Asymptotic equivalence of nonparametric regression and white noise. Zbl 0867.62022
Brown, Lawrence D.; Low, Mark G. |
|
1996
|
A constrained risk inequality with applications to nonparametric functional estimation. Zbl 0867.62023
Brown, Lawrence D.; Low, Mark G. |
|
1996
|
On nonparametric confidence intervals. Zbl 0894.62055
Low, Mark G. |
|
1997
|
Estimation and confidence sets for sparse normal mixtures. Zbl 1360.62113
Cai, T. Tony; Jin, Jiashun; Low, Mark G. |
|
2007
|
An adaptation theory for nonparametric confidence intervals. Zbl 1056.62060
Cai, T. Tony; Low, Mark G. |
|
2004
|
Renormalization exponents and optimal pointwise rates of convergence. Zbl 0797.62032
Donoho, David L.; Low, Mark G. |
|
1992
|
Adaptive confidence balls. Zbl 1091.62037
Cai, T. Tony; Low, Mark G. |
|
2006
|
Asymptotic equivalence theory for nonparametric regression with random design. Zbl 1029.62044
Brown, Lawrence D.; Cai, T. Tony; Low, Mark G.; Zhang, Cun-Hui |
|
2002
|
Equivalence theory for density estimation, Poisson processes and Gaussian white noise with drift. Zbl 1062.62083
Brown, Lawrence D.; Carter, Andrew V.; Low, Mark G.; Zhang, Cun-Hui |
|
2004
|
Nonquadratic estimators of a quadratic functional. Zbl 1085.62055
Cai, T. Tony; Low, Mark G. |
|
2005
|
Superefficiency in nonparametric function estimation. Zbl 0895.62043
Brown, Lawrence D.; Low, Mark G.; Zhao, Linda H. |
|
1997
|
Optimal adaptive estimation of a quadratic functional. Zbl 1110.62048
Cai, T. Tony; Low, Mark G. |
|
2006
|
Testing composite hypotheses, Hermite polynomials and optimal estimation of a nonsmooth functional. Zbl 1277.62101
Cai, T. Tony; Low, Mark G. |
|
2011
|
On optimal adaptive estimation of a quadratic functional. Zbl 0865.62024
Efromovich, Sam; Low, Mark |
|
1996
|
Minimax estimation of linear functionals over nonconvex parameter spaces. Zbl 1048.62054
Cai, T. Tony; Low, Mark G. |
|
2004
|
Adaptive estimates of linear functionals. Zbl 0796.62037
Efromovich, Sam; Low, Mark G. |
|
1994
|
On adaptive estimation of linear functionals. Zbl 1086.62031
Cai, T. Tony; Low, Mark G. |
|
2005
|
Adaptive confidence bands for nonparametric regression functions. Zbl 1368.62093
Cai, T. Tony; Low, Mark; Ma, Zongming |
|
2014
|
A framework for estimation of convex functions. Zbl 1534.62033
Cai, T. Tony; Low, Mark G. |
|
2015
|
Adaptive confidence intervals for regression functions under shape constraints. Zbl 1267.62066
Cai, T. Tony; Low, Mark G.; Xia, Yin |
|
2013
|
A note on nonparametric estimation of linear functionals. Zbl 1105.62325
Cai, T. Tony; Low, Mark G. |
|
2003
|
Renormalization and white noise approximation for nonparametric functional estimation problems. Zbl 0756.62018
Low, Mark G. |
|
1992
|
Sharp adaptive estimation by a blockwise method. Zbl 1172.62024
Cai, T. Tony; Low, Mark G.; Zhao, Linda H. |
|
2009
|
Bias-variance tradeoffs in functional estimation problems. Zbl 0838.62006
Low, Mark G. |
|
1995
|
Trade-offs between global and local risks in nonparametric function estimation. Zbl 1111.62029
Cai, T. Tony; Low, Mark G.; Zhao, Linda H. |
|
2007
|
Adaptive estimation of linear functionals under different performance measures. Zbl 1063.62045
Cai, T. Tony; Low, Mark G. |
|
2005
|
On Bickel and Ritov’s conjecture about adaptive estimation of the integral of the square of density derivative. Zbl 0859.62039
Efromovich, Sam; Low, Mark |
|
1996
|
A complement to Le Cam’s theorem. Zbl 1194.62007
Low, Mark G.; Zhou, Harrison H. |
|
2007
|
Information inequality bounds on the minimax risk (with an application to nonparametric regression). Zbl 0736.62019
Brown, Lawrence D.; Low, Mark G. |
|
1991
|
Nonparametric estimation over shrinking neighborhoods: superefficiency and adaptation. Zbl 1064.62032
Cai, T. Tony; Low, Mark G. |
|
2005
|
Estimating monotone functions. Zbl 1011.62036
Low, Mark G.; Kang, Yung-Gyung |
|
2002
|
Non-existence of an adaptive estimator for the value of an unknown probability density. Zbl 0745.62035
Low, Mark G. |
|
1992
|
Adaptation under probabilistic error for estimating linear functionals. Zbl 1078.62105
Cai, T. Tony; Low, Mark G. |
|
2006
|
Renormalizing upper and lower bounds for integrated risk in the white noise model. Zbl 0795.62038
Low, Mark G. |
|
1993
|
Discussion of “Frequentist coverage of adaptive nonparametric Bayesian credible sets”. Zbl 1321.62042
Low, Mark G.; Ma, Zongming |
|
2015
|
