2026 Qi-Man Shao: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	49	1128	960	60	58	243	12068

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

1128

960

243

12068

Overview

Qi-Man Shao is affiliated with the Chinese University of Hong Kong in China. Their research primarily spans the field of Mathematics, with a focus on Statistics and Probability, Finance, Management Science and Operations Research, Mathematical Physics, and Artificial Intelligence. The scientist's work addresses a range of complex mathematical and statistical problems, often involving stochastic processes and their applications.

Key topics covered in their research include:

Random Matrices and Applications
Stochastic processes and financial applications
Statistical Methods and Inference
Probability and Risk Models
Markov Chains and Monte Carlo Methods
Stochastic processes and statistical mechanics
Financial Risk and Volatility Modeling

Qi-Man Shao has contributed significantly to various scientific publications, with a strong presence in the following venues:

arXiv (Cornell University)
Bernoulli
The Annals of Statistics
Science China Mathematics
Stochastic Processes and their Applications

The scientist regularly collaborates with other researchers. Frequent co-authors include Xiequan Fan, Songhao Liu, Zhuo-Song Zhang, Xiao Fang, and Dennis Y.C. Leung.

Some of the recent papers authored by Qi-Man Shao and associates are:

"Cramér's moderate deviations for martingales with applications," 2024, Annales de l Institut Henri Poincaré Probabilités et Statistiques
"Cramér's moderate deviations for martingales with applications," 2022, arXiv (Cornell University)
"Berry-Esseen bounds for multivariate nonlinear statistics with applications to M-estimators and stochastic gradient descent algorithms," 2022, Bernoulli
"A refined Cramér-type moderate deviation for sums of local statistics," 2020, Bernoulli
"Self-normalized Cramér type moderate deviations for stationary sequences and applications," 2020, Stochastic Processes and their Applications

Best Publications

Monte Carlo Methods in Bayesian Computation

Ming-Hui Chen;Qi-Man Shao;Joseph George Ibrahim

1462
Citations
Monte Carlo Estimation of Bayesian Credible and HPD Intervals

Ming-Hui Chen;Qi-Man Shao

1318
Citations
Normal Approximation by Stein's Method

Louis H. Y. Chen;Larry Joel Goldstein;Qi-Man Shao

776
Citations
Gaussian processes: Inequalities, small ball probabilities and applications

W.V. Li;Q.-M. Shao

559
Citations
A Comparison Theorem on Moment Inequalities Between Negatively Associated and Independent Random Variables

Qi-Man Shao

512
Citations
Self-Normalized Processes: Limit Theory and Statistical Applications

Víctor De la Peña;Tze Leung Lai;Qi-Man Shao

340
Citations
A general bahadur representation of M-estimators and its application to linear regression with nonstochastic designs

Xuming He;Qi-Man Shao

273
Citations
Weak convergence for weighted empirical processes of dependent sequences

Qi-Man Shao;Hao Yu

265
Citations
A New Skewed Link Model for Dichotomous Quantal Response Data

Ming-Hui Chen;Dipak K. Dey;Qi-Man Shao

250
Citations
On Parameters of Increasing Dimensions

Xuming He;Qi-Man Shao

228
Citations
Normal approximation under local dependence

Louis H. Y. Chen;Qi-Man Shao

226
Citations
Self-normalized Cramér-type large deviations for independent random variables

Bing Yi Jing;Qiman Shao;Qiying Wang

221
Citations
Self-normalized large deviations

Qi-Man Shao

213
Citations
On discriminating between long-range dependence and changes in mean

István Berkes;Lajos Horváth;Piotr Kokoszka;Qi-Man Shao

183
Citations
Stein's method for normal approximation

Louis H. Y. Chen;Qi-Man Shao

182
Citations
The law of the iterated logarithm for negatively associated random variables

Qi-Man Shao;Chun Su

173
Citations
Almost sure invariance principles for mixing sequences of random variables

Qi-Man Shao

170
Citations
On Monte Carlo methods for estimating ratios of normalizing constants

Ming-Hui Chen;Qi-Man Shao

168
Citations
A non-uniform Berry–Esseen bound via Stein's method

Louis H.Y. Chen;Qi-Man Shao

166
Citations
Nonnormal approximation by Stein’s method of exchangeable pairs with application to the Curie–Weiss model

Sourav Chatterjee;Qi-Man Shao

158
Citations
A normal comparison inequality and its applications

Wenbo V Li;Qi-Man Shao

135
Citations

Frequent Co-Authors

Ming-Hui Chen University of Connecticut

Tze Leung Lai Stanford University

Joseph G. Ibrahim University of North Carolina at Chapel Hill

Lajos Horváth University of Utah

Amir Dembo Stanford University

Bing-Yi Jing Hong Kong University of Science and Technology

Ofer Zeitouni Weizmann Institute of Science

Magda Peligrad University of Cincinnati

Xuming He Washington University in St. Louis

Bjorn Poonen MIT

External Links

Personal website of Qi-Man Shao Google Scholar page

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