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- Qi-Man Shao

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
40
Citations
10,036
226
World Ranking
1347
National Ranking
67

- Statistics
- Normal distribution
- Random variable

Qi-Man Shao mostly deals with Random variable, Combinatorics, Applied mathematics, Mathematical analysis and Law of the iterated logarithm. His research integrates issues of Iterated logarithm and Distribution in his study of Random variable. His work carried out in the field of Combinatorics brings together such families of science as Gaussian process, Central limit theorem, Bounded function, Convergence of random variables and Independent and identically distributed random variables.

The study incorporates disciplines such as Estimator, Linear model, Statistics and Markov chain Monte Carlo in addition to Applied mathematics. His studies in Mathematical analysis integrate themes in fields like Martingale, Rate of convergence, Mathematical proof and Weak convergence. Qi-Man Shao works mostly in the field of Law of the iterated logarithm, limiting it down to concerns involving Zero and, occasionally, Upper and lower bounds, Generating function and Law of large numbers.

- Monte Carlo Methods in Bayesian Computation (682 citations)
- Monte Carlo Estimation of Bayesian Credible and HPD Intervals (569 citations)
- Normal Approximation by Stein's Method (349 citations)

Qi-Man Shao mainly focuses on Combinatorics, Applied mathematics, Random variable, Mathematical analysis and Statistics. His Combinatorics study combines topics in areas such as Self normalized, Distribution and Independent and identically distributed random variables. His study explores the link between Applied mathematics and topics such as Markov chain Monte Carlo that cross with problems in Gibbs sampling.

His work in Random variable tackles topics such as Central limit theorem which are related to areas like Pure mathematics. His Mathematical analysis research is multidisciplinary, incorporating elements of Fractional Brownian motion, Brownian motion and Gaussian process. His study looks at the relationship between Law of the iterated logarithm and topics such as Iterated logarithm, which overlap with Large deviations theory.

- Combinatorics (32.05%)
- Applied mathematics (27.41%)
- Random variable (26.64%)

- Applied mathematics (27.41%)
- Moderate deviations (11.20%)
- Combinatorics (32.05%)

His scientific interests lie mostly in Applied mathematics, Moderate deviations, Combinatorics, Self normalized and Random variable. In his works, Qi-Man Shao undertakes multidisciplinary study on Applied mathematics and Stein's method. His Combinatorics research includes themes of Distribution and Stationary sequence.

The various areas that he examines in his Self normalized study include Martingale, Independent and identically distributed random variables, Autoregressive model, Aperiodic graph and Random walk. The Random variable study combines topics in areas such as Sequence and Asymptotic distribution. His Concentration inequality research includes elements of Mathematical analysis and Moment.

- Phase transition and regularized bootstrap in large-scale $t$-tests with false discovery rate control (27 citations)
- Self-normalized Cramér-type moderate deviations under dependence (18 citations)
- Multivariate approximations in Wasserstein distance by Stein’s method and Bismut’s formula (15 citations)

- Statistics
- Normal distribution
- Mathematical analysis

Qi-Man Shao focuses on Applied mathematics, Stein's method, Moderate deviations, Random variable and Combinatorics. His Applied mathematics research incorporates elements of Covariate, Model selection, Spurious relationship, Covariance matrix and Statistics. His Statistics study which covers Linear combination that intersects with Spurious correlation and Empirical process.

The study of Random variable is intertwined with the study of Asymptotic distribution in a number of ways. In his study, which falls under the umbrella issue of Combinatorics, Dimension is strongly linked to Distribution. In his research on the topic of Self normalized, Concentration inequality and Moment is strongly related with Studentized range.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Monte Carlo Methods in Bayesian Computation

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

**(2000)**

1407 Citations

Monte Carlo Estimation of Bayesian Credible and HPD Intervals

Ming-Hui Chen;Qi-Man Shao.

Journal of Computational and Graphical Statistics **(1999)**

950 Citations

Normal Approximation by Stein's Method

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

**(2010)**

625 Citations

Gaussian processes: Inequalities, small ball probabilities and applications

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

Handbook of Statistics **(2001)**

496 Citations

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

Qi-Man Shao.

Journal of Theoretical Probability **(2000)**

479 Citations

Self-Normalized Processes: Limit Theory and Statistical Applications

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

**(2001)**

320 Citations

Weak convergence for weighted empirical processes of dependent sequences

Qi-Man Shao;Hao Yu.

Annals of Probability **(1996)**

253 Citations

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

Xuming He;Qi-Man Shao.

Annals of Statistics **(1996)**

248 Citations

A New Skewed Link Model for Dichotomous Quantal Response Data

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

Journal of the American Statistical Association **(1999)**

224 Citations

Self-normalized large deviations

Qi-Man Shao.

Annals of Probability **(1997)**

199 Citations

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