## Wellner, Jon August

Compute Distance To:
 Author ID: wellner.jon-a Published as: Wellner, Jon A.; Wellner, J. A.; Wellner, Jon; Wellner, J. more...less Homepage: https://www.stat.washington.edu/jaw/ External Links: MGP
 Documents Indexed: 138 Publications since 1975, including 6 Books 7 Contributions as Editor · 2 Further Contributions Biographic References: 2 Publications Co-Authors: 73 Co-Authors with 123 Joint Publications 1,855 Co-Co-Authors
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### Co-Authors

 23 single-authored 10 Van der Vaart, Adrianus Willem 8 Groeneboom, Piet 6 Dümbgen, Lutz 6 Klaassen, Chris A. J. 5 Balabdaoui, Fadoua 5 Breslow, Norman E. 5 Gao, Fuchang 5 Hall, William Jackson (Jack) 5 Jankowski, Hanna K. 5 Jongbloed, Geurt 5 Kolchinskiĭ, Vladimir I’ich 5 Ritov, Ya’acov 5 Shorack, Galen R. 4 Banerjee, Moulinath 4 Huang, Jian 4 Van de Geer, Sara Anna 3 Bickel, Peter John 3 Doss, Charles R. 3 Giné-Masdéu, Evarist 3 Han, Qiyang 3 Maathuis, Marloes H. 3 Mason, David M. 3 Nickl, Richard 3 Rufibach, Kaspar 3 Samworth, Richard J. 3 Saumard, Adrien 3 Seregin, Arseni 3 Smythe, Robert T. 3 Zhang, Ying 2 Begun, Janet M. 2 Chen, YiNing 2 Gill, Richard David 2 Greene, Evan 2 Jager, Leah 2 Keilson, Julian 2 McNeney, Brad 2 Mizera, Ivan 2 Nan, Bin 2 Pavlides, Marios G. 2 Perman, Mihael 2 Ruymgaart, Frits H. 1 Anagnostopoulos, Christoforos 1 Böhning, Dankmar 1 Casella, George 1 Cator, Eric A. 1 Chacón, José E. 1 Cheng, Ming-Yen 1 Critchley, Frank 1 Cule, Madeleine 1 Dannemann, Jörn 1 Dekking, Frederik Michel 1 Delaigle, Aurore 1 Draper, David 1 Einmahl, John H. J. 1 Emond, Mary Jane 1 Gomes, Antonio Eduardo 1 Gopal, Vikneswaran 1 Hall, Peter Gavin 1 Hazelton, Martin L. 1 Hoff, Peter D. 1 Hoffmann-Jørgensen, Jørgen 1 Houdré, Christian 1 Hu, Jie 1 Jang, Woncheol 1 Janssen, Arnold 1 Jeon, Yongho 1 Koenker, Roger W. 1 Kraaikamp, Cor 1 Kypraios, Theodore 1 Laha, Nilanjana 1 Leng, Chenlei 1 Li, Jialiang 1 Li, Wenbo V. 1 Lim, Johan 1 Lopuhaä, Hendrik P. 1 Lu, Kevin H. Y. 1 Marcus, Michael B. 1 Miao, Zhen 1 Munk, Axel 1 Murphy, Susan A. 1 Niu, Xiaoyue 1 Perlman, Michael D. 1 Petrondas, D. 1 Præstgaard, Jens Thomas 1 Preston, Simon P. 1 Robins, James M. 1 Rosiński, Jan 1 Saegusa, Takumi 1 Schuhmacher, Dominic 1 Sheehy, Anne 1 Stein, Michel 1 Stewart, Michael 1 Stone, Mervyn 1 Sumita, Ushio 1 Titterington, D. Michael 1 Tong, Howell 1 Van der Laan, Mark Johannes 1 Vardi, Yehuda 1 Veraar, Mark C. 1 Walther, Günther ...and 7 more Co-Authors
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### Serials

 30 The Annals of Statistics 8 Bernoulli 7 The Annals of Probability 7 Stochastic Processes and their Applications 6 Scandinavian Journal of Statistics 6 Electronic Journal of Statistics 4 Journal of Multivariate Analysis 4 Statistica Neerlandica 3 Statistical Science 3 Progress in Probability 2 Journal of Statistical Planning and Inference 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Statistica Sinica 2 Lifetime Data Analysis 2 Oberwolfach Reports 2 Sankhyā. Series A 1 American Mathematical Monthly 1 The Canadian Journal of Statistics 1 Acta Scientiarum Mathematicarum 1 Biometrika 1 International Statistical Review 1 Journal of the American Statistical Association 1 Journal of Applied Probability 1 Proceedings of the American Mathematical Society 1 Statistics & Probability Letters 1 Statistics & Decisions 1 Constructive Approximation 1 Algorithmica 1 Science in China. Series A 1 Random Structures & Algorithms 1 The Annals of Applied Probability 1 Journal of Statistical Computation and Simulation 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Mathematical Methods of Statistics 1 Electronic Journal of Probability 1 Journal of Nonparametric Statistics 1 Journal of the Royal Statistical Society. Series B. Statistical Methodology 1 Butlletí de la Societat Catalana de Matemàtiques 1 The International Journal of Biostatistics 1 Classics in Applied Mathematics 1 DMV Seminar 1 Institute of Mathematical Statistics Lecture Notes - Monograph Series 1 Johns Hopkins Series in the Mathematical Sciences 1 Statistics Surveys 1 Symmetry 1 Springer Series in Statistics 1 Wiley Series in Probability and Mathematical Statistics
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### Fields

 123 Statistics (62-XX) 69 Probability theory and stochastic processes (60-XX) 10 Numerical analysis (65-XX) 8 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 4 Functional analysis (46-XX) 3 Real functions (26-XX) 2 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

127 Publications have been cited 6,089 times in 4,575 Documents Cited by Year
Weak convergence and empirical processes. With applications to statistics. Zbl 0862.60002
van der Vaart, Aad; Wellner, Jon A.
