3 papers
math.PR2025
On the Law of the Iterated Logarithm for m-dependent stationary random variables under sub-linear expectations
Wang-Yun Gu, Li-Xin Zhang
This paper explores the Law of the Iterated Logarithm (LIL) for -dependent sequences under the framework of sub-linear expectations. We first extend existing LIL results to sequ…
math.PR2024
Strong law of large numbers for -dependent and stationary random variables under sub-linear expectations
Wang-Yun Gu, Li-Xin Zhang
The arm of this paper is to establish the strong law of large numbers (SLLN) of -dependent random variables under the framework of sub-linear expectations. We establish the SLLN…
math.PR2021
The sufficient and necessary conditions of the strong law of large numbers under the sub-linear expectations
Li-Xin Zhang
In this paper, by establishing a Borel-Cantelli lemma for a capacity which is not necessarily continuous, and a link between a sequence of independent random variables under the su…