Tony Cai's Biosketch

Education: Ph.D., Cornell University, 1996.

Academic Appointments:

  • Dorothy Silberberg Professor of Statistics, The Wharton School.
  • Professor, Applied Math. & Computational Science Graduate Group.
  • Associate Scholar, Dept. of Biostatistics & Epidemiology, School of Medicine.

Editorial Appointments:

  • Associate Editor, The Annals of Statistics
  • Associate Editor, Journal of the American Statistical Association
  • Associate Editor, Statistica Sinica
  • Associate Editor, Statistics Surveys
  • Guest Editor, Statistica Sinica Special Issue on Multiscale Methods
  • Guest Editor, J. Nonparametric Statistics Special Issue for the Inaugural IMS-China International Conference

Honors:

  • The 2008 COPSS Presidents' Award, Committee of Presidents of Statistical Societies, for outstanding contributions to statistics.
  • Fellow, Institute of Mathematical Statistics, 2006
  • Medallion Lecturer, Institute of Mathematical Statistics, 2009

Research Grants:

  • NSF grant DMS-0604954, 2006-2009.
    Theory and methodology for sparse inference
  • NSF grant DMS-0306576, 2003-2006.
    An adaptation theory for nonparametric function estimation.
  • NSF grant DMS-0072578, 2000-2003.
    Block thresholding methods for adaptive wavelet function estimation: Theory and applications.

Professional Society Membership:

  • Institute of Mathematical Statistics
  • American Statistical Association
  • International Chinese Statistical Association
Research Interests: My main research interests are large-scale multiple testing, high dimensional sparse inference, nonparametric function estimation, functional data analysis, inference for discrete distributions, and statistical decision theory. I am also interested in applications to chemical identification, medical imaging and microarray data analysis.

Selected Publications: (These and other papers are downloadable here.)

  • Sun, W. & Cai, T. (2008).
    Large-scale multiple testing under dependency.
    Journal of the Royal Statistical Society, Series B, to appear.
  • Wang, L., Brown, L. D., Cai, T. & Levine, M. (2008).
    Effect of mean on variance function estimation in nonparametric regression.
    The Annals of Statistics 36, 646-664.
  • Cai, T. & Zhou, H. (2007).
    A data-driven block thresholding approach to wavelet estimation.
    The Annals of Statistics , to appear.
  • Sun, W. & Cai, T. (2007).
    Oracle and adaptive compound decision rules for false discovery rate control.
    J. American Statistical Association 102, 901-912.
  • Cai, T. & Wang, L. (2007).
    Adaptive variance function estimation in heteroscedastic nonparametric regression.
    The Annals of Statistics, to appear.
  • Brown, L. D., Cai, T. & Zhou, H. (2007).
    Robust nonparametric estimation via wavelet median regression.
    The Annals of Statistics, to appear.
  • Cai, T. Jin, J. & Low, M. (2007).
    Estimation and confidence sets for sparse normal mixtures.
    The Annals of Statistics 35, 2421-2449.
  • Jin, J. & Cai, T. (2007).
    Estimating the null and the proportion of non-null effects in large-scale multiple comparisons.
    J. American Statistical Association 102, 495-506.
  • Cai, T. & Hall, P. (2006).
    Prediction in functional linear regression.
    The Annals of Statistics 34, 2159-2179.
  • Cai, T. & Low, M. (2006).
    Optimal adaptive estimation of a quadratic functional.
    The Annals of Statistics 34, 2298-2325.
  • Cai, T. & Low, M. (2006).
    Adaptive confidence balls.
    The Annals of Statistics 34, 202-228.
  • Cai, T. & Low, M. (2005).
    Non-quadratic estimators of a quadratic functional.
    The Annals of Statistics 33, 2930-2956.
  • Cai, T. & Low, M. (2005).
    On adaptive estimation of linear functionals.
    The Annals of Statistics 33, 2311-2343.
  • Cai, T. & Low, M. (2005).
    Nonparametric function estimation over shrinking neighborhoods: Superefficiency and adaptation.
    The Annals of Statistics 33, 184-213.
  • Cai, T. & Low, M. (2004).
    An adaptation theory for nonparametric confidence intervals.
    The Annals of Statistics 32, 1805-1840.
  • Cai, T. & Low, M. (2004).
    Minimax estimation of linear functionals over nonconvex parameter spaces.
    The Annals of Statistics 32, 552 - 576.
  • Cai, T. & Low, M. (2003).
    A note on nonparametric estimation of linear functionals.
    The Annals of Statistics 31, 1140-1153.
  • Brown, L.D., Cai, T., Low, M.G. & Zhang, C. (2002).
    Asymptotic equivalence theory for nonparametric regression with random design.
    The Annals of Statistics 30, 688-707.
  • Brown, L.D., Cai, T. & DasGupta, A. (2002).
    Confidence intervals for a binomial proportion and asymptotic expansions.
    The Annals of Statistics 30, 160-201.
  • Brown, L.D., Cai, T. & DasGupta, A. (2001).
    Interval estimation for a binomial proportion (with discussion).
    Statistical Science 16, 101-133.
  • Cai, T. (1999).
    Adaptive wavelet estimation: a block thresholding and oracle inequality approach.
    The Annals of Statistics 27, 898-924.
  • Cai, T. & Brown, L.D. (1998).
    Wavelet shrinkage for nonequispaced samples.
    The Annals of Statistics 26, 1783-1799.

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