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Low, Mark G.

Co-Author Distance
Author ID: low.mark-g Recent zbMATH articles by "Low, Mark G."
Published as: Low, Mark G.; Low, Mark
Further Spellings: Low, Mark Gordon
Homepage: https://statistics.wharton.upenn.edu/profile/lowm/
External Links: MGP · Google Scholar
Documents Indexed: 36 Publications since 1991
1 Contribution as Editor
Co-Authors: 14 Co-Authors with 31 Joint Publications
582 Co-Co-Authors
all top 5

Co-Authors

6 single-authored
18 Cai, Tianwen
6 Brown, Lawrence David
3 Efromovich, Sam
3 Zhao, Linda H.
2 Ma, Zongming
2 Zhang, Cun-Hui
1 Carter, Andrew V.
1 Donoho, David Leigh
1 Jin, Jiashun
1 Kang, Yung-Gyung
1 Munk, Axel
1 Tsybakov, Alexandre B.
1 Xia, Yin
1 Zhou, Harrison H.
all top 5

Serials

27 The Annals of Statistics
2 Bernoulli
1 Journal of the American Statistical Association
1 Journal of Multivariate Analysis
1 Statistics & Probability Letters
1 Probability Theory and Related Fields
1 Statistica Sinica
1 Journal of Nonparametric Statistics
1 Oberwolfach Reports
all top 5

Fields

37 Statistics (62-XX)
3 Probability theory and stochastic processes (60-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Functional analysis (46-XX)
2 Numerical analysis (65-XX)
1 General and overarching topics; collections (00-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

