Jon A. Wellner

Address

Phone: (206) 543-6207
E-mail: jaw@stat.washington.edu

Education

Permanent Employment

• Professor of Statistics and Biostatistics, University of Washington, 1983-
• Associate Professor of Statistics, University of Rochester, 1979-1983
• Assistant Professor of Statistics, University of Rochester, 1975-1979

Temporary Employment

• Visiting Professor of Statistics, Free University of Amsterdam, 2003-2004
• Visiting Professor of Statistics, University of Leiden, 1987-1988
• Visiting Professor of Mathematics, Ludwig Maximillians Universitaet, Munich 1980-1981

Memberships

• Phi Beta Kappa
• Institute of Mathematical Statistics (Fellow)
• American Statistical Association (Fellow)
• American Association for the Advancement of Science (Fellow)
• Society for Industrial and Applied Mathematics (SIAM)
• American Mathematical Society
• Mathematical Association of America

Editorial Service

• Editor, Annals of Statistics, 2001-2003
• Associate Editor, Annals of Statistics, 1983-88; 1992-1994
• Associate Editor, Probability Theory and Related Fields, 2007-
• IMS Executive Editor, Statistical Surveys, 2007-2009

Selected Professional Activities

• External Review Committee for Statistics at Iowa State University, 2006
• Council, Institute of Mathematical Statistics, 2007-2010.
• IMS Program Secretary, 1994-1997

Books

• Empirical Process with Applications to Statistics
  (with Galen R. Shorack). Wiley, New York, 1986
  Reprinted by SIAM, 2009.
• Information Bounds and Nonparametric Maximum Likelihood Estimation
  (with Piet Groeneboom). DMV Seminar 19. Birhauser Verlag, Basel, 1992.
  
• Efficient and Adaptive Estimation for Semiparametric Models
  (with Peter J. Bickel, Chris A. J. Klaassen, and Ya'acov Ritov).
  Johns Hopkins University Press, Baltimore.
  
• Weak Convergence and Empirical Processes, With Applications to Statistics
  (with Aad W. van der Vaart). Springer-Verlag, New York.
  

Publications

• Nemirovski's inequalities revisited.
  American Mathematical Monthly 117 (2010), 138-160.
  (with Lutz Duembgen, Sara van de Geer, and Mark Veraar)
   
• Nonparametric estimation of a convex bathtub-shaped hazard function.
  Bernoulli, to appear. (with Hanna Jankowski)
   
• On the rate of convergence of the maximum likelihood estimator of a k-monotone density.
  Science in China Series A: Mathematics 52 (2009), 1-14. (with FuChang Gao)
   
• Limit distribution theory for maximum likelihood estimation of a log-concave density.
  Ann. Statist. 37 (2009), 1299-1331. (with Kaspar Rufibach and Fadoua Balabdaoui)
  arXiv:0708.3400
   
• The support reduction algorithm for computing nonparametric function estimates in mixture models.
  Scand. J. Statist. 35 (2008), 385-399. (with G. Jongbloed and P. Groeneboom).
  Math Reviews 2446726,   arXiv:math.ST/0405511
   
• Computation of nonparametric convex hazard estimators via profile methods.
  J. Nonparametric Statistics 21 (2009), 505-518. (with Hanna Jankowski)
   
• 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'.
  Scand. J. Statist. 35 (2008), 186-192. (with Norman Breslow)
  Math Reviews 2391566
   
• Inconsistency of the MLE for the joint distribution of interval-censored survival times and continuous marks.
  Scand. J. Statist. 35 (2008), 83-103. (with Marloes Maathuis)
  Math Reviews 2391560; Math Reviews 2009e:62392;   arXiv:0509084
   
• Current status data with competing risks: limiting distribution of the MLE.
  Ann. Statist. 36 (2008), 1064-1089. (with Piet Groeneboom and Marloes Maathuis)
  Math Reviews 2418649
   
