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Research Article | Open Access

Note on the complete moment convergence of maximal partial sums for moving average process under sublinear expectations

Mingzhou Xu( )Wei Wang
School of Information Engineering, Jingdezhen Ceramic University, Jingdezhen, 333403, China
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Abstract

In this paper, the complete moment convergence for the maximal partial sums of moving average processes generated by { Y i , < i < } is proved under conditions that C V ( | Y 1 | p ( 1 l ( f 1 ( Y 1 ) ) ) ) < , where f 1 is the inverse function of f, and { Y i , < i < } is a double sequence of identically distributed, negatively dependent random variables under sublinear expectations. The results established in sublinear expectation spaces complement and extend the corresponding ones in probability space in some extent.

CLC number: 60F05, 60F15

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AIMS Mathematics
Pages 13090-13109

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Cite this article:
Xu M, Wang W. Note on the complete moment convergence of maximal partial sums for moving average process under sublinear expectations. AIMS Mathematics, 2026, 11(5): 13090-13109. https://doi.org/10.3934/math.2026539

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Received: 28 February 2026
Revised: 20 April 2026
Accepted: 28 April 2026
Published: 15 May 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)