35 Publications have been cited 864 times in 499 Documents Cited by ▼ Year ▼
Asymptotic equivalence of nonparametric regression and white noise. Zbl 0867.62022
Brown, Lawrence D.; Low, Mark G.
173
1996
A constrained risk inequality with applications to nonparametric functional estimation. Zbl 0867.62023
Brown, Lawrence D.; Low, Mark G.
59
1996
On nonparametric confidence intervals. Zbl 0894.62055
Low, Mark G.
56
1997
Estimation and confidence sets for sparse normal mixtures. Zbl 1360.62113
Cai, T. Tony; Jin, Jiashun; Low, Mark G.
48
2007
An adaptation theory for nonparametric confidence intervals. Zbl 1056.62060
Cai, T. Tony; Low, Mark G.
47
2004
Renormalization exponents and optimal pointwise rates of convergence. Zbl 0797.62032
Donoho, David L.; Low, Mark G.
43
1992
Adaptive confidence balls. Zbl 1091.62037
Cai, T. Tony; Low, Mark G.
39
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
36
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
34
2004
Nonquadratic estimators of a quadratic functional. Zbl 1085.62055
Cai, T. Tony; Low, Mark G.
29
2005
Superefficiency in nonparametric function estimation. Zbl 0895.62043
Brown, Lawrence D.; Low, Mark G.; Zhao, Linda H.
26
1997
Optimal adaptive estimation of a quadratic functional. Zbl 1110.62048
Cai, T. Tony; Low, Mark G.
26
2006
Testing composite hypotheses, Hermite polynomials and optimal estimation of a nonsmooth functional. Zbl 1277.62101
Cai, T. Tony; Low, Mark G.
24
2011
On optimal adaptive estimation of a quadratic functional. Zbl 0865.62024
Efromovich, Sam; Low, Mark
24
1996
Minimax estimation of linear functionals over nonconvex parameter spaces. Zbl 1048.62054
Cai, T. Tony; Low, Mark G.
22
2004
Adaptive estimates of linear functionals. Zbl 0796.62037
Efromovich, Sam; Low, Mark G.
20
1994
On adaptive estimation of linear functionals. Zbl 1086.62031
Cai, T. Tony; Low, Mark G.
19
2005
Adaptive confidence bands for nonparametric regression functions. Zbl 1368.62093
Cai, T. Tony; Low, Mark; Ma, Zongming
15
2014
A framework for estimation of convex functions. Zbl 1534.62033
Cai, T. Tony; Low, Mark G.
14
2015
Adaptive confidence intervals for regression functions under shape constraints. Zbl 1267.62066
Cai, T. Tony; Low, Mark G.; Xia, Yin
13
2013
A note on nonparametric estimation of linear functionals. Zbl 1105.62325
Cai, T. Tony; Low, Mark G.
13
2003
Renormalization and white noise approximation for nonparametric functional estimation problems. Zbl 0756.62018
Low, Mark G.
10
1992
Sharp adaptive estimation by a blockwise method. Zbl 1172.62024
Cai, T. Tony; Low, Mark G.; Zhao, Linda H.
9
2009
Bias-variance tradeoffs in functional estimation problems. Zbl 0838.62006
Low, Mark G.
9
1995
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
Adaptive estimation of linear functionals under different performance measures. Zbl 1063.62045
Cai, T. Tony; Low, Mark G.
8
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
7
1996
A complement to Le Cam’s theorem. Zbl 1194.62007
Low, Mark G.; Zhou, Harrison H.
6
2007
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
Estimating monotone functions. Zbl 1011.62036
Low, Mark G.; Kang, Yung-Gyung
5
2002
Non-existence of an adaptive estimator for the value of an unknown probability density. Zbl 0745.62035
Low, Mark G.
4
1992
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
A framework for estimation of convex functions. Zbl 1534.62033
Cai, T. Tony; Low, Mark G.
14
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
15
2014
Adaptive confidence intervals for regression functions under shape constraints. Zbl 1267.62066
Cai, T. Tony; Low, Mark G.; Xia, Yin
13
2013
Testing composite hypotheses, Hermite polynomials and optimal estimation of a nonsmooth functional. Zbl 1277.62101
Cai, T. Tony; Low, Mark G.
24
2011
Sharp adaptive estimation by a blockwise method. Zbl 1172.62024
Cai, T. Tony; Low, Mark G.; Zhao, Linda H.
9
2009
Estimation and confidence sets for sparse normal mixtures. Zbl 1360.62113
Cai, T. Tony; Jin, Jiashun; Low, Mark G.
48
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.
39
2006
Optimal adaptive estimation of a quadratic functional. Zbl 1110.62048
Cai, T. Tony; Low, Mark G.
26
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.
29
2005
On adaptive estimation of linear functionals. Zbl 1086.62031
Cai, T. Tony; Low, Mark G.
19
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.
47
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
34
2004
Minimax estimation of linear functionals over nonconvex parameter spaces. Zbl 1048.62054
Cai, T. Tony; Low, Mark G.
22
2004
A note on nonparametric estimation of linear functionals. Zbl 1105.62325
Cai, T. Tony; Low, Mark G.
13
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
36
2002
Estimating monotone functions. Zbl 1011.62036
Low, Mark G.; Kang, Yung-Gyung
5
2002
On nonparametric confidence intervals. Zbl 0894.62055
Low, Mark G.
56
1997
Superefficiency in nonparametric function estimation. Zbl 0895.62043
Brown, Lawrence D.; Low, Mark G.; Zhao, Linda H.
26
1997
Asymptotic equivalence of nonparametric regression and white noise. Zbl 0867.62022
Brown, Lawrence D.; Low, Mark G.
173
1996
A constrained risk inequality with applications to nonparametric functional estimation. Zbl 0867.62023
Brown, Lawrence D.; Low, Mark G.
59
1996
On optimal adaptive estimation of a quadratic functional. Zbl 0865.62024
Efromovich, Sam; Low, Mark
24
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.
9
1995
Adaptive estimates of linear functionals. Zbl 0796.62037
Efromovich, Sam; Low, Mark G.
20
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.
43
1992
Renormalization and white noise approximation for nonparametric functional estimation problems. Zbl 0756.62018
Low, Mark G.
10
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 cited Publications top 5 cited Publications
all top 5

