| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 30, Number 6, December 2025
|
|
|---|---|---|
| Page(s) | 549 - 557 | |
| DOI | https://doi.org/10.1051/wujns/2025306549 | |
| Published online | 09 January 2026 | |
Mathematics
CLC number: O211.6
Complete Convergence for the Maximum Partial Sums of m-Widely Orthant Dependent Random Variables Sequences
m-宽相依随机变量序列最大部分和的完全收敛性
Department of Mathematics and Computer Science, Tongling University, Tongling 244000, Anhui, China
Received:
25
April
2025
In this paper, the author obtains complete convergence for the maximum partial sums of m-widely orthant dependent (m-WOD) random variables sequences under some general conditions. The results extend the complete convergence for m-WOD random variables to a much more general type complete convergence. As the sequences of m-WOD random variables represent a very broad class of dependent sequences, the results improve and generalize the corresponding ones in the literature.
摘要
本文在一般条件下获得了m-宽相依随机变量序列最大部分和的完全收敛性，为m-WOD随机变量建立了更广泛的完全收敛定理。m-宽相依随机变量序列包含多种类型的相依随机变量序列，因此，本文结论改进并推广了现有文献中的相关结果。
Key words: m-WOD random variables / complete convergence / Spitzer’s law of large numbers
关键字 : m-WOD随机变量序列 / 完全收敛性 / Spitzer’s大数定律
Cite this article: SONG Mingzhu. Complete Convergence for the Maximum Partial Sums of m-Widely Orthant Dependent Random Variables Sequences[J]. Wuhan Univ J of Nat Sci, 2025, 30(6): 549-557.
Biography: SONG Mingzhu, female, Professor, research direction: limit properties of stochastic processes. E-mail:This email address is being protected from spambots. You need JavaScript enabled to view it.
Foundation item: Supported by the Academic Funding Projects for Top Talents in Universities of Anhui Province (gxbjZD2022067), Talent Planning Project of Tongling University (2022tlxyrc32), and the Key Grant Project for Academic Leaders of Tongling University (2020tlxyxs31)
© Wuhan University 2025
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