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Research Article | Open Access

Complete convergence of moving average processes produced by negatively dependent random variables under sub-linear expectations

School of Information Engineering, Jingdezhen Ceramic University, Jingdezhen, 333403, China
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Abstract

Suppose that { a i , < i < } is an absolutely summable set of real numbers, { Y i , < i < } is a subset of identically distributed, negatively dependent random variables under sub-linear expectations. Here, we get complete convergence and Marcinkiewicz-Zygmund strong law of large numbers for the partial sums of moving average processes { X n = i = a i Y i + n , n 1 } produced by { Y i , < i < } of identically distributed, negatively dependent random variables under sub-linear expectations, complementing the relevant results in probability space.

CLC number: 60F15, 60F05

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AIMS Mathematics
Pages 17067-17080

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Cite this article:
Xu M. Complete convergence of moving average processes produced by negatively dependent random variables under sub-linear expectations. AIMS Mathematics, 2023, 8(7): 17067-17080. https://doi.org/10.3934/math.2023871

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Received: 28 March 2023
Revised: 08 May 2023
Accepted: 08 May 2023
Published: 15 July 2023
©2023 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)