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Author ID: low.mark-g Recent zbMATH articles by "Low, Mark G."
Published as: Low, Mark G.; Low, Mark

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 759 times in 437 Documents Cited by Year
Asymptotic equivalence of nonparametric regression and white noise. Zbl 0867.62022
Brown, Lawrence D.; Low, Mark G.
163
1996
A constrained risk inequality with applications to nonparametric functional estimation. Zbl 0867.62023
Brown, Lawrence D.; Low, Mark G.
54
1996
On nonparametric confidence intervals. Zbl 0894.62055
Low, Mark G.
48
1997
Estimation and confidence sets for sparse normal mixtures. Zbl 1360.62113
Cai, T. Tony; Jin, Jiashun; Low, Mark G.
42
2007
An adaptation theory for nonparametric confidence intervals. Zbl 1056.62060
Cai, T. Tony; Low, Mark G.
39
2004
Renormalization exponents and optimal pointwise rates of convergence. Zbl 0797.62032
Donoho, David L.; Low, Mark G.
38
1992
Adaptive confidence balls. Zbl 1091.62037
Cai, T. Tony; Low, Mark G.
37
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
33
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
30
2004
Nonquadratic estimators of a quadratic functional. Zbl 1085.62055
Cai, T. Tony; Low, Mark G.
27
2005
Superefficiency in nonparametric function estimation. Zbl 0895.62043
Brown, Lawrence D.; Low, Mark G.; Zhao, Linda H.
23
1997
On optimal adaptive estimation of a quadratic functional. Zbl 0865.62024
Efromovich, Sam; Low, Mark
22
1996
Optimal adaptive estimation of a quadratic functional. Zbl 1110.62048
Cai, T. Tony; Low, Mark G.
22
2006
Minimax estimation of linear functionals over nonconvex parameter spaces. Zbl 1048.62054
Cai, T. Tony; Low, Mark G.
20
2004
Testing composite hypotheses, Hermite polynomials and optimal estimation of a nonsmooth functional. Zbl 1277.62101
Cai, T. Tony; Low, Mark G.
19
2011
Adaptive estimates of linear functionals. Zbl 0796.62037
Efromovich, Sam; Low, Mark G.
18
1994
On adaptive estimation of linear functionals. Zbl 1086.62031
Cai, T. Tony; Low, Mark G.
16
2005
Adaptive confidence bands for nonparametric regression functions. Zbl 1368.62093
Cai, T. Tony; Low, Mark; Ma, Zongming
12
2014
A note on nonparametric estimation of linear functionals. Zbl 1105.62325
Cai, T. Tony; Low, Mark G.
11
2003
Renormalization and white noise approximation for nonparametric functional estimation problems. Zbl 0756.62018
Low, Mark G.
9
1992
Adaptive estimation of linear functionals under different performance measures. Zbl 1063.62045
Cai, T. Tony; Low, Mark G.
8
2005
Adaptive confidence intervals for regression functions under shape constraints. Zbl 1267.62066
Cai, T. Tony; Low, Mark G.; Xia, Yin
8
2013
Trade-offs between global and local risks in nonparametric function estimation. Zbl 1111.62029
Cai, T. Tony; Low, Mark G.; Zhao, Linda H.
8
2007
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
7
1996
Sharp adaptive estimation by a blockwise method. Zbl 1172.62024
Cai, T. Tony; Low, Mark G.; Zhao, Linda H.
7
2009
Bias-variance tradeoffs in functional estimation problems. Zbl 0838.62006
Low, Mark G.
6
1995
Information inequality bounds on the minimax risk (with an application to nonparametric regression). Zbl 0736.62019
Brown, Lawrence D.; Low, Mark G.
6
1991
Nonparametric estimation over shrinking neighborhoods: superefficiency and adaptation. Zbl 1064.62032
Cai, T. Tony; Low, Mark G.
6
2005
A complement to Le Cam’s theorem. Zbl 1194.62007
Low, Mark G.; Zhou, Harrison H.
6
2007
Non-existence of an adaptive estimator for the value of an unknown probability density. Zbl 0745.62035
Low, Mark G.
4
1992
Estimating monotone functions. Zbl 1011.62036
Low, Mark G.; Kang, Yung-Gyung
4
2002
Adaptation under probabilistic error for estimating linear functionals. Zbl 1078.62105
Cai, T. Tony; Low, Mark G.
3
2006
Renormalizing upper and lower bounds for integrated risk in the white noise model. Zbl 0795.62038
Low, Mark G.
2
1993
