Qi-Man Shao

activity

20242026

collaborators

Showing 2026Show all

2 papers · 1 filter

math.PR2026

Berry-Esseen bounds for products of random matrices under a $2 + δ$ polynomial moment

Zhi-Jun Cai, Qi-Man Shao, Hui Xiao +1

Let $(g_{k})_{k \geq 1}$ be a sequence of independent and identically distributed matrices with law $μ$ on $GL (d, R)$ , where $d \geq 2$ is an integer. Suppose that t…

math.PR2026

Refined Berry-Esseen bounds under local dependence

Zhi-Jun Cai, Qi-Man Shao, Zhuo-Song Zhang

In this paper, we establish Berry--Esseen bounds for both self-normalized and non-self-normalized sums of locally dependent random variables. The proofs are based on Stein's method…

Berry-Esseen bounds for products of random matrices under a 2+δ polynomial moment

Refined Berry-Esseen bounds under local dependence

Berry-Esseen bounds for products of random matrices under a $2 + δ$ polynomial moment