Mingzhou Xu

activity

20212025

most citedConvergence for sums of i. i. d. random variables under sublinear expectations

16 citations · 19 across the 9 of their papers we have counts for

collaborators

9 papers

math.PR2025

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

Xu Mingzhou, Yang Jinjin

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

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 Fejér's theorem about Fourier series, we obtain two formulae related to the series representations of positive integral powers of $π$ . We also check th…

math.PR2024

Note on the complete moment convergence for moving average process of a class of random variables under sub-linear expectations

Mingzhou Xu

In this paper, the complete moment convergence for the partial sums of moving average processes ${X_{n} = \sum_{i = - \infty}^{\infty} a_{i} Y_{i + n}, n \geq 1}$ is proved under some proper con…

math.PR2024★ 1 cited

Complete moment convergence of moving average processes for $m$ -widely acceptable sequence under sub-linear expectations

Mingzhou Xu, Xuhang Kong

In this article, the complete moment convergence for the partial sum of moving average processes ${X_{n} = \sum_{i = - \infty}^{\infty} a_{i} Y_{i + n}, n \geq 1}$ is estabished under some prope…

math.PR2022

Limiting behaviour of moving average processes genenrated by negatively dependent random variables under sub-linear expectations

Mingzhou Xu, Kun Cheng, Wangke Yu

Let ${Y_{i}, - \infty < i < \infty}$ be a doubly infinite sequence of identically distributed, negatively dependent random variables under sub-linear expectations, $\{a_i,-\infty<i<\inft…

math.PR2021

Equivalent conditions of complete $p$ -th moment convergence for weighted sums of i. i. d. random variables under sublinear expectations

MIngzhou Xu, Kun Cheng

We investigate the complete $p$ -th moment convergence for weighted sums of independent, identically distributed random variables under sublinear expectations space. Using moment in…

math.PR2021★ 2 cited

Equivalent conditions of complete convergence for weighted sums of sequences of i. i. d. random variables under sublinear expectations

Mingzhou Xu, Kun Cheng

The complete convergence for weighted sums of sequences of independent, identically distributed random variables under sublinear expectations space was studied. By moment inequalit…

math.PR2021★ 16 cited

Convergence for sums of i. i. d. random variables under sublinear expectations

Mingzhou Xu, Kun Cheng

In this paper, we prove the equivalent conditions of complete moment convergence of the maximum for partial weighted sums of independent, identically distributed random variables u…

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

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

Series representations of positive integral powers of pi

Note on the complete moment convergence for moving average process of a class of random variables under sub-linear expectations

Complete moment convergence of moving average processes for m-widely acceptable sequence under sub-linear expectations

Limiting behaviour of moving average processes genenrated by negatively dependent random variables under sub-linear expectations

Equivalent conditions of complete p-th moment convergence for weighted sums of i. i. d. random variables under sublinear expectations

Equivalent conditions of complete convergence for weighted sums of sequences of i. i. d. random variables under sublinear expectations

Convergence for sums of i. i. d. random variables under sublinear expectations

Complete moment convergence of moving average processes for $m$ -widely acceptable sequence under sub-linear expectations

Equivalent conditions of complete $p$ -th moment convergence for weighted sums of i. i. d. random variables under sublinear expectations