Tony Cai

• Tony Cai, Rungang Han, Anru Zhang (2022), On the Non-asymptotic Concentration of Heteroskedastic Wishart-type Matrix, Electronic Journal of Probability, 27 (), pp. 1-40.
• Anru Zhang, Tony Cai, Yihong Wu (2022), Heteroskedastic PCA: Algorithm, Optimality, and Applications, Annals of Statistics, 50 (1), pp. 53-80.
• Zijian Guo, Claude Renaux, Peter Bühlmann, Tony Cai (2021), Group Inference in High Dimensions with Applications to Hierarchical Testing, Electronic Journal of Statistics, 15 (), pp. 6633-6676.
• Tony Cai, Tiefeng Jiang, Xiaoou Li (Under Review), Asymptotic Analysis for Extreme Eigenvalues of Principal Minors of Random Matrices.
• Tony Cai and Hongji Wei (2020), Transfer Learning for Nonparametric Classification: Minimax Rate and Adaptive Classifier, Annals of Statistics, (to appear) ().
• Shulei Wang, Tony Cai, Hongzhe Li (2020), Optimal Estimation of Wasserstein Distance on A Tree with An Application to Microbiome Studies, Journal of the American Statistical Association, (to appear) ().
• Tony Cai and Yihong Wu (2020), Statistical and Computational Limits for Sparse Matrix Detection, Annals of Statistics, (to appear) ().
• Rong Ma, Tony Cai, Hongzhe Li (2020), Optimal Permutation Recovery in Permuted Monotone Matrix Model, Journal of the American Statistical Association, (to appear) ().
• Shulei Wang, Tony Cai, Hongzhe Li (2020), Hypothesis Testing for Phylogenetic Composition: A Minimum-cost Flow Perspective, Biometrika, (to appear) ().
• Tony Cai, Hongzhe Li, Rong Ma (Under Review), Optimal Structured Principal Subspace Estimation: Metric Entropy and Minimax Rates.
• All Research from Tony Cai »

Current Courses

• STAT4300 - Probability

  Discrete and continuous sample spaces and probability; random variables, distributions, independence; expectation and generating functions; Markov chains and recurrence theory.

  STAT4300001 ( Syllabus )

  STAT4300002 ( Syllabus )

  STAT4300003 ( Syllabus )

Past Courses

• AMCS5999 - Independent Study

  Independent Study allows students to pursue academic interests not available in regularly offered courses. Students must consult with their academic advisor to formulate a project directly related to the student’s research interests. All independent study courses are subject to the approval of the AMCS Graduate Group Chair.

• AMCS9999 - Ind Study & Research

  Study under the direction of a faculty member.

• STAT4300 - Probability

  Discrete and continuous sample spaces and probability; random variables, distributions, independence; expectation and generating functions; Markov chains and recurrence theory.

• STAT5100 - Probability

  Elements of matrix algebra. Discrete and continuous random variables and their distributions. Moments and moment generating functions. Joint distributions. Functions and transformations of random variables. Law of large numbers and the central limit theorem. Point estimation: sufficiency, maximum likelihood, minimum variance. Confidence intervals. A one-year course in calculus is recommended.

• STAT9150 - Nonparametric Inference

  Statistical inference when the functional form of the distribution is not specified. Nonparametric function estimation, density estimation, survival analysis, contingency tables, association, and efficiency.

• STAT9720 - Adv Topics in Math Stat

  A continuation of STAT 9700.

• STAT9910 - Sem in Adv Appl of Stat

  This seminar will be taken by doctoral candidates after the completion of most of their coursework. Topics vary from year to year and are chosen from advance probability, statistical inference, robust methods, and decision theory with principal emphasis on applications.

• STAT9950 - Dissertation

  Dissertation

• STAT9990 - Independent Study

  Written permission of instructor and the department course coordinator required to enroll.

• Peter Whittle Lecture, Cambridge University, 2018
• Hermann Otto Hirschfeld Lectures, Humboldt-Universitat zu Berlin, 2012
• Forum Lecture, 28th European Meeting of Statisticians, Piraeus, Greece, 2010
• Medallion Lecturer, Institute of Mathematical Statistics, 2009
• The COPSS Presidents' Award, Committee of Presidents of Statistical Societies, 2008
• Fellow, Institute of Mathematical Statistics, 2006
• International Chinese Statistical Association Outstanding Service Award, 1970
• International Chinese Statistical Association Distinguished Achievement Award, 1970
• Laplace Lecture, Bernoulli Society, 10th World Congress in Probability & Statistics, 1970
• International Chinese Statistical Association Distinguished Achievement Award, 1970

Knowledge @ Wharton

• Building Stronger Family Offices by Sharing Knowledge and Securing the Future, Knowledge @ Wharton - 11/21/2024
• State of the NBA with Seth Partnow, Knowledge @ Wharton - 11/20/2024
• How Are Companies Really Using AI? A New Report Has Answers, Knowledge @ Wharton - 11/19/2024
• Impact vs. Time: A Leader’s Guide to Slow Productivity, Knowledge @ Wharton - 11/19/2024
• Kevin O’Leary Illustrates the Benefits of Tariffs for U.S. Businesses, Knowledge @ Wharton - 11/19/2024
• Boosting Donations Through Self-expressive Choices | Jonah Berger, Knowledge @ Wharton - 11/19/2024
• Why Are Hospitals So Expensive?, Knowledge @ Wharton - 11/18/2024
• New Phenomena in Behavioral and Social Investing, Knowledge @ Wharton - 11/18/2024
• Bigger Hospitals, Better Care? Wharton Research Finds Benefits Are Only at the Operational Level, Knowledge @ Wharton - 11/14/2024
• College Football with Ken Pomeroy, Knowledge @ Wharton - 11/13/2024