• Current status data with competing risks: consistency and rates of convergence of the MLE.
  Ann. Statist. 36 (2008), 1031-1063. (with Piet Groeneboom and Marloes Maathuis)
  Math Reviews 2418648
   
• Estimation of a k-monotone density: limit distribution theory and the spline connection.
  Ann. Statist. 35 (2007), 2536-2564. (with Fadoua Balabdaoui)
  Math Reviews 2382657; Math Reviews 2009b:62077; Zbl 1129.62019
   
• Goodness-of-fit tests via phi-divergences.
  Ann. Statist. 35 (2007), 2018-2053. (with Leah Jager)
  Math Reviews 2363962; Math Reviews 2009a:62200; Zbl 1126.62030
   
• Two likelihood-based semiparametric estimation methods for panel count data with covariates.
  Ann. Statist. 35 (2007), 2106-2142. (with Ying Zhang)
  Math Reviews 2363965; Zbl 1126.62084
   
• Entropy estimate for high dimensional monotonic functions.
  Journal of Multivariate Analysis 98 (2007), 1751-1764. (with Fuchang Gao)
  Math Reviews 2392431; Math Reviews 2009a:62140;   Zbl pre05242920;   arXiv:0512641
   
• Weighted likelihood for semiparametric models and two-phase stratified samples, with application to Cox regression.
  Scand. J. Statist. 34 (2007), 86 - 102. (with Norman Breslow)
  Math Reviews 2325244; Zbl pre05220320
   
• Confidence intervals for current status data.
  Scand. J. Statist. 32 (2005), 404 - 425. (with Moulinath Banerjee).
  Math Reviews 2204627; Zbl 1070.62087
   
• Information bounds for Cox regression models with missing data.
  Ann. Statist. 32 (2004), 723 - 753. (with Bin Nan and Mary Emond).
  Math Reviews 2005c:62032;   Zbl 1097.62097;   arXiv:math.ST/0406452
   
• Large sample theory for semiparametric regression models with two-phase outcome dependent sampling.
  Ann. Statist. 31 (2003), 1110-1139. (with B. McNeney and N. Breslow). Via the Berkeley Electronic Press
  Math Reviews 2004m:62103; Zbl 1105.62335
   
• Asymptotic analysis of (3,2,1)-Shellsort.
  Random Structures and Algorithms 21 (2002), 59 - 75. (with R. T. Smythe).
  Math Reviews 2004m:68299; Zbl 1037.68049
   
• Likelihood ratio tests for monotone functions.
  Ann. Statist. 29 (2001), 1699 - 1731. (with Moulinath Banerjee).
  Math Reviews 2003c:62072; Zbl 1043.62037.
   
• Estimation of a convex function: characterizations and asymptotic theory .
  Ann. Statist. 29 (2001), 1653 - 1698. (with Piet Groeneboom and Geurt Jongbloed).
  Math Reviews 2003a:62047; Zbl 1043.62027.
   
• A canonical process for estimation of convex functions: the ``invelope'' of integrated Brownian motion + t⁴ .
  Ann. Statist. 29 (2001), 1620 - 1652. (with Piet Groeneboom and Geurt Jongbloed).
  Math Reviews 2003c:62075; Zbl 1043.62026.
   
• Consistency of semiparametric maximum likelihood estimators for two-phase, outcome dependent sampling.
  Canad. J. Statist. 29 (2001), 269 - 288. (with A.W. van der Vaart).
  Math Reviews 2002g:62039; Zbl 0976.62017
   
• Computing the covariance of two Brownian area integrals.
  Statistica Neerl. 56 (2002), 101 - 109. (with Robert Smythe).
  Math Reviews 2003b:62146; Zbl 1090.65512
   
• Stochastic analysis of shell sort.
  Algorithmica 31 (2001), 442-457. (with Robert Smythe).
  Math Reviews 2002h:68041; Zbl 1064.68034
   
• Computing Chernoff's distribution.
  J. Comp. Graphical Statist. 10 (2001), 388 - 400. (with Piet Groeneboom).
  Math Reviews 1939706
   