Cited by 488 Authors

45 Cai, Tianwen
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 Butucea, Cristina
8 Dalalyan, Arnak S.
8 Ingster, Yuriĭ Izmaĭlovich
8 Jin, Jiashun
8 Juditsky, Anatoli B.
8 Szabó, Botond
7 Armstrong, Timothy B.
7 Collier, Olivier
7 Hoffmann, Marc
7 Lepskiĭ, Oleg Vital’evich
7 Reiß, Markus
7 Samworth, Richard J.
7 Verzelen, Nicolas
6 Carter, Andrew V.
6 Castillo, Ismaël
6 Ghosal, Subhashis
6 Goldenshluger, Alexander
6 Hall, Peter Gavin
6 Nemirovski, Arkadi S.
6 Nussbaum, Michael
6 Pensky, Marianna
6 Zhang, Cun-Hui
5 Donoho, David Leigh
5 Ermakov, Mikhaĭl Sergeevich
5 Fan, Jianqing
5 Kolesár, Michal
5 Kolchinskiĭ, Vladimir I’ich
5 Laurent, Béatrice
5 Mukherjee, Rajarshi
5 Schmidt-Hieber, Johannes
5 Sen, Bodhisattva
5 Wasserman, Larry Alan
5 Yang, Yuhong
5 Zhao, Linda H.
4 Blanchard, Gilles
4 Comminges, Laetitia
4 Gao, Chao
4 Kim, Arlene Kyoung Hee
4 Klemelä, Jussi
4 Li, Hongzhe
4 Mariucci, Ester
4 Marteau, Clément
4 Ouimet, Frédéric
4 Ritov, Ya’acov
4 Rohde, Angelika
4 Rousseau, Judith
4 Sapatinas, Theofanis
4 Spokoĭnyĭ, Vladimir Grigor’evich
4 Trabs, Mathias
3 Babenko, Alexandra
3 Bandeira, Afonso S.
3 Belomestny, Denis
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 Johannes, Jan
3 Kerkyacharian, Gérard
3 Kroll, Martin H.
3 Lian, Heng
3 Maugis-Rabusseau, Cathy
3 Meister, Alexander
3 Neumann, Michael H.
3 Picard, Dominique B.
3 Robins, James M.
3 Roquain, Étienne
3 Suslina, Irina A.
3 van Zanten, Harry
3 van Zanten, J. H.
3 Wager, Stefan
3 Wang, Suojin
3 Wang, Yazhen
3 Wellner, Jon August
3 Wishart, Justin Rory
3 Wu, Yihong
3 Zeevi, Assaf J.
3 Zhilova, Mayya
2 Agapiou, Sergios
2 Amato, Umberto
2 Angelini, Claudia
2 Balakrishnan, Sivaraman
2 Baraud, Yannick
...and 388 more Authors
all top 5

Cited in 76 Serials

161 The Annals of Statistics
41 Bernoulli
33 Electronic Journal of Statistics
19 Journal of Statistical Planning and Inference
16 Statistics & Probability Letters
15 Probability Theory and Related Fields
12 Journal of Multivariate Analysis
11 Journal of the American Statistical Association
10 Annals of the Institute of Statistical Mathematics
9 Statistical Science
9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
9 Mathematical Methods of Statistics
9 Journal of Nonparametric Statistics
9 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
6 Sankhyā. Series A
6 SIAM/ASA Journal on Uncertainty Quantification
6 Mathematical Statistics and Learning
5 Scandinavian Journal of Statistics
5 Journal of Econometrics
5 Stochastic Processes and their Applications
5 The Annals of Applied Statistics
4 Test
4 Applied and Computational Harmonic Analysis
4 Statistical Inference for Stochastic Processes
4 Econometric Theory
3 Problems of Information Transmission
3 Econometrica
3 Statistica Sinica
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 Journal of Mathematical Sciences (New York)
2 Finance and Stochastics
2 Australian & New Zealand Journal of Statistics
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 Machine Learning Research (JMLR)
2 Journal of the Korean Statistical Society
2 Quantitative Economics
2 Stat
1 The Canadian Journal of Statistics
1 Metrika
1 Biometrical Journal
1 Biometrics
1 Journal of Computational and Applied Mathematics
1 Mathematics and Computers in Simulation
1 Operations Research
1 Results in Mathematics
1 Statistica Neerlandica
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 Chaos
1 Extremes
1 Communications of the Korean Mathematical Society
1 Statistical Methodology
1 AStA. Advances in Statistical Analysis
1 Mathematical Programming Computation
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
all top 5

Cited in 31 Fields

488 Statistics (62-XX)
68 Probability theory and stochastic processes (60-XX)
45 Numerical analysis (65-XX)
31 Harmonic analysis on Euclidean spaces (42-XX)
24 Information and communication theory, circuits (94-XX)
13 Computer science (68-XX)
10 Functional analysis (46-XX)
7 Biology and other natural sciences (92-XX)
6 Approximations and expansions (41-XX)
6 Operations research, mathematical programming (90-XX)
5 Partial differential equations (35-XX)
5 Quantum theory (81-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Systems theory; control (93-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Combinatorics (05-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Functions of a complex variable (30-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Topological groups, Lie groups (22-XX)
1 Real functions (26-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Operator theory (47-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Geophysics (86-XX)

Citations by Year