Complete moment convergence for widely orthant dependent random variables

Abstract

The author studies the complete moment convergence for widely orthant dependent random variables. The obtained result in this paper improves the corresponding one of Chen and Sung [A Spitzer-type law of large numbers for widely orthant dependent random variables, Statist. Probab. Lett. 154 (2019), pp. 108544] by obtaining a much stronger conclusion under the same conditions.

KEYWORDS:

• Widely orthant dependent
• complete moment convergence
• Spitzer's law of large numbers

MATHEMATICS SUBJECT CLASSIFICATION:

• 60F15

Acknowledgments

The author is very grateful to the referee for carefully reading the manuscript and for providing some valuable comments and suggestions which led to improvements in the paper.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Correction Statement

This article has been corrected with minor changes. These changes do not impact the academic content of the article.

Additional information

Funding

The research of Y. Wu was supported by the Key Projects of Science Research in University of Anhui Province [grant number 2022AH040248], the Academic Funding Projects for Top Talents in Universities of Anhui Province [grant number gxbjZD2021078], the Major Project for Academic Leaders of Tongling University [grant number 2020tlxyxs09] and the Quality Engineering Project of Anhui Province [grant number 2023cxtd092].