1996
Empirical processes with applications to statistics. Zbl 1170.62365
Shorack, Galen R.; Wellner, Jon A.
1986
Efficient and adaptive estimation for semiparametric models. Zbl 0786.62001
Bickel, Peter J.; Klaassen, Chris A. J.; Ritov, Ya’acov; Wellner, Jon A.
1993
Information bounds and nonparametric maximum likelihood estimation. Zbl 0757.62017
Groeneboom, Piet; Wellner, Jon A.
1992
Efficient and adaptive estimation for semiparametric models. Zbl 0894.62005
Bickel, Peter J.; Klaassen, Chris A. J.; Ritov, Ya’acov; Wellner, Jon A.
1998
Information and asymptotic efficiency in parametric-nonparametric models. Zbl 0526.62045
Begun, Janet M.; Hall, W. J.; Huang, Wei-Min; Wellner, Jon A.
1983
Large sample theory of empirical distributions in biased sampling models. Zbl 0668.62024
Gill, Richard D.; Vardi, Yehuda; Wellner, Jon A.
1988
Exchangeably weighted bootstraps of the general empirical process. Zbl 0792.62038
Præstgaard, Jens; Wellner, Jon A.
1993
Estimation of a convex function: Characterizations and asymptotic theory. Zbl 1043.62027
Groeneboom, Piet; Jongbloed, Geurt; Wellner, Jon A.
2001
Confidence bands for a survival curve from censored data. Zbl 0423.62078
Hall, W. J.; Wellner, Jon A.
1980
Two estimators of the mean of a counting process with panel count data. Zbl 1105.62372
Wellner, Jon A.; Zhang, Ying
2000
Limit theorems for the ratio of the empirical distribution function to the true distribution function. Zbl 0382.60031
Wellner, Jon A.
1978
Empirical processes with applications to statistics. Reprint of the 1986 original ed. Zbl 1171.62057
Shorack, Galen R.; Wellner, Jon A.
2009
Goodness-of-fit tests via phi-divergences. Zbl 1126.62030
Jager, Leah; Wellner, Jon A.
2007
Two likelihood-based semiparametric estimation methods for panel count data with covariates. Zbl 1126.62084
Wellner, Jon A.; Zhang, Ying
2007
Likelihood ratio tests for monotone functions. Zbl 1043.62037
Banerjee, Moulinath; Wellner, Jon A.
2001
Weighted likelihood for semiparametric models and two-phase stratified samples, with application to Cox regression. Zbl 1142.62014
Breslow, Norman E.; Wellner, Jon A.
2007
Mean residual life. Zbl 0481.62078
Hall, W. J.; Wellner, Jon A.
1981
Efficient estimation in the bivariate normal copula model: Normal margins are least favourable. Zbl 0877.62055
Klaassen, Chris A. J.; Wellner, Jon A.
1997
Limit distribution theory for maximum likelihood estimation of a log-concave density. Zbl 1160.62008
Balabdaoui, Fadoua; Rufibach, Kaspar; Wellner, Jon A.
2009
Log-concavity and strong log-concavity: a review. Zbl 1360.62055
2014
A hybrid algorithm for computation of the nonparametric maximum likelihood estimator from censored data. Zbl 0889.62026
Wellner, Jon A.; Zhan, Yihui
1997
Empirical processes indexed by estimated functions. Zbl 1176.62050
van der Vaart, Aad W.; Wellner, Jon A.
2007
Preservation theorems for Glivenko-Cantelli and uniform Glivenko-Cantelli classes. Zbl 0967.60037
van der Vaart, Aad; Wellner, Jon A.
2000
A canonical process for estimation of convex functions: the “invelope” of integrated Brownian motion $$+t^ 4$$. Zbl 1043.62026
Groeneboom, Piet; Jongbloed, Geurt; Wellner, Jon A.
2001
Interval censored survival data: A review of recent progress. Zbl 0916.62077
Huang, Jian; Wellner, Jon A.
1997
Large sample theory for semiparametric regression models with two-phase, outcome dependent sampling. Zbl 1105.62335
Breslow, Norman; McNeney, Brad; Wellner, Jon A.
2003
Estimation of a $$k$$-monotone density: limit distribution theory and the spline connection. Zbl 1129.62019
2007
Strong limit theorems for oscillation moduli of the uniform empirical process. Zbl 0506.60025
Mason, David M.; Shorack, Galen R.; Wellner, Jon A.
1983
Nonparametric estimation of multivariate convex-transformed densities. Zbl 1204.62058
Seregin, Arseni; Wellner, Jon A.
2010
Maximum likelihood estimation of a multi-dimensional log-concave density. With discussion and authors’ reply. Zbl 1411.62055
Cule, Madeleine; Samworth, Richard; Stewart, Michael
2010
Asymptotic optimality of the product limit estimator. Zbl 0489.62036
Wellner, Jon A.
1982
Estimation of a monotone density or monotone hazard under random censoring. Zbl 0827.62032
Huang, Jian; Wellner, Jon A.
1995
Asymptotic normality of the NPMLE of linear functionals for interval censored data, case 1. Zbl 0832.62029
Huang, J.; Wellner, J. A.
