Complete moment convergence for moving average process based on m-WOD random variables

Rui Wang and Aiting Shen

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 19, 7041-7056

Abstract: In this paper, some results on complete moment convergence of moving average process generated by m-WOD random variables are established. The results improve and extend some corresponding ones in the literature. As corollaries, two new results on Marcinkiewicz-Zygmund type strong law of large numbers are established for moving average processes generated by m-WOD random variables and respectively, m-END random variables.

Date: 2023
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DOI: 10.1080/03610926.2022.2037649

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