Mingzhou Xu

collaborators

3 papers

math.PR2025

Note on an intermediate Baum-Katz theorems under sub-linear expectations

Xu Mingzhou, Yang Jinjin

We study the Hsu-Robbins-ErdÃ¶s theorem to the case when all moments under sub-linear expectations exist, but the moment generating function does not, viz, we suppose that $C_{\mat…

math.PR2024

Convergence rate in the law of logarithm for negatively dependent random variables under sub-linear expectations

Mingzhou Xu, Wei Wang

Let ${X, X_{n}, n \geq 1}$ be a sequence of identically distributed, negatively dependent (NA) random variables under sub-linear expectations, and denote $S_{n} = \sum_{i = 1}^{n} X_{i}$ , $n\ge…

math.GM2024

Series representations of positive integral powers of pi

Mingzhou Xu

Using a pointwise version of FejÃ©r's theorem about Fourier series, we obtain two formulae related to the series representations of positive integral powers of $I ¨ $ . We also check…