/947487

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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