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

Aiting Shen, Xinghui Wang and Huayan Zhu

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We prove the strong law of large numbers for weighted sums ∑i=1n aniXi, 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.

Date: 2013
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https://doi.org/10.1155/2013/947487

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:947487

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