1995
The support reduction algorithm for computing non-parametric function estimates in mixture models. Zbl 1199.65017
Groenboom, Piet; Jongbloed, Gerurt; Wellner, Jon A.
2008
Global rates of convergence of the MLEs of log-concave and $$s$$-concave densities. Zbl 1338.62101
Doss, Charles R.; Wellner, Jon A.
2016
Confidence intervals for current status data. Zbl 1087.62107
Banerjee, Moulinath; Wellner, Jon A.
2005
Inefficient estimators of the bivariate survival function for three models. Zbl 0855.62024
Gill, Richard D.; Van der Laan, Mark J.; Wellner, Jon A.
1995
A Glivenko-Cantelli theorem and strong laws of large numbers for functions of order statistics. Zbl 0365.62045
Wellner, Jon A.
1977
The rate of convergence in law of the maximum of an exponential sample. Zbl 0417.62013
Hall, W. J.; Wellner, Jon A.
1979
Current status data with competing risks: consistency and rates of convergence of the MLE. Zbl 1360.62123
Groeneboom, Piet; Maathuis, Marloes H.; Wellner, Jon A.
2008
Efficient estimation of linear functionals of a probability measure $$P$$ with known marginal distributions. Zbl 0742.62034
Bickel, Peter J.; Ritov, Ya’acov; Wellner, Jon A.
1991
Nemirovski’s inequalities revisited. Zbl 1213.60039
Dümbgen, Lutz; van de Geer, Sara A.; Veraar, Mark C.; Wellner, Jon A.
2010
On the distribution of Brownian areas. Zbl 0870.60035
Perman, Mihael; Wellner, Jon A.
1996
On the semi-parametric efficiency of logistic regression under case-control sampling. Zbl 0965.62033
Breslow, Norman E.; Robins, James M.; Wellner, Jon A.
2000
A heavy censoring limit theorem for the product limit estimator. Zbl 0609.62061
Wellner, Jon A.
1985
A local maximal inequality under uniform entropy. Zbl 1268.60027
van der Vaart, Aad; Wellner, Jon A.
2011
Current status data with competing risks: Limiting distribution of the MLE. Zbl 1216.62047
Groeneboom, Piet; Maathuis, Marloes H.; Wellner, Jon A.
2008
Oscillating Brownian motion. Zbl 0391.60072
Keilson, Julian; Wellner, Jon A.
1978
Linear bounds on the empirical distribution function. Zbl 0376.60034
Shorack, Galen R.; Wellner, Jon A.
1978
On the Grenander estimator at zero. Zbl 1214.62037
Balabdaoui, Fadoua; Jankowski, Hanna; Pavlides, Marios; Seregin, Arseni; Wellner, Jon
2011
Approximation and estimation of $$s$$-concave densities via Rényi divergences. Zbl 1338.62105
Han, Qiyang; Wellner, Jon A.
2016
Censoring, martingales, and the Cox model. Zbl 0684.62072
Ritov, Ya’acov; Wellner, Jon A.
1988
Weighted likelihood estimation under two-phase sampling. Zbl 1347.62033
Saegusa, Takumi; Wellner, Jon A.
2013
Entropy estimate for high-dimensional monotonic functions. Zbl 1221.62008
Gao, Fuchang; Wellner, Jon A.
2007
A law of the iterated logarithm for functions of order statistics. Zbl 0365.62046
Wellner, Jon A.
1977
Uniform Donsker classes of functions. Zbl 0763.60012
Sheehy, Anne; Wellner, Jon A.
1992
Permutation tests for directional data. Zbl 0417.62044
Wellner, Jon A.
1979
Interval censoring, case 2: Alternative hypotheses. Zbl 0876.62044
Wellner, Jon A.
1995
Current status regression. Zbl 1033.62021
Murphy, S. A.; van der Vaart, A. W.; Wellner, J. A.
1999
Estimation of a discrete monotone distribution. Zbl 1326.62038
Jankowski, Hanna K.; Wellner, Jon A.
2009
Limit theorems and inequalities for the uniform empirical process indexed by intervals. Zbl 0497.60026
Shorack, Galen R.; Wellner, Jon A.
1982
Nonparametric estimation of a convex bathtub-shaped hazard function. Zbl 1200.62025
Jankowski, Hanna K.; Wellner, Jon A.
2009
Application of convolution theorems in semiparametric models with non-i. i. d. data. Zbl 0970.62031
2000
Convergence rates of least squares regression estimators with heavy-tailed errors. Zbl 1466.60033
Han, Qiyang; Wellner, Jon A.
2019
A note on the asymptotic distribution of Berk-Jones type statistics under the null hypothesis. Zbl 1042.62009
2003
Information bounds for Cox regression models with missing data. Zbl 1097.62097
Nan, Bin; Emond, Mary J.; Wellner, Jon A.
2004
Integrated Brownian motion, conditioned to be positive. Zbl 0983.60078
Groeneboom, Piet; Jongbloed, Geurt; Wellner, Jon A.
1999
Ratio limit theorems for empirical processes. Zbl 1055.60019
Giné, Evarist; Koltchinskii, Vladimir; Wellner, Jon A.
2003
Marshall’s lemma for convex density estimation. Zbl 1176.62029
Dümbgen, Lutz; Rufibach, Kaspar; Wellner, Jon A.
2007
Computation of nonparametric convex hazard estimators via profile methods. Zbl 1161.62014
Jankowski, Hanna K.; Wellner, Jon A.
