Papers & Technical Reports by Topics
(Papers in Chronicle Order)

T. Tony Cai

(Some papers are cross-listed under two categories.)
    Large-Scale Multiple Testing

  1. Cai, T. & Jin, J. (2008).
    Optimal rates of convergence for estimating the null and proportion of non-null effects in large-scale multiple testing.
    Technical report.

  2. Sun, W. and Cai, T. (2008).
    Large-scale multiple testing under dependency.
    Technical Report.

  3. Sun, W. & Cai, T. (2007).
    Oracle and adaptive compound decision rules for false discovery rate control.
    J. American Statistical Association 102, 901-912.

  4. 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.

  5. Cai, T. (2008).
    Discussion of "Microarrays, Empirical Bayes, and the Two-Group Model" by Bradley Efron.
    Statistical Science 23, 29-33.

    High-Dimensional Sparse Inference

  6. Cai, T., Xu, G. and Zhang, J. (2008).
    On recovery of sparse signals via l1 minimization
    Technical Report.

  7. Cai, T. Jin, J. & Low, M. (2007).
    Estimation and confidence sets for sparse normal mixtures.
    The Annals of Statistics 35, 2421-2449.

  8. Cai, T. & Lv, J. (2007).
    Discussion of "The Dantzig Selector: Statistical estimation when p is much larger than n" by E. Candes and T. Tao.
    The Annals of Statistics 35, 2365-2369.

    Nonparametric Functional Inference

    Wavelet Thresholding: Methodology & Theory

  9. Cai, T. & Zhou, H. (2008).
    Asymptotic equivalence and adaptive estimation for robust nonparametric regression.
    Technical report.

  10. Brown, L. D., Cai, T. & Zhou, H. (2008).
    Nonparametric regression in exponential families.
    Technical report.

  11. Cai, T. & Wang, L. (2007).
    Adaptive variance function estimation in heteroscedastic nonparametric regression.
    The Annals of Statistics, to appear.

  12. Brown, L. D., Cai, T. & Zhou, H. (2007).
    Robust nonparametric estimation via wavelet median regression.
    The Annals of Statistics, to appear.

  13. Brown, L. D., Cai, T., Zhang, R., Zhao, L. & Zhou, H. (2007).
    The root-unroot algorithm for density estimation as implemented via wavelet block thresholding.
    Technical Report.

  14. Cai, T. & Zhou, H. (2007).
    A data-driven block thresholding approach to wavelet estimation.
    The Annals of Statistics , to appear.

  15. Chicken, E. & Cai, T. (2005).
    Block thresholding for density estimation: Local and global adaptivity.
    J. Multivariate Analysis 95, 76-106.

  16. Cai, T. (2003).
    Rates of convergence and adaptation over Besov spaces under pointwise risk.
    Statistica Sinica 13, 881-902.

  17. Cai, T. (2002).
    On adaptive wavelet estimation of a derivative and other related linear inverse problems.
    J. Statistical Planning and Inference 108, 329-349.

  18. Cai, T. (2002).
    On block thresholding in wavelet regression: Adaptivity, block size, and threshold level.
    Statistica Sinica 12, 1241-1273.

  19. Cai, T. (2001).
    Invited discussion on "regularization of wavelets approximations" by A. Antoniadis and J. Fan.
    J. American Statistical Association 96, 960-962.

  20. Cai, T., Zhang, D. & Ben-Amotz, D. (2001).
    Enhanced chemical classification of Raman images using wavelet transformation.
    Applied Spectroscopy 55, 1124-1130.

  21. Cai, T. & Silverman, B.W. (2001).
    Incorporating information on neighboring coefficients into wavelet estimation.
    Sankhya 63, 127-148.

  22. Cai, T., Low, M. & Zhao, L. (2000).
    Sharp adaptive estimation by a blockwise method.
    Technical Report.

  23. Cai, T. (1999).
    Adaptive wavelet estimation: a block thresholding and oracle inequality approach.
    The Annals of Statistics 27, 898-924.

  24. Cai, T. & Brown, L.D. (1999).
    Wavelet estimation for samples with random uniform design.
    Statistics and Probability Letters 42, 313-321.

  25. Cai, T. & Brown, L.D. (1998).
    Wavelet shrinkage for nonequispaced samples.
    The Annals of Statistics 26, 1783-1799.

    Functional Data Analysis

  26. Cai, T. & Zhou, H. (2008).
    Adaptive functional linear regression.
    Technical report.

  27. Cai, T. & Hall, P. (2006).
    Prediction in functional linear regression.
    The Annals of Statistics 34, 2159-2179.

    Estimation of Linear Functionals

  28. Cai, T. & Low, M. (2006).
    Adaptation under probabilistic error for estimating linear functionals.
    J. Multivariate Analysis 97, 231-245.

