Mingchuan Zhao

collaborators

2 papers

math.PR2022

CLT, MDP and LDP for Range-Renewals of I.I.D.Samplings from an Infinite Discrete Distribution

Xin-Xing Chen, Jian-Sheng Xie, Min-Zhi Zhao

Let $R_{n}$ be the number of distinct values of the $n$ simple samples from an infinite discrete distribution. In 1960 Bahadure proved $\displaystyle \lim_{n\to \infty} \frac{R_n}{\E…

math.PR2020

Minimal L^p-Densities with Prescribed Marginals

Paolo Guasoni, Eberhard Mayerhofer, Mingchuan Zhao

We derive sharp lower bounds for L^p-functions on the n-dimensional unit hypercube in terms of their p-th marginal moments. Such bounds are the unique solutions of a system of cons…