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).
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