• Two estimators of the mean of a counting process with panel count data.
  Ann. Statist. 28 (2000), 779 - 814. (with Ying Zhang).
  Math Reviews 2001i:62038 ; Zbl 1105.62372
   
• On the semiparametric efficiency of logistic regression under case-control sampling.
  Bernoulli 6 (2000), 447 - 455. (with N. E. Breslow and J. M. Robins).
  Math Reviews 2001c:62053; Zbl 0965.62033
   
• Current status regression.
  Mathematical Methods of Statistics 8 (1999), 407-425. (with S.A. Murphy and A. W. van der Vaart).
  Math Reviews 2001a:62126; Zbl 1033.62021
   
• Integrated Brownian motion, conditioned to be positive.
  Ann. Probability 27 (1999), 1283 - 1303. (with Piet Groeneboom and Geurt Jongbloed).
  Math Reviews 2000i:60092; Zbl 0983.60078
   
• Uniform convergence in some limit theorems for multiple particle systems.
  Stoch. Processes and their Applic. 72 (1997), 47 - 72. (with Evarist Giné).
  Math Reviews 99c:60042; Zbl 0942.60015
   
• Necessary and sufficient conditions for weak consistency of the median of independent but not identically distributed random variables.
  Ann. Statistics 26 (1998), 672 - 691. (with Ivan Mizera).
  Math Reviews 99d:62020; Zbl 0934.62052
   
• A hybrid algorithm for computation of the NPMLE from censored data.
  J. Amer. Statist. Assoc. 92 (1997), 945 - 959. (with Yihui Zhan).
  Math Reviews 98f:62114; Zbl 0889.62026
   
• Efficient Estimation in the Bivariate Normal Copula Model: Normal Margins are Least-Favorable.
  Bernoulli 3 (1997), 55 - 77. (with C.A.J. Klaassen).
  Math Reviews 98m:62102; Zbl 0877.62055
   
• On the distribution of Brownian areas.
  Ann. Appl. Probability 6 (1996), 1091 - 1111. (with M. Perman).
  Math Reviews 97m:60119; Zbl 0870.60035.
   
• Asymptotic normality of the NPMLE of the mean for interval censored data, case I.
  Statistica Neerlandica 49 (1995), 153 - 163. (with Jian Huang).
  Math Reviews 96g:62072; Zbl 0832.62029.
   
• Inefficient estimators of the bivariate survival function for three models.
  Ann. Inst. Henri Poincaré 31 (1995), 545 - 597. (with Richard Gill and Mark van der Laan).
  Math Reviews 96f:62060; Zbl 0855.62024.
   
• Estimation of a monotone density or monotone hazard under random censoring.
  Scand. J. Statist. 22 (1995), 3 - 33. (with Jian Huang).
  Math Reviews 96h:62068; Zbl 0827.62032.
   
• Covariance formulas via marginal martingales.
  Statistica Neerlandica, 48 (1994), 201 - 207.
  Math Reviews 96b:62158; Zbl 0829.62097.
   
• Exchangeably weighted bootstraps of the general empirical process.
  Ann. Probability 21 (1993), 2053 - 2086. (with Jens Praestgaard).
  Math Reviews 94k:60054; Zbl 792.62038
   
• Existence and consistency of maximum likelihood in upgraded mixture models.
  J. Mult. Anal. 43 (1992), 133 - 146. (with Aad van der Vaart).
  Math Reviews 93j:62140; Zbl 0752.62026.
   
• Empirical Processes in Action: A Review.
  Int. Statistical Review 60 (1992), 247 - 269.
  Zbl 757.62028
   
• Uniform Donsker classes of functions.
  Ann. Probability 20 (1992), 1983 - 2030. (with Anne Sheehy).
  Math Reviews 94f:60039; Zbl 0763.60012.
   
