ALMOST SURE CONVERGENCE OF WEIGHTED SUMS FOR WIDELY NEGATIVE DEPENDENT RANDOM VARIABLES UNDER SUB-LINEAR EXPECTATIONS

다국어 초록 (Multilingual Abstract)

The sub-linear expectation space is a nonlinear expectation space having advantages of modeling the uncertainty of probability and statistics. In this paper we study the almost sure convergence for weighted sums of widely negative dependent random variables in the sub-linear expectation spaces. An almost sure convergence theorem is obtained for weighted sums of widely negative dependent random variables under sub-linear expectations. Our results extend and generalize the corresponding ones of Hu and Wu(2021) to widely negative dependent random variables under sub-linear expectation.

참고문헌 (Reference)

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