2009
Existence and consistency of maximum likelihood in upgraded mixture models. Zbl 0752.62026
van der Vaart, A. W.; Wellner, Jon A.
1992
Necessary and sufficient conditions for weak consistency of the median of independent but not identically distributed random variables. Zbl 0934.62052
Mizera, Ivan; Wellner, Jon A.
1998
Inconsistency of the MLE for the joint distribution of interval-censored survival times and continuous marks. Zbl 1164.62076
Maathuis, Harloes H.; Wellner, Jon A.
2008
A Kiefer-Wolfowitz theorem for convex densities. Zbl 1176.62051
2007
Some properties of weighted multivariate empirical processes. Zbl 0548.60023
Ruymgaart, F. H.; Wellner, J. A.
1984
On the rate of convergence of the maximum likelihood estimator of a $$k$$-monotone density. Zbl 1176.62031
Gao, FuChang; Wellner, Jon A.
2009
Distributions related to linear bounds for the empirical distribution function. Zbl 0368.62027
Wellner, Jon A.
1977
Chernoff’s density is log-concave. Zbl 1294.60100
2014
Empirical processes in action: A review. Zbl 0757.62028
Wellner, Jon A.
1992
A Glivenko-Cantelli theorem for empirical measures of independent but non-identically distributed random variables. Zbl 0458.60023
Wellner, Jon A.
1981
Efron’s monotonicity property for measures on $$\mathbb{R}^2$$. Zbl 1387.60041
2018
Consistency of semiparametric maximum likelihood estimators for two-phase sampling. Zbl 0976.62017
van der Vaart, Aad; Wellner, Jon A.
2001
Strong log-concavity is preserved by convolution. Zbl 1271.60034
Wellner, Jon A.
2013
On the “Poisson boundaries” of the family of weighted Kolmogorov statistics. Zbl 1268.62043
Jager, Leah; Wellner, Jon A.
2004
A Z-theorem with estimated nuisance parameters and correction note for ’Weighted likelihood for semiparametric models and two-phase stratified samples, with application to Cox regression’. Zbl 1164.62012
Beslow, Norman E.; Wellner, Jon A.
2008
A law of the iterated logarithm for Grenander’s estimator. Zbl 1351.60032
Dümbgen, Lutz; Wellner, Jon A.; Wolff, Malcolm
2016
A characterization of weak convergence of weighted multivariate empirical processes. Zbl 0655.60018
Einmahl, J. H. J.; Ruymgaart, F. H.; Wellner, J. A.
1988
Significance points for some tests of uniformity on the sphere. Zbl 0533.62046
Keilson, J.; Petrondas, D.; Sumita, U.; Wellner, J.
1983
A general semiparametric Z-estimation approach for case-cohort studies. Zbl 06202702
Nan, Bin; Wellner, Jon A.
2013
How many Laplace transforms of probability measures are there? Zbl 1206.60020
Gao, Fuchang; Li, Wenbo V.; Wellner, Jon A.
2010
A martingale inequality for the empirical process. Zbl 0369.60051
Wellner, Jon A.
1977
A strong invariance theorem for the strong law of large numbers. Zbl 0377.60034
Wellner, Jon A.
1978
On the isoperimetric constant, covariance inequalities and $$L_{p}$$-Poincaré inequalities in dimension one. Zbl 1466.60034
2019
Squaring the circle and cubing the sphere: Circular and spherical copulas. Zbl 1360.60046
Perlman, Michael D.; Wellner, Jon A.
2011
Univariate log-concave density estimation with symmetry or modal constraints. Zbl 1422.62137
Doss, Charles R.; Wellner, Jon A.
2019
Semiparametric models: Progress and problems. Zbl 0646.62022
Wellner, Jon A.
1985
Nonparametric estimation of multivariate scale mixtures of uniform densities. Zbl 1352.62049
Pavlides, Marios G.; Wellner, Jon A.
2012
A note on bounds for VC dimensions. Zbl 1243.60009
Wellner, Jon A.; van der Vaart, Aad
2009
Gaussian white noise models: some results for monotone functions. Zbl 1255.62100
Wellner, Jon A.
2003
Complex sampling designs: uniform limit theorems and applications. Zbl 1475.62090
Han, Qiyang; Wellner, Jon A.
2021
Bounding distributional errors via density ratios. Zbl 07370691
Dümbgen, Lutz; Samworth, Richard J.; Wellner, Jon A.
2021
The density ratio of Poisson binomial versus Poisson distributions. Zbl 1450.60012
Dümbgen, Lutz; Wellner, Jon A.
2020
Convergence rates of least squares regression estimators with heavy-tailed errors. Zbl 1466.60033
Han, Qiyang; Wellner, Jon A.
2019
On the isoperimetric constant, covariance inequalities and $$L_{p}$$-Poincaré inequalities in dimension one. Zbl 1466.60034
2019
Univariate log-concave density estimation with symmetry or modal constraints. Zbl 1422.62137
Doss, Charles R.; Wellner, Jon A.
2019
Inference for the mode of a log-concave density. Zbl 1439.62098
Doss, Charles R.; Wellner, Jon A.
2019
Efron’s monotonicity property for measures on $$\mathbb{R}^2$$. Zbl 1387.60041
2018
A conversation with Jon Wellner. Zbl 1407.01015
Banerjee, Moulinath; Samworth, Richard J.
2018
Entropy of convex functions on $$\mathbb R^d$$. Zbl 1381.52016
Gao, Fuchang; Wellner, Jon A.
