Sufficient and Necessary Conditions of Complete Convergence for Weighted Sums of ρ~‐Mixing Random Variables

Chongfeng Lan

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: The equivalent conditions of complete convergence are established for weighted sums of ρ~‐mixing random variables with different distributions. Our results extend and improve the Baum and Katz complete convergence theorem. As an application, the Marcinkiewicz‐Zygmund type strong law of large numbers for sequence of ρ~‐mixing random variables is obtained.

Date: 2014
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https://doi.org/10.1155/2014/612140

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:612140

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