Complete convergence for weighted sums of widely negative orthant dependent random variables under the sub-linear expectations

Abstract.

In this article, we study and establish complete convergence for widely negative orthant dependent random variables under the sub-linear expectations, which extend some complete convergence theorems for widely negative orthant dependent random variables from the classical probability space to sub-linear expectation space.

Keywords:

• Complete convergence
• the weighted sums
• widely negative orthant dependent random variables
• sub-linear expectations

2000 MSC::

• 60F15

Disclosure Statement

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

Additional information

Funding

This paper was supported by the National Natural Science Foundation of China (12061028, 12361031).