Discussion of “Frequentist coverage of adaptive nonparametric Bayesian credible sets”. Zbl 1321.62042
Low, Mark G.; Ma, Zongming
1
2015
Discussion of “Frequentist coverage of adaptive nonparametric Bayesian credible sets”. Zbl 1321.62042
Low, Mark G.; Ma, Zongming
1
2015
Adaptive confidence bands for nonparametric regression functions. Zbl 1368.62093
Cai, T. Tony; Low, Mark; Ma, Zongming
12
2014
Adaptive confidence intervals for regression functions under shape constraints. Zbl 1267.62066
Cai, T. Tony; Low, Mark G.; Xia, Yin
8
2013
Testing composite hypotheses, Hermite polynomials and optimal estimation of a nonsmooth functional. Zbl 1277.62101
Cai, T. Tony; Low, Mark G.
19
2011
Sharp adaptive estimation by a blockwise method. Zbl 1172.62024
Cai, T. Tony; Low, Mark G.; Zhao, Linda H.
7
2009
Estimation and confidence sets for sparse normal mixtures. Zbl 1360.62113
Cai, T. Tony; Jin, Jiashun; Low, Mark G.
42
2007
Trade-offs between global and local risks in nonparametric function estimation. Zbl 1111.62029
Cai, T. Tony; Low, Mark G.; Zhao, Linda H.
8
2007
A complement to Le Cam’s theorem. Zbl 1194.62007
Low, Mark G.; Zhou, Harrison H.
6
2007
Adaptive confidence balls. Zbl 1091.62037
Cai, T. Tony; Low, Mark G.
37
2006
Optimal adaptive estimation of a quadratic functional. Zbl 1110.62048
Cai, T. Tony; Low, Mark G.
22
2006
Adaptation under probabilistic error for estimating linear functionals. Zbl 1078.62105
Cai, T. Tony; Low, Mark G.
3
2006
Nonquadratic estimators of a quadratic functional. Zbl 1085.62055
Cai, T. Tony; Low, Mark G.
27
2005
On adaptive estimation of linear functionals. Zbl 1086.62031
Cai, T. Tony; Low, Mark G.
16
2005
Adaptive estimation of linear functionals under different performance measures. Zbl 1063.62045
Cai, T. Tony; Low, Mark G.
8
2005
Nonparametric estimation over shrinking neighborhoods: superefficiency and adaptation. Zbl 1064.62032
Cai, T. Tony; Low, Mark G.
6
2005
An adaptation theory for nonparametric confidence intervals. Zbl 1056.62060
Cai, T. Tony; Low, Mark G.
39
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
30
2004
Minimax estimation of linear functionals over nonconvex parameter spaces. Zbl 1048.62054
Cai, T. Tony; Low, Mark G.
20
2004
A note on nonparametric estimation of linear functionals. Zbl 1105.62325
Cai, T. Tony; Low, Mark G.
11
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
33
2002
Estimating monotone functions. Zbl 1011.62036
Low, Mark G.; Kang, Yung-Gyung
4
2002
On nonparametric confidence intervals. Zbl 0894.62055
Low, Mark G.
48
1997
Superefficiency in nonparametric function estimation. Zbl 0895.62043
Brown, Lawrence D.; Low, Mark G.; Zhao, Linda H.
23
1997
Asymptotic equivalence of nonparametric regression and white noise. Zbl 0867.62022
Brown, Lawrence D.; Low, Mark G.
163
1996
A constrained risk inequality with applications to nonparametric functional estimation. Zbl 0867.62023
Brown, Lawrence D.; Low, Mark G.
54
1996
On optimal adaptive estimation of a quadratic functional. Zbl 0865.62024
Efromovich, Sam; Low, Mark
22
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
7
1996
Bias-variance tradeoffs in functional estimation problems. Zbl 0838.62006
Low, Mark G.
6
1995
Adaptive estimates of linear functionals. Zbl 0796.62037
Efromovich, Sam; Low, Mark G.
18
1994
Renormalizing upper and lower bounds for integrated risk in the white noise model. Zbl 0795.62038
Low, Mark G.
2
1993
Renormalization exponents and optimal pointwise rates of convergence. Zbl 0797.62032
Donoho, David L.; Low, Mark G.
38
1992
Renormalization and white noise approximation for nonparametric functional estimation problems. Zbl 0756.62018
Low, Mark G.
9
1992
Non-existence of an adaptive estimator for the value of an unknown probability density. Zbl 0745.62035
Low, Mark G.
4
1992
Information inequality bounds on the minimax risk (with an application to nonparametric regression). Zbl 0736.62019
Brown, Lawrence D.; Low, Mark G.
6
1991
all top 5