  29. Cai, T. & Low, M. (2005).
    On adaptive estimation of linear functionals.
    The Annals of Statistics 33, 2311-2343.

  30. Cai, T. & Low, M. (2005).
    Adaptive estimation of linear functionals under different performance measures.
    Bernoulli 11, 341-358.

  31. Cai, T. & Low, M. (2004).
    An adaptation theory for nonparametric confidence intervals.
    The Annals of Statistics 32, 1805-1840.

  32. Cai, T. & Low, M. (2004).
    Minimax estimation of linear functionals over nonconvex parameter spaces.
    The Annals of Statistics 32, 552 - 576.

  33. Cai, T. & Low, M. (2003).
    A note on nonparametric estimation of linear functionals.
    The Annals of Statistics 31, 1140-1153.

  34. Cai, T. & Low, M. (2002).
    On modulus of continuity and adaptability in nonparametric functional estimation.
    Technical Report.

    Quadratic Functional & Confidence Balls

  35. Cai, T. & Low, M. (2006).
    Optimal adaptive estimation of a quadratic functional.
    The Annals of Statistics 34, 2298-2325.

  36. Cai, T. & Low, M. (2006).
    Adaptive confidence balls.
    The Annals of Statistics 34, 202-228.

  37. Cai, T. & Low, M. (2005).
    Non-quadratic estimators of a quadratic functional.
    The Annals of Statistics 33, 2930-2956.

    Variance Estimation

  38. 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.

  39. Cai, T., Munk, A. and Schmidt-Hieber, J. (2008).
    Sharp minimax estimation of the variance of Brownian motion corrupted with Gaussian noise.
    Technical Report.

  40. Cai, T. & Wang, L. (2007).
    Adaptive variance function estimation in heteroscedastic nonparametric regression.
    The Annals of Statistics , to appear.

  41. Cai, T., Levine, M. & Wang, L. (2006).
    Variance function estimation in multivariate nonparametric regression.
    J. Multivariate Analysis, to appear.

    Function Estimation Theory

  42. Cai, T. & Zhou, H. (2008).
    Asymptotic equivalence and adaptive estimation for robust nonparametric regression.
    Technical report.

  43. Cai, T. (2007).
    Minimax and adaptive inference in nonparametric function estimation.
    Technical Report.

  44. Cai, T., Low, M. & Zhao, L. (2007).
    Tradeoffs between global and local risks in nonparametric function estimation.
    Bernoulli 13, 1-19.

  45. Cai, T. & Hall, P. (2006).
    Prediction in functional linear regression.
    The Annals of Statistics 34, 2159-2179.

  46. Cai, T. (2006).
    On information pooling, adaptability and superefficiency in nonparametric function estimation.
    J. Multivariate Analysis 99, 412-436.

  47. Cai, T. & Low, M. (2005).
    Nonparametric function estimation over shrinking neighborhoods: Superefficiency and adaptation.
    The Annals of Statistics 33, 184-213.

  48. Cai, T. (2003).
    Rates of convergence and adaptation over Besov spaces under pointwise risk.
    Statistica Sinica 13, 881-902.

  49. 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.

    Inference for Discrete Distributions

  50. Cai, T. & Wang, H. (2007).
    Probability matching tolerance intervals for distributions in exponential families.
    Statistica Sinica , to appear.

  51. Cai, T. (2005).
    One-sided confidence intervals in discrete distributions.
    J. Statistical Planning and Inference 131, 63-88.

  52. Brown, L.D., Cai, T. & DasGupta, A. (2005).
    Discussion of "fuzzy and randomized confidence intervals and p-values" by C. J. Geyer and G. D. Meeden.
    Statistical Science 20, 375-379.

  53. Brown, L.D., Cai, T. & DasGupta, A. (2003).
    Interval estimation in exponential families.
    Statistica Sinica 13 , 19-49.

  54. Brown, L.D., Cai, T. & DasGupta, A. (2002).
    Confidence intervals for a binomial proportion and asymptotic expansions.
    The Annals of Statistics 30, 160-201.

  55. Brown, L.D., Cai, T. & DasGupta, A. (2001).
    Interval estimation for a binomial proportion (with discussion).
    Statistical Science 16, 101-133.

    Applications

  56. 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.

  57. Sun, W. & Cai, T. (2007).
    Oracle and adaptive compound decision rules for false discovery rate control.
    J. American Statistical Association 102, 901-912.

  58. Cai, T., Zhang, D. & Ben-Amotz, D. (2001).
    Enhanced chemical classification of Raman images using wavelet transformation.
    Applied Spectroscopy 55, 1124-1130.

  59. Shyu, C-R., Cai, T. & Broderick, L.S. (1999).
    On archiving and retrieval of sequential images from tomographic databases in PACS.
    Proc. SPIE - the International Society for Optical Engineering 3656, 33-40.
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Last updated on June 3, 2008.