| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 27, Number 5, October 2022
|
|
|---|---|---|
| Page(s) | 396 - 404 | |
| DOI | https://doi.org/10.1051/wujns/2022275396 | |
| Published online | 11 November 2022 | |
Mathematics
CLC number: O 211.6
Complete qth-Moment Convergence of Moving Average Process for m-WOD Random Variable
Department of Mathematics and Computer Science, Tongling University, Tongling 244000, Anhui, China
Received:
31
August
2021
In this paper, we obtained complete qth-moment convergence of the moving average processes, which is generated by m-WOD moving random variables. The results in this article improve and extend the results of the moving average process. m-WOD random variables include WOD, m-NA, m-NOD and m-END random variables, so the results in the paper also promote the corresponding ones in WOD, m-NA, m-NOD, m-END random variables .
Key words: m-WOD random variable / moving average processes / complete convergence / complete qth-moment convergence
Biography: SONG Mingzhu, female, Master, Professor, research direction: limit properties of stochastic processes. E-mail:songmingzhu2006@126.com
Fundation item: Supported by the Academic Funding Projects for Top Talents in Universities of Anhui Province(gxbjZD2022067, gxbjZD2021078), and the Philosophy and Social Sciences Planning Project of Anhui Province (AHSKY2018D98)
© Wuhan University 2022
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