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 »

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.

• AMCS9950 - Dissertation

  Allows for a PhD student to be enrolled full-time to work exclusively on research, writing and preparing his/her doctoral thesis and defense. All required coursework (20 CUs) must be completed, and the student must have passed his/her thesis proposal/oral candidacy examination prior to being enrolled.

• AMCS9990 - Masters Thesis

  For students writing a Master's Thesis to fulfill the program's requirements. All required coursework (8 CUs) must be completed prior to being enrolled.

• 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.

• STAT9720 - Adv Topics in Math Stat

  A continuation of STAT 9700.

• STAT9910 - Sem in Adv Appl of Stat

  This seminar is for graduate students who wish to learn about current research frontiers. It covers advanced topics in probability, statistical theory and methods, applied statistics, data science and artificial intelligence. Specific topics vary from year to year and emphasize both theoretical foundations and applications.

• STAT9950 - Dissertation

  Dissertation

• Leo Breiman Senior Award, 2026
• Fellow, American Association for the Advancement of Science, 2023
• 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 Distinguished Achievement Award, 1970
• Laplace Lecture, Bernoulli Society, 10th World Congress in Probability & Statistics, 1970
• International Chinese Statistical Association Distinguished Achievement Award, 1970
• International Chinese Statistical Association Outstanding Service Award, 1970

Knowledge @ Wharton

• How Forced Labor Scrutiny Shapes Supply Chain Transparency, Knowledge @ Wharton - 06/23/2026
• The Science of Perfect Timing: Using Chronobiology, Knowledge @ Wharton - 06/23/2026
• Would You Trust AI for Ethical Advice?, Knowledge @ Wharton - 06/23/2026
• The Business of National Reputation, Knowledge @ Wharton - 06/23/2026
• Peanut Butter Raises and the Pay Equity Debate, Knowledge @ Wharton - 06/19/2026
• How Liquid Death Builds Marketing That Wins the Internet, Knowledge @ Wharton - 06/18/2026
• SpaceX’s Historic IPO and the Future of Space, Knowledge @ Wharton - 06/17/2026
• What Unexpected Champions Teach Us About Sports, Knowledge @ Wharton - 06/17/2026
• How Mortgage Lock-In Is Quietly Pushing Up House Prices, Knowledge @ Wharton - 06/16/2026
• Does Q&A Boost Engagement?, Knowledge @ Wharton - 06/16/2026