On Complete Convergence for Nonstationary ϕ-Mixing Random Variables

Aiting Shen, Xinghui Wang and Jimin Ling

Communications in Statistics - Theory and Methods, 2014, vol. 43, issue 22, 4856-4866

Abstract: In this article, we study the complete convergence for non-stationary ϕ-mixing random variables, especially, we get the Baum-Katz-type Theorem and Hsu-Robbins-type Theorem for ϕ-mixing random variables. Our result generalizes the corresponding one of Shao (1988) and improves the corresponding one of Peligrad (1985a) and Wang (1987).

Date: 2014
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DOI: 10.1080/03610926.2012.725501

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