World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
49
Citations
12068
World Ranking
1128
National Ranking
60

Qi-Man Shao publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Qi-Man Shao sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 243 publications — 75th percentile

75% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Qi-Man Shao D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Qi-Man Shao sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 49 D-Index — 69th percentile

69% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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

  • Monte Carlo Estimation of Bayesian Credible and HPD Intervals

    Ming-Hui Chen;Qi-Man Shao

  • Normal Approximation by Stein's Method

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

  • Gaussian processes: Inequalities, small ball probabilities and applications

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

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

    Qi-Man Shao

  • Self-Normalized Processes: Limit Theory and Statistical Applications

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

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

    Xuming He;Qi-Man Shao

  • Weak convergence for weighted empirical processes of dependent sequences

    Qi-Man Shao;Hao Yu

  • A New Skewed Link Model for Dichotomous Quantal Response Data

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

  • On Parameters of Increasing Dimensions

    Xuming He;Qi-Man Shao

  • Normal approximation under local dependence

    Louis H. Y. Chen;Qi-Man Shao

  • Self-normalized Cramér-type large deviations for independent random variables

    Bing Yi Jing;Qiman Shao;Qiying Wang

  • Self-normalized large deviations

    Qi-Man Shao

  • On discriminating between long-range dependence and changes in mean

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

  • Stein's method for normal approximation

    Louis H. Y. Chen;Qi-Man Shao

  • The law of the iterated logarithm for negatively associated random variables

    Qi-Man Shao;Chun Su

  • Almost sure invariance principles for mixing sequences of random variables

    Qi-Man Shao

  • On Monte Carlo methods for estimating ratios of normalizing constants

    Ming-Hui Chen;Qi-Man Shao

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

    Louis H.Y. Chen;Qi-Man Shao

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

    Sourav Chatterjee;Qi-Man Shao

  • A normal comparison inequality and its applications

    Wenbo V Li;Qi-Man Shao

Frequent Co-Authors

Ming-Hui Chen
Ming-Hui Chen University of Connecticut
Tze Leung Lai
Tze Leung Lai Stanford University
Joseph G. Ibrahim
Joseph G. Ibrahim University of North Carolina at Chapel Hill
Lajos Horváth
Lajos Horváth University of Utah
Amir Dembo
Amir Dembo Stanford University
Bing-Yi Jing
Bing-Yi Jing Hong Kong University of Science and Technology
Ofer Zeitouni
Ofer Zeitouni Weizmann Institute of Science
Magda Peligrad
Magda Peligrad University of Cincinnati
Xuming He
Xuming He Washington University in St. Louis

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