Papers & Technical Reports

T. Tony Cai

| 2008 | 2007 | 2006 | 2005 | 2004 | 2003 | 2002 | 2001 | 2000 & Earlier | Papers by Topics |

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2008
1. Cai, T. & Zhou, H. (2008).
   Adaptive Functional Linear Regression.
   Technical report.

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

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

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

5. 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.

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

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

8. Cai, T. (2008).
   On information pooling, adaptability and superefficiency in nonparametric function estimation.
   J. Multivariate Analysis 99, 412-436.

   2007

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

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

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

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

13. 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.

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

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

16. 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.

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

18. 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.

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

    2006

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

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

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

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

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

25. Cai, T. (2006).
    Plugin confidence intervals in discrete distributions.
    Technical Report.

    2005

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

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

28. 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.

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

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

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

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

    2004

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

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

    2003

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

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

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

    2002

38. 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.

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

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

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

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

    2001

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

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

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

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

    2000 and Earlier

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

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

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

50. 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.

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

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