• Efficient estimation of linear functionals of a probability measure P with known marginal distributions.
  Ann. Statist. 19 (1991), 1316 - 1346. (with Peter Bickel and Ya'acov Ritov).
  Math Reviews 92i:62064; Zbl 0742.62034.
   
• A characterization of weak convergence of weighted multivariate empirical processes.
  Acta. Sci. Math. 52 (1988), 191 - 205. (with J. H. J. Einmahl and F. H. Ruymgaart).
  Math Reviews 89g:60120; Zbl 0655.60018.
   
• Large sample theory of empirical distributions in biased sampling models.
  Ann. Statist. 16 (1988), 1069 - 1112. (with Richard Gill and Yehuda Vardi).
  Math Reviews 89i:62061; Zbl 0668.62024.
   
• A heavy censoring limit theorem for the product limit estimator.
  Ann. Statist. 13 (1985), 150-162.
  Math Reviews 86f #62071, Zbl 0609.62061
   
• Some properties of weighted multivariate empirical processes.
  Statistics and Decisions 2 (1984), 199-223. (with F. H. Ruymgaart)
  Math Reviews 87i:60028; Zbl 0548.60023
   
• Strong limit theorems for oscillation moduli of the uniform empiricial process.
  Z. Wahrscheinlichkeitstheorie verw. Gebiete 65 (1983), 83-97. (with David M. Mason and G. R. Shorack)
  Math Reviews 85f #60048; Zbl 0506.60025
   
• Significance points for some tests of uniformity on the sphere.
  J. Statist. Comp. Simul. 17 (1983), 195-218. (with J. Keilson, D. Petrondas, and U. Sumita)
  Math Reviews 86c #62065; Zbl 0533.62046
   
• Information and asymptotic efficiency in parametric-nonparametric models.
  Ann. Statist. 11 (1983), 432-452. (with Janet M. Begun, W. J. Hall, and Wei-Min Huang)
  Math Reviews 85k #62066; Zbl 0526.62045
   
• Asymptotic optimality of the product limit estimator.
  Ann. Statist. 10 (1982), 595-602.
  Math Reviews 84d #62095; Zbl 0489.62036
   
• Limit theorems and inequalities for the uniform empirical process indexed by intervals.
  Ann. Probability 10 (1982), 639-652. (with G. R. Shorack)
  Math Reviews 84f #60041; Zbl 0497.60026
   
• A Glivenko-Cantelli theorem for empirical measures of independent but not identically distributed random variables.
  Stochastic Processes and Their Applications 11 (1981), 309-312.
  Math Reviews 82k #60054; Zbl 0458.60023
   
• Confidence bands for a survival curve from censored data.
  Biometrika 67 (1980), 133-143. (with W. J. Hall)
  Math Reviews 81i #62083; Zbl 0423.62078
   
• The rate of convergence in law of the maximum of an exponential sample.
  Statistica Neerlandica 33 (1979), 151-154. (with W. J. Hall)
  Math Reviews 80k #60029; Zbl 0417.62013
   
• Permutation tests for directional data.
  Ann. Statist. 7 (1979), 929-964.
  Math Reviews 80h #62036; Zbl 0417.62044
   
• Limit theorems for the ratio of the empirical distribution function to the true distribution function.
  Z. Wahrscheinlichkeitstheorie verw. Gebiete 45 (1978), 73-88.
  Math Reviews 58 #31356; Zbl 0382.60031
   
• A strong invariance theorem for the strong law of large numbers.
  Ann. Probability 6 (1978), 673-679.
  Math Reviews 58 #2999; Zbl 0377.60034
   
• Oscillating Brownian motion.
  J. Appl. Prob. 15 (1978), 300-310. (with J. Keilson)
  Math Reviews 57 #14164; Zbl 0391.60072
   
• A law of the iterated logarithm for functions of order statistics.
  Ann. Statist. 5 (1977), 481-494.
  Math Reviews 55 #9244; Zbl 0365.62046
   
