Mark G. Low

Professor
Department of Statistics, The Wharton School
University of Pennsylvania, Philadelphia, PA 19104
Phone: 215-898-8227 Fax: 215-898-1280

lowm@wharton.upenn.edu

Vita pdf

Research Interests :
Recent Papers and Downloadable Technical Reports:

  1. Cai, T. & Low, M.G. (2010).
    Testing composite hypotheses, Hermite polynomials, and optimal estimation of a nonsmooth functional. .
    The Annals of Statistics to appear.

  2. Low, M.G. & Zhou, H. (2007).
    A complement to Le Cam's Theorem.
    The Annals of Statistics 35, 1146-1165.

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

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

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

  6. Cai, T. & Low, M. (2006).
    Adaptive Confidence Balls.
    The Annals of Statistics 34, 202-228.

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

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

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

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

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

  12. Brown, L.D., Carter, A.V., Low, M.G. & Zhang, C. (2004).
    Equivalence theory for density estimation, Poisson processes and Gaussian white noise with drift.
    The Annals of Statistics 32, 2074-2097.

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

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

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

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

  17. 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.

  18. Kang, Y.-G. and Low, M.G. (2002).
    Estimating monotone functions.
    Statistics and Probability Letters 56, 361-367.