Cited by 418 Authors

30 Cai, Tony Tony
25 Low, Mark G.
13 Brown, Lawrence David
13 Efromovich, Sam
12 Van der Vaart, Adrianus Willem
12 Zhou, Harrison H.
11 Tsybakov, Alexandre B.
10 Nickl, Richard
9 Carpentier, Alexandra
8 Belitser, Eduard
8 Dalalyan, Arnak S.
8 Ingster, Yuriĭ Izmaĭlovich
8 Jin, Jiashun
7 Butucea, Cristina
7 Collier, Olivier
7 Hoffmann, Marc
7 Juditsky, Anatoli B.
6 Carter, Andrew V.
6 Goldenshluger, Alexander
6 Hall, Peter Gavin
6 Lepskiĭ, Oleg Vital’evich
6 Pensky, Marianna
6 Reiß, Markus
6 Szabó, Botond
6 Verzelen, Nicolas
6 Zhang, Cun-Hui
5 Castillo, Ismaël
5 Donoho, David Leigh
5 Ermakov, Mikhaĭl Sergeevich
5 Fan, Jianqing
5 Ghosal, Subhashis
5 Kolchinskiĭ, Vladimir I’ich
5 Nemirovski, Arkadi S.
5 Nussbaum, Michael
5 Yang, Yuhong
5 Zhao, Linda H.
4 Blanchard, Gilles
4 Comminges, Laetitia
4 Gao, Chao
4 Klemelä, Jussi
4 Laurent, Béatrice
4 Mariucci, Ester
4 Marteau, Clément
4 Rousseau, Judith
4 Sapatinas, Theofanis
4 Schmidt-Hieber, Johannes
4 Spokoiny, Vladimir G.
4 Trabs, Mathias
3 Babenko, Alexandra
3 Bickel, Peter John
3 Bigot, Jéremie
3 Birgé, Lucien
3 Bull, Adam D.
3 Chesneau, Christophe
3 DasGupta, Anirban
3 Dette, Holger
3 Dümbgen, Lutz
3 Durastanti, Claudio
3 Gayraud, Ghislaine
3 Ghosh, Jayanta Kumar
3 Gugushvili, Shota
3 Jeng, X. Jessie
3 Kerkyacharian, Gérard
3 Kim, Arlene Kyoung Hee
3 Kroll, Martin H.
3 Lian, Heng
3 Maugis-Rabusseau, Cathy
3 Meister, Alexander
3 Mukherjee, Rajarshi
3 Neumann, Michael H.
3 Picard, Dominique B.
3 Ritov, Ya’acov
3 Rohde, Angelika
3 Roquain, Étienne
3 Sen, Bodhisattva
3 Suslina, Irina A.
3 van Zanten, J. H.
3 Wasserman, Larry Alan
3 Wishart, Justin Rory
3 Zeevi, Assaf J.
3 Zhilova, Mayya
2 Amato, Umberto
2 Angelini, Claudia
2 Armstrong, Timothy B.
2 Bandeira, Afonso S.
2 Baraud, Yannick
2 Belomestny, Denis
2 Benhaddou, Rida
2 Cai, Li
2 Candès, Emmanuel J.
2 Chakrabarti, Arijit
2 Chakraborty, Moumita
2 Chen, Jiahua
2 Chicken, Eric
2 De Canditiis, Daniela
2 Delattre, Sylvain
2 Enikeeva, Farida N.
2 Finner, Helmut
2 Gadat, Sébastien
2 Gaïffas, Stéphane
...and 318 more Authors
all top 5

Cited in 68 Serials

148 The Annals of Statistics
33 Bernoulli
28 Electronic Journal of Statistics
18 Journal of Statistical Planning and Inference
16 Statistics & Probability Letters
15 Probability Theory and Related Fields
11 Journal of Multivariate Analysis
10 Annals of the Institute of Statistical Mathematics
9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
9 Mathematical Methods of Statistics
9 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
8 Statistical Science
8 Journal of Nonparametric Statistics
6 Journal of the American Statistical Association
6 Sankhyā. Series A
5 Journal of Econometrics
5 Stochastic Processes and their Applications
5 SIAM/ASA Journal on Uncertainty Quantification
5 Mathematical Statistics and Learning
4 Scandinavian Journal of Statistics
4 Test
4 Statistical Inference for Stochastic Processes
4 Econometric Theory
3 Problems of Information Transmission
3 Applied and Computational Harmonic Analysis
3 Journal of the Royal Statistical Society. Series B. Statistical Methodology
2 Inverse Problems
2 Statistics
2 Sequential Analysis
2 Constructive Approximation
2 Computational Statistics
2 Communications in Statistics. Theory and Methods
2 Journal of Statistical Computation and Simulation
2 Statistical Papers
2 Statistica Sinica
2 Finance and Stochastics
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Journal of the European Mathematical Society (JEMS)
2 Journal of the Korean Statistical Society
2 The Annals of Applied Statistics
1 The Canadian Journal of Statistics
1 Biometrical Journal
1 Biometrics
1 Journal of Computational and Applied Mathematics
1 Mathematics and Computers in Simulation
1 Results in Mathematics
1 Queueing Systems
1 Neural Networks
1 SIAM Journal on Applied Mathematics
1 Computational Statistics and Data Analysis
1 Mathematical Programming. Series A. Series B
1 Journal of Computer and Systems Sciences International
1 Journal of Mathematical Sciences (New York)
1 Australian & New Zealand Journal of Statistics
1 Chaos
1 Extremes
1 Communications of the Korean Mathematical Society
1 Statistical Methodology
1 AStA. Advances in Statistical Analysis
1 Probability Surveys
1 Statistics Surveys
1 Science China. Mathematics
1 Journal of Probability and Statistics
1 Symmetry
1 Information and Inference
1 Communications in Mathematics and Statistics
1 SIAM Journal on Mathematics of Data Science
1 Graduate Journal of Mathematics

Citations by Year