Tony Cai

Tony Cai
  • Daniel H. Silberberg Professor in Applied Mathematics and Statistics
  • Vice Dean for China Initiatives, The Wharton School

Contact Information

  • office Address:

    469 Jon M. Huntsman Hall
    3730 Walnut Street
    Philadelphia, PA 19104

Research Interests: functional data analysis, high dimensional inference, large-scale multiple testing, nonparametric function estimation, statistical decision theory, wavelet methodology and applications

Links: Personal Website

Overview

Education

PhD, Cornell University, 1996

Career and Recent Professional Awards

The 2008 COPSS Presidents’ Award, Committee of Presidents of Statistical Societies
Medallion Lecturer, Institute of Mathematical Statistics, 2009
Fellow of the Institute of Mathematical Statistics (IMS).

Academic Positions Held

Wharton: 2000-present (named Dorothy Silberberg Professor, 2007).
Previous appointment: Purdue University

For more information, go to My Personal Page

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Research

Teaching

Current Courses

  • STAT972 - Adv Topics In Math Stat

    A continuation of STAT 970.

    STAT972401

Past Courses

  • STAT111 - INTRODUCTORY STATISTICS

    Introduction to concepts in probability. Basic statistical inference procedures of estimation, confidence intervals and hypothesis testing directed towards applications in science and medicine. The use of the JMP statistical package.

  • STAT430 - PROBABILITY

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

  • STAT431 - STATISTICAL INFERENCE

    Graphical displays; one- and two-sample confidence intervals; one- and two-sample hypothesis tests; one- and two-way ANOVA; simple and multiple linear least-squares regression; nonlinear regression; variable selection; logistic regression; categorical data analysis; goodness-of-fit tests. A methodology course. This course does not have business applications but has significant overlap with STAT 101 and 102.

  • STAT510 - 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.

  • STAT915 - 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.

  • STAT972 - ADV TOPICS IN MATH STAT

    A continuation of STAT 970.

  • STAT991 - 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.

  • STAT995 - DISSERTATION

  • STAT999 - INDEPENDENT STUDY

Awards and Honors

  • 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

Activity

Latest Research

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Awards and Honors

Hermann Otto Hirschfeld Lectures, Humboldt-Universitat zu Berlin 2012
All Awards