• Linear bounds for the empirical distribution function.
  Ann. Probability 6 (1978), 349-353. (with G. R. Shorack)
  Math Reviews 57 #7743; Zbl 0376.60034
   
• Distributions related to linear bounds for the empirical distribution function.
  Ann. Statist. 5 (1977), 1003-1016.
  Math Reviews 56 #16873; Zbl 0368.62027
   
• A Glivenko-Cantelli theorem and strong laws of large numbers for functions of order statistics.
  Ann. Statist. 5 (1977), 473-480. Correction, Ann. Statist. 6 1394.
  Math Reviews 58 #31359a,b; Zbl 0365.62045
   
• A martingale inequality for the empirical process.
  Ann. Probability 5 (1977), 303-308.
  Math Reviews 55 #9243; Zbl 0369.60051
   

Former Doctoral Students

• Marios Pavlides (Statistics): Nonparametric estimation of multivariate monotone densities.
  (Finished June 2008).
• Marloes Maathuis (Statistics; joint with Piet Groeneboom, Delft):
  Nonparametric estimation for current status data with competing risks.
  (Finished June 2006; Assistant Professor, ETH Zurich).
• Leah Jager (Statistics): Goodness-of-fit statistics based on phi-divergences.
  (Finished June, 2006; Assistant Professor of Mathematics, U.S. Naval Academy, Anapolis).
• Hao Liu (Biostatistics): Semiparametric marginal mean models for multivariate counting processes.
  (Finished August 2004). Assistant Professor, Division of Biostatistics, D. L. Duncan Cancer Center, Baylor University.
• Fadoua Balabdaoui (Statistics): Nonparametric estimation of a k-monotone density: a new asymptotic distribution theory.
  (Finished May 2004). Assistant Professor of Statistics, University of Paris - Dauphine.
• Shuguang Song (Statistics): Estimation with bivariate interval-censored data.
  (Finished December 2001).
• Bin Nan (Biostatistics): Information bounds and efficient estimates for two-phase designs with lifetime data.
  (Finished July 2001). Associate Professor, University of Michigan, Biostatistics.
• Moulinath Banerjee (Statistics): Likelihood Ratio Tests in Some Semiparametric and Nonparametric Models
  (Finished November 2000). Associate Professor, University of Michigan, Statistics.
• Florentina Bunea (Statistics): A Model Selection Approach to Partially Linear Regression.
  (Finished July 2000). Associate Professor, Florida State University, Statistics.
• Nilanjan Chatterjee (joint with Norman Breslow, Biostatistics): (currently at Biostatistics Branch, National Cancer Institute).
  Semiparametric Inference Based on Estimating Equations in Regression Models for Two Phase Outcome Dependent Sampling.
  (Finished March, 1999).
• Eduardo Gomes (Statistics): Lifetime and Disease Onset Distributions from Incomplete Observations.
  (Finished February, 1999). Professor of Statistics, Universidade de Brasilia.
• Brad McNeney (Biostatistics): Asymptotic Efficiency in Semiparametric Models with non-i.i.d. Data.
  (Finished August, 1998). Associate Professor, Simon Fraser University, Statistics.
• Ying Zhang (Statistics): Estimation for Counting Processes with Incomplete Data.
  (Finished June, 1998). Associate Professor, University of Iowa, Biostatistics.
• Huilin Hu: Large sample theory for Pseudo-Maximum Likelihood Estimation in Semiparametric Models.
  (Finished February, 1998). Currently at Novartis Pharmaceutical Corp.
• Yihui Zhan: Bootstrapping functional M-estimators (Finished March, 1996). Currently at Rosetta.
• Jian Huang: Estimation in Regression Models with Interval Censoring.
  (Finished 1994). Professor of Statistics, University of Iowa, Statistics.
• Jens Praestgaard: General-Weights Bootstrap of the Empirical Process.
  (Finished 1991). Currently at Human Genome Sciences, Rockville Maryland; ajpraestgaard@earthlink.net.
• Luc Watelet: Nonparametric Estimation of