A framework for estimation of convex functions. Zbl 1534.62033
Cai, T. Tony; Low, Mark G. |
|
2015
|
Discussion of “Frequentist coverage of adaptive nonparametric Bayesian credible sets”. Zbl 1321.62042
Low, Mark G.; Ma, Zongming |
|
2015
|
Adaptive confidence bands for nonparametric regression functions. Zbl 1368.62093
Cai, T. Tony; Low, Mark; Ma, Zongming |
|
2014
|
Adaptive confidence intervals for regression functions under shape constraints. Zbl 1267.62066
Cai, T. Tony; Low, Mark G.; Xia, Yin |
|
2013
|
Testing composite hypotheses, Hermite polynomials and optimal estimation of a nonsmooth functional. Zbl 1277.62101
Cai, T. Tony; Low, Mark G. |
|
2011
|
Sharp adaptive estimation by a blockwise method. Zbl 1172.62024
Cai, T. Tony; Low, Mark G.; Zhao, Linda H. |
|
2009
|
Estimation and confidence sets for sparse normal mixtures. Zbl 1360.62113
Cai, T. Tony; Jin, Jiashun; Low, Mark G. |
|
2007
|
Trade-offs between global and local risks in nonparametric function estimation. Zbl 1111.62029
Cai, T. Tony; Low, Mark G.; Zhao, Linda H. |
|
2007
|
A complement to Le Cam’s theorem. Zbl 1194.62007
Low, Mark G.; Zhou, Harrison H. |
|
2007
|
Adaptive confidence balls. Zbl 1091.62037
Cai, T. Tony; Low, Mark G. |
|
2006
|
Optimal adaptive estimation of a quadratic functional. Zbl 1110.62048
Cai, T. Tony; Low, Mark G. |
|
2006
|
Adaptation under probabilistic error for estimating linear functionals. Zbl 1078.62105
Cai, T. Tony; Low, Mark G. |
|
2006
|
Nonquadratic estimators of a quadratic functional. Zbl 1085.62055
Cai, T. Tony; Low, Mark G. |
|
2005
|
On adaptive estimation of linear functionals. Zbl 1086.62031
Cai, T. Tony; Low, Mark G. |
|
2005
|
Adaptive estimation of linear functionals under different performance measures. Zbl 1063.62045
Cai, T. Tony; Low, Mark G. |
|
2005
|
Nonparametric estimation over shrinking neighborhoods: superefficiency and adaptation. Zbl 1064.62032
Cai, T. Tony; Low, Mark G. |
|
2005
|
An adaptation theory for nonparametric confidence intervals. Zbl 1056.62060
Cai, T. Tony; Low, Mark G. |
|
2004
|
Equivalence theory for density estimation, Poisson processes and Gaussian white noise with drift. Zbl 1062.62083
Brown, Lawrence D.; Carter, Andrew V.; Low, Mark G.; Zhang, Cun-Hui |
|
2004
|
Minimax estimation of linear functionals over nonconvex parameter spaces. Zbl 1048.62054
Cai, T. Tony; Low, Mark G. |
|
2004
|
A note on nonparametric estimation of linear functionals. Zbl 1105.62325
Cai, T. Tony; Low, Mark G. |
|
2003
|
Asymptotic equivalence theory for nonparametric regression with random design. Zbl 1029.62044
Brown, Lawrence D.; Cai, T. Tony; Low, Mark G.; Zhang, Cun-Hui |
|
2002
|
Estimating monotone functions. Zbl 1011.62036
Low, Mark G.; Kang, Yung-Gyung |
|
2002
|
On nonparametric confidence intervals. Zbl 0894.62055
Low, Mark G. |
|
1997
|
Superefficiency in nonparametric function estimation. Zbl 0895.62043
Brown, Lawrence D.; Low, Mark G.; Zhao, Linda H. |
|
1997
|
Asymptotic equivalence of nonparametric regression and white noise. Zbl 0867.62022
Brown, Lawrence D.; Low, Mark G. |
|
1996
|
A constrained risk inequality with applications to nonparametric functional estimation. Zbl 0867.62023
Brown, Lawrence D.; Low, Mark G. |
|
1996
|
On optimal adaptive estimation of a quadratic functional. Zbl 0865.62024
Efromovich, Sam; Low, Mark |
|
1996
|
On Bickel and Ritov’s conjecture about adaptive estimation of the integral of the square of density derivative. Zbl 0859.62039
Efromovich, Sam; Low, Mark |
|
1996
|
Bias-variance tradeoffs in functional estimation problems. Zbl 0838.62006
Low, Mark G. |
|
1995
|
Adaptive estimates of linear functionals. Zbl 0796.62037
Efromovich, Sam; Low, Mark G. |
|
1994
|
Renormalizing upper and lower bounds for integrated risk in the white noise model. Zbl 0795.62038
Low, Mark G. |
|
1993
|
Renormalization exponents and optimal pointwise rates of convergence. Zbl 0797.62032
Donoho, David L.; Low, Mark G. |
|
1992
|
Renormalization and white noise approximation for nonparametric functional estimation problems. Zbl 0756.62018
Low, Mark G. |
|
1992
|
Non-existence of an adaptive estimator for the value of an unknown probability density. Zbl 0745.62035
Low, Mark G. |
|
1992
|
Information inequality bounds on the minimax risk (with an application to nonparametric regression). Zbl 0736.62019
Brown, Lawrence D.; Low, Mark G. |
|
1991
|