2017
The Bennett-Orlicz norm. Zbl 1378.60052
Wellner, Jon A.
2017
Exponential bounds for the hypergeometric distribution. Zbl 1392.62052
Greene, Evan; Wellner, Jon A.
2017
Global rates of convergence of the MLEs of log-concave and $$s$$-concave densities. Zbl 1338.62101
Doss, Charles R.; Wellner, Jon A.
2016
Approximation and estimation of $$s$$-concave densities via Rényi divergences. Zbl 1338.62105
Han, Qiyang; Wellner, Jon A.
2016
A law of the iterated logarithm for Grenander’s estimator. Zbl 1351.60032
Dümbgen, Lutz; Wellner, Jon A.; Wolff, Malcolm
2016
On convex least squares estimation when the truth is linear. Zbl 1332.62056
Chen, Yining; Wellner, Jon A.
2016
The mathematical work of Evarist Giné. Zbl 1376.01013
Koltchinskii, Vladimir; Nickl, Richard; Van de Geer, Sara; Wellner, Jon A.
2016
Fechner’s distribution and connections to skew Brownian motion. Zbl 1356.62026
Wellner, Jon A.
2016
Z-estimation and stratified samples: application to survival models. Zbl 1333.62237
Breslow, Norman E.; Hu, Jie; Wellner, Jon A.
2015
Log-concavity and strong log-concavity: a review. Zbl 1360.62055
2014
Chernoff’s density is log-concave. Zbl 1294.60100
2014
Information bounds for Gaussian copulas. Zbl 1321.62054
Hoff, Peter D.; Niu, Xiaoyue; Wellner, Jon A.
2014
An excursion approach to maxima of the Brownian bridge. Zbl 1306.60115
Perman, Mihael; Wellner, Jon A.
2014
Weighted likelihood estimation under two-phase sampling. Zbl 1347.62033
Saegusa, Takumi; Wellner, Jon A.
2013
Strong log-concavity is preserved by convolution. Zbl 1271.60034
Wellner, Jon A.
2013
A general semiparametric Z-estimation approach for case-cohort studies. Zbl 06202702
Nan, Bin; Wellner, Jon A.
2013
Global rates of convergence of the MLE for multivariate interval censoring. Zbl 1336.62128
Gao, Fuchang; Wellner, Jon A.
2013
Nonparametric estimation of multivariate scale mixtures of uniform densities. Zbl 1352.62049
Pavlides, Marios G.; Wellner, Jon A.
2012
A local maximal inequality under uniform entropy. Zbl 1268.60027
van der Vaart, Aad; Wellner, Jon A.
2011
On the Grenander estimator at zero. Zbl 1214.62037
Balabdaoui, Fadoua; Jankowski, Hanna; Pavlides, Marios; Seregin, Arseni; Wellner, Jon
2011
Squaring the circle and cubing the sphere: Circular and spherical copulas. Zbl 1360.60046
Perlman, Michael D.; Wellner, Jon A.
2011
Nonparametric estimation of multivariate convex-transformed densities. Zbl 1204.62058
Seregin, Arseni; Wellner, Jon A.
2010
Maximum likelihood estimation of a multi-dimensional log-concave density. With discussion and authors’ reply. Zbl 1411.62055
Cule, Madeleine; Samworth, Richard; Stewart, Michael
2010
Nemirovski’s inequalities revisited. Zbl 1213.60039
Dümbgen, Lutz; van de Geer, Sara A.; Veraar, Mark C.; Wellner, Jon A.
2010
How many Laplace transforms of probability measures are there? Zbl 1206.60020
Gao, Fuchang; Li, Wenbo V.; Wellner, Jon A.
2010
Empirical processes with applications to statistics. Reprint of the 1986 original ed. Zbl 1171.62057
Shorack, Galen R.; Wellner, Jon A.
2009
Limit distribution theory for maximum likelihood estimation of a log-concave density. Zbl 1160.62008
Balabdaoui, Fadoua; Rufibach, Kaspar; Wellner, Jon A.
2009
Estimation of a discrete monotone distribution. Zbl 1326.62038
Jankowski, Hanna K.; Wellner, Jon A.
2009
Nonparametric estimation of a convex bathtub-shaped hazard function. Zbl 1200.62025
Jankowski, Hanna K.; Wellner, Jon A.
2009
Computation of nonparametric convex hazard estimators via profile methods. Zbl 1161.62014
Jankowski, Hanna K.; Wellner, Jon A.
2009
On the rate of convergence of the maximum likelihood estimator of a $$k$$-monotone density. Zbl 1176.62031
Gao, FuChang; Wellner, Jon A.
2009
A note on bounds for VC dimensions. Zbl 1243.60009
Wellner, Jon A.; van der Vaart, Aad
2009
The support reduction algorithm for computing non-parametric function estimates in mixture models. Zbl 1199.65017
Groenboom, Piet; Jongbloed, Gerurt; Wellner, Jon A.
2008
Current status data with competing risks: consistency and rates of convergence of the MLE. Zbl 1360.62123
Groeneboom, Piet; Maathuis, Marloes H.; Wellner, Jon A.
2008
Current status data with competing risks: Limiting distribution of the MLE. Zbl 1216.62047
Groeneboom, Piet; Maathuis, Marloes H.; Wellner, Jon A.
2008
Inconsistency of the MLE for the joint distribution of interval-censored survival times and continuous marks. Zbl 1164.62076
Maathuis, Harloes H.; Wellner, Jon A.
