title: Further research on complete moment convergence for moving average process of a class of random variables.
abstract: In this article, the complete moment convergence for the partial sum of moving average processes [Formula: see text] is established under some mild conditions, where [Formula: see text] is a doubly infinite sequence of random variables satisfying the Rosenthal type maximal inequality and [Formula: see text] is an absolutely summable sequence of real numbers. These conclusions promote and improve the corresponding results given by Ko (J. Inequal. Appl. 2015:225, 2015).
authors.affiliation: College of Mathematics, Jilin University, Changchun, 130012 P.R. China.
authors.forename: Yong
authors.identifier: 0000-0003-4443-812X
authors.initials: Y
authors.lastname: Zhang
authors.affiliation: College of Mathematics, Jilin University, Changchun, 130012 P.R. China.
authors.forename: Xue
authors.initials: X
authors.lastname: Ding
keywords: Rosenthal type maximal inequality; complete moment convergence; moving average process; slowly varying function