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

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Showing 2024Show all

4 papers · 1 filter

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…

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

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