2008
A Z-theorem with estimated nuisance parameters and correction note for ’Weighted likelihood for semiparametric models and two-phase stratified samples, with application to Cox regression’. Zbl 1164.62012
Beslow, Norman E.; Wellner, Jon A.
2008
Goodness-of-fit tests via phi-divergences. Zbl 1126.62030
Jager, Leah; Wellner, Jon A.
2007
Two likelihood-based semiparametric estimation methods for panel count data with covariates. Zbl 1126.62084
Wellner, Jon A.; Zhang, Ying
2007
Weighted likelihood for semiparametric models and two-phase stratified samples, with application to Cox regression. Zbl 1142.62014
Breslow, Norman E.; Wellner, Jon A.
2007
Empirical processes indexed by estimated functions. Zbl 1176.62050
van der Vaart, Aad W.; Wellner, Jon A.
2007
Estimation of a $$k$$-monotone density: limit distribution theory and the spline connection. Zbl 1129.62019
2007
Entropy estimate for high-dimensional monotonic functions. Zbl 1221.62008
Gao, Fuchang; Wellner, Jon A.
2007
Marshall’s lemma for convex density estimation. Zbl 1176.62029
Dümbgen, Lutz; Rufibach, Kaspar; Wellner, Jon A.
2007
A Kiefer-Wolfowitz theorem for convex densities. Zbl 1176.62051
2007
On an exponential bound for the Kaplan-Meier estimator. Zbl 1331.62258
Wellner, Jon A.
2007
Semiparametric models: a review of progress since BKRW (1993). Zbl 1121.62037
Wellner, Jon A.; Klaassen, Chris A. J.; Ritov, Ja&rsquo;acov
2006
Confidence intervals for current status data. Zbl 1087.62107
Banerjee, Moulinath; Wellner, Jon A.
2005
Score statistics for current status data: comparisons with likelihood ratio and Wald statistics. Zbl 1070.62087
Banerjee, Moulinath; Wellner, Jon A.
2005
Information bounds for Cox regression models with missing data. Zbl 1097.62097
Nan, Bin; Emond, Mary J.; Wellner, Jon A.
2004
On the “Poisson boundaries” of the family of weighted Kolmogorov statistics. Zbl 1268.62043
Jager, Leah; Wellner, Jon A.
2004
A semiparametric regression model for panel count data: when do pseudolikelihood estimators become badly inefficient? Zbl 1390.62051
Wellner, Jon A.; Zhang, Ying; Liu, Hao
2004
Large sample theory for semiparametric regression models with two-phase, outcome dependent sampling. Zbl 1105.62335
Breslow, Norman; McNeney, Brad; Wellner, Jon A.
2003
A note on the asymptotic distribution of Berk-Jones type statistics under the null hypothesis. Zbl 1042.62009
2003
Ratio limit theorems for empirical processes. Zbl 1055.60019
Giné, Evarist; Koltchinskii, Vladimir; Wellner, Jon A.
2003
Gaussian white noise models: some results for monotone functions. Zbl 1255.62100
Wellner, Jon A.
2003
High dimensional probability III. Third international conference on high dimensional probability, Sandjberg, Denmark, June 24–28, 2002. Selected papers. Zbl 1029.00032
2003
Computing the covariance of two Brownian area integrals. Zbl 1090.65512
Wellner, J. A.; Smythe, R. T.
2002
Estimation of a convex function: Characterizations and asymptotic theory. Zbl 1043.62027
Groeneboom, Piet; Jongbloed, Geurt; Wellner, Jon A.
2001
Likelihood ratio tests for monotone functions. Zbl 1043.62037
Banerjee, Moulinath; Wellner, Jon A.
2001
A canonical process for estimation of convex functions: the “invelope” of integrated Brownian motion $$+t^ 4$$. Zbl 1043.62026
Groeneboom, Piet; Jongbloed, Geurt; Wellner, Jon A.
2001
Consistency of semiparametric maximum likelihood estimators for two-phase sampling. Zbl 0976.62017
van der Vaart, Aad; Wellner, Jon A.
2001
Some converse limit theorems for exchangeable bootstraps. Zbl 1380.62185
Wellner, Jon A.
2001
Two estimators of the mean of a counting process with panel count data. Zbl 1105.62372
Wellner, Jon A.; Zhang, Ying
2000
Preservation theorems for Glivenko-Cantelli and uniform Glivenko-Cantelli classes. Zbl 0967.60037
van der Vaart, Aad; Wellner, Jon A.
2000
On the semi-parametric efficiency of logistic regression under case-control sampling. Zbl 0965.62033
Breslow, Norman E.; Robins, James M.; Wellner, Jon A.
2000
Application of convolution theorems in semiparametric models with non-i. i. d. data. Zbl 0970.62031
2000
Current status regression. Zbl 1033.62021
Murphy, S. A.; van der Vaart, A. W.; Wellner, J. A.
1999
Integrated Brownian motion, conditioned to be positive. Zbl 0983.60078
Groeneboom, Piet; Jongbloed, Geurt; Wellner, Jon A.
1999
Efficient and adaptive estimation for semiparametric models. Zbl 0894.62005
Bickel, Peter J.; Klaassen, Chris A. J.; Ritov, Ya&rsquo;acov; Wellner, Jon A.
1998
Necessary and sufficient conditions for weak consistency of the median of independent but not identically distributed random variables. Zbl 0934.62052
Mizera, Ivan; Wellner, Jon A.
1998
Efficient estimation in the bivariate normal copula model: Normal margins are least favourable. Zbl 0877.62055
Klaassen, Chris A. J.; Wellner, Jon A.
