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Complete moment convergence of moving-average process generated by a class of random variables

Yang Ding, Xuefei Tang, Hui Wang and Xuejun Wang

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 22, 10903-10913

Abstract: In this article, we establish the complete moment convergence of a moving-average process generated by a class of random variables satisfying the Rosenthal-type maximal inequality and the week mean dominating condition. On the one hand, we give the correct proof for the case p = 1 in Ko (2015); on the other hand, we also consider the case αp = 1 which was not considered in Ko (2015). The results obtained in this article generalize some corresponding ones for some dependent sequences.

Date: 2017
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DOI: 10.1080/03610926.2016.1252401

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