Mark G. Low

24 catalog papers. Name-matched publications do not establish a verified researcher identity.

Department of Statistics, The Wharton School University of Pennsylvania

Publications

• Adaptive confidence intervals for regression functions under shape constraints — The Annals of Statistics 2013
• Testing composite hypotheses, Hermite polynomials and optimal estimation of a nonsmooth functional — The Annals of Statistics 2011
• A complement to Le Cam’s theorem — The Annals of Statistics 2007
• Estimation and confidence sets for sparse normal mixtures — The Annals of Statistics 2007
• Adaptive confidence balls — The Annals of Statistics 2006
• Optimal adaptive estimation of a quadratic functional — The Annals of Statistics 2006
• On adaptive estimation of linear functionals — The Annals of Statistics 2005
• Nonquadratic estimators of a quadratic functional — The Annals of Statistics 2005
• Nonparametric estimation over shrinking neighborhoods: Superefficiency and adaptation — The Annals of Statistics 2005
• Equivalence theory for density estimation, Poisson processes and Gaussian white noise with drift — The Annals of Statistics 2004
• An adaptation theory for nonparametric confidence intervals — The Annals of Statistics 2004
• Minimax estimation of linear functionals over nonconvex parameter spaces — The Annals of Statistics 2004
• A note on nonparametric estimation of linear functionals — The Annals of Statistics 2003
• Asymptotic equivalence theory for nonparametric regression with random design — The Annals of Statistics 2002
• On nonparametric confidence intervals — The Annals of Statistics 1997
• Superefficiency in nonparametric function estimation — The Annals of Statistics 1997
• Asymptotic equivalence of nonparametric regression and white noise — The Annals of Statistics 1996
• A constrained risk inequality with applications to nonparametric functional estimation — The Annals of Statistics 1996
• Bias-Variance Tradeoffs in Functional Estimation Problems — The Annals of Statistics 1995
• Renormalizing Upper and Lower Bounds for Integrated Risk in the White Noise Model: — The Annals of Statistics 1993
• Renormalization Exponents and Optimal Pointwise Rates of Convergence — The Annals of Statistics 1992
• Renormalization and White Noise Approximation for Nonparametric Functional Estimation Problems — The Annals of Statistics 1992
• Non-Existence of an Adaptive Estimator for the Value of an Unknown Probability Density — The Annals of Statistics 1992
• Information Inequality Bounds on the Minimax Risk (with an Application to Nonparametric Regression) — The Annals of Statistics 1991