1997
A hybrid algorithm for computation of the nonparametric maximum likelihood estimator from censored data. Zbl 0889.62026
Wellner, Jon A.; Zhan, Yihui
1997
Interval censored survival data: A review of recent progress. Zbl 0916.62077
Huang, Jian; Wellner, Jon A.
1997
Uniform convergence in some limit theorems for multiple particle systems. Zbl 0942.60015
Giné, Evarist; Wellner, Jon A.
1997
Weak convergence and empirical processes. With applications to statistics. Zbl 0862.60002
van der Vaart, Aad; Wellner, Jon A.
1996
On the distribution of Brownian areas. Zbl 0870.60035
Perman, Mihael; Wellner, Jon A.
1996
Regression models with interval censoring. Zbl 0865.62043
Huang, Jian; Wellner, Jon A.
1996
Estimation of a monotone density or monotone hazard under random censoring. Zbl 0827.62032
Huang, Jian; Wellner, Jon A.
1995
Asymptotic normality of the NPMLE of linear functionals for interval censored data, case 1. Zbl 0832.62029
Huang, J.; Wellner, J. A.
1995
Inefficient estimators of the bivariate survival function for three models. Zbl 0855.62024
Gill, Richard D.; Van der Laan, Mark J.; Wellner, Jon A.
1995
Interval censoring, case 2: Alternative hypotheses. Zbl 0876.62044
Wellner, Jon A.
1995
Efficient and adaptive estimation for semiparametric models. Zbl 0786.62001
Bickel, Peter J.; Klaassen, Chris A. J.; Ritov, Ya&rsquo;acov; Wellner, Jon A.
1993
Exchangeably weighted bootstraps of the general empirical process. Zbl 0792.62038
Præstgaard, Jens; Wellner, Jon A.
1993
Information bounds and nonparametric maximum likelihood estimation. Zbl 0757.62017
Groeneboom, Piet; Wellner, Jon A.
1992
Uniform Donsker classes of functions. Zbl 0763.60012
Sheehy, Anne; Wellner, Jon A.
1992
Existence and consistency of maximum likelihood in upgraded mixture models. Zbl 0752.62026
van der Vaart, A. W.; Wellner, Jon A.
1992
Empirical processes in action: A review. Zbl 0757.62028
Wellner, Jon A.
1992
Kac empirical processes and the bootstrap. Zbl 0802.60030
Klaassen, Chris A. J.; Wellner, Jon A.
1992
Efficient estimation of linear functionals of a probability measure $$P$$ with known marginal distributions. Zbl 0742.62034
Bickel, Peter J.; Ritov, Ya&rsquo;acov; Wellner, Jon A.
1991
...and 27 more Documents
all top 5

### Cited by 4,503 Authors

 64 Wellner, Jon August 51 Sun, Jianguo 42 Van Keilegom, Ingrid 41 Schick, Anton 37 Bouzebda, Salim 37 Sun, Liuquan 36 Mendelson, Shahar 33 Horváth, Lajos 33 Mason, David M. 32 Einmahl, John H. J. 32 Van der Vaart, Adrianus Willem 28 Groeneboom, Piet 27 Dette, Holger 27 Shen, Pao-Sheng 27 Wefelmeyer, Wolfgang 24 Ghosal, Subhashis 24 Van de Geer, Sara Anna 23 Deheuvels, Paul 22 Zhao, Xingqiu 21 Qin, Jing 20 Cai, Jianwen 20 Escanciano, Juan Carlos 20 Jongbloed, Geurt 20 Kato, Kengo 20 Kosorok, Michael R. 20 Nishiyama, Yoichi 20 Quessy, Jean-François 20 Segers, Johan 20 Zhou, Yong 19 Banerjee, Moulinath 19 Sen, Bodhisattva 19 Zitikis, Ričardas 18 Berkes, István 18 Bücher, Axel 18 Kolchinskiĭ, Vladimir I’ich 18 Samworth, Richard J. 18 Tong, Xingwei 18 Van der Laan, Mark Johannes 17 Chernozhukov, Victor 17 Csörgő, Miklós 17 Guillou, Armelle 17 Huang, Jian 17 Janssen, Arnold 17 McKeague, Ian W. 17 Neumeyer, Natalie 17 Zeng, Donglin 16 Genest, Christian 16 Giné-Masdéu, Evarist 16 Hu, Tao 16 Linton, Oliver Bruce 16 Matrán, Carlos 16 Müller, Ursula U. 16 Stute, Winfried 16 Volgushev, Stanislav 15 Dümbgen, Lutz 15 Hallin, Marc 15 Ma, Yanyuan 15 Ruymgaart, Frits H. 15 Yu, Qiqing 15 Yuan, Ao 14 Balabdaoui, Fadoua 14 Cheng, Guang 14 Kojadinovic, Ivan 14 Liu, Yanyan 14 Nickl, Richard 13 Durot, Cécile 13 Lian, Heng 13 Ma, Shuangge 13 Mojirsheibani, Majid 13 Munk, Axel 13 Omelka, Marek 13 Park, Byeong Uk 13 Patilea, Valentin 13 Peng, Liang 13 Rémillard, Bruno N. 13 Veraverbeke, Noël 13 Wang, Qihua 13 Zähle, Henryk 12 Aistleitner, Christoph 12 Drees, Holger 12 Dupuy, Jean-François 12 El Barmi, Hammou 12 Ferger, Dietmar 12 Gijbels, Irène 12 González-Manteiga, Wenceslao 12 Hall, Peter Gavin 12 Klaassen, Chris A. J. 12 Mammen, Enno 12 Nan, Bin 12 Robins, James M. 12 Zhu, Lixing 11 Bickel, Peter John 11 Bühlmann, Peter 11 Dauxois, Jean-Yves 11 del Barrio, Eustasio 11 Fan, Jianqing 11 Jin, Jiashun 11 Lecué, Guillaume 11 Liang, Hua 11 Lopuhaä, Hendrik P. ...and 4,403 more Authors
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### Cited in 298 Serials

 471 The Annals of Statistics 308 Journal of Statistical Planning and Inference 243 Journal of Multivariate Analysis 238 Journal of Econometrics 230 Statistics & Probability Letters 208 Electronic Journal of Statistics 152 Communications in Statistics. Theory and Methods 147 Bernoulli 135 Journal of Nonparametric Statistics 112 Computational Statistics and Data Analysis 109 Scandinavian Journal of Statistics 106 Annals of the Institute of Statistical Mathematics 101 Lifetime Data Analysis 98 Stochastic Processes and their Applications 73 Biometrics 66 Journal of the American Statistical Association 55 The Canadian Journal of Statistics 55 Probability Theory and Related Fields 54 Econometric Theory 49 Mathematical Methods of Statistics 45 Test 44 The Annals of Probability 38 Metrika 36 Statistics 36 Communications in Statistics. Simulation and Computation 36 Journal of Statistical Computation and Simulation 34 Journal of Theoretical Probability 31 Statistical Science 28 Journal of the Korean Statistical Society 26 Statistica Neerlandica 26 Statistical Papers 25 The Annals of Applied Probability 25 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 25 Journal of Machine Learning Research (JMLR) 24 Econometric Reviews 21 Insurance Mathematics & Economics 21 Acta Mathematicae Applicatae Sinica. English Series 21 Journal of the Royal Statistical Society. Series B. Statistical Methodology 21 Science China. Mathematics 19 Kybernetika 19 Journal of Applied Statistics 19 Acta Mathematica Sinica. English Series 17 Biometrical Journal 17 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 16 Computational Statistics 16 Extremes 16 Statistics and Computing 15 Journal of Applied Probability 15 Journal of Complexity 15 Journal of Mathematical Sciences (New York) 15 Statistical Methodology 15 Journal of Statistical Theory and Practice 14 Statistica Sinica 13 Statistical Inference for Stochastic Processes 12 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 12 Journal of Time Series Analysis 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Sankhyā. Series A 11 Journal of Mathematical Analysis and Applications 11 Journal of Computational and Applied Mathematics 11 Proceedings of the American Mathematical Society 11 Journal of Systems Science and Complexity 11 Dependence Modeling 10 Advances in Applied Probability 10 Lithuanian Mathematical Journal 10 Transactions of the American Mathematical Society 10 Machine Learning 10 Neural Computation 9 Stochastic Analysis and Applications 9 Science in China. Series A 9 Economics Letters 9 Applied and Computational Harmonic Analysis 8 Theory of Probability and its Applications 8 European Journal of Operational Research 8 Mathematical Programming. Series A. Series B 8 Scandinavian Actuarial Journal 8 ASTIN Bulletin 8 The Annals of Applied Statistics 7 Journal of Approximation Theory 7 Journal of Functional Analysis 7 Electronic Journal of Probability 7 The Econometrics Journal 7 Methodology and Computing in Applied Probability 7 Statistical Methods and Applications 7 Journal of Probability and Statistics 6 Israel Journal of Mathematics 6 Journal of Statistical Physics 6 Constructive Approximation 6 Neural Networks 6 Brazilian Journal of Probability and Statistics 5 Communications in Mathematical Physics 5 Results in Mathematics 5 Acta Applicandae Mathematicae 5 Finance and Stochastics 5 Journal of Inequalities and Applications 5 AStA. Advances in Statistical Analysis 5 Journal of Computational and Graphical Statistics 5 Bayesian Analysis 5 Journal of Econometric Methods 5 SIAM/ASA Journal on Uncertainty Quantification ...and 198 more Serials
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### Cited in 48 Fields

 4,001 Statistics (62-XX) 1,275 Probability theory and stochastic processes (60-XX) 477 Numerical analysis (65-XX) 174 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 136 Computer science (68-XX) 99 Operations research, mathematical programming (90-XX) 67 Functional analysis (46-XX) 67 Biology and other natural sciences (92-XX) 35 Partial differential equations (35-XX) 29 Convex and discrete geometry (52-XX) 29 Information and communication theory, circuits (94-XX) 27 Statistical mechanics, structure of matter (82-XX) 24 Harmonic analysis on Euclidean spaces (42-XX) 22 Combinatorics (05-XX) 22 Approximations and expansions (41-XX) 21 Number theory (11-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 21 Measure and integration (28-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 20 Systems theory; control (93-XX) 19 Integral equations (45-XX) 18 Dynamical systems and ergodic theory (37-XX) 16 Operator theory (47-XX) 15 Real functions (26-XX) 9 Special functions (33-XX) 8 History and biography (01-XX) 8 Ordinary differential equations (34-XX) 8 Integral transforms, operational calculus (44-XX) 8 Fluid mechanics (76-XX) 7 Astronomy and astrophysics (85-XX) 7 Geophysics (86-XX) 6 Quantum theory (81-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 General and overarching topics; collections (00-XX) 3 Manifolds and cell complexes (57-XX) 2 Functions of a complex variable (30-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 2 Mechanics of deformable solids (74-XX) 2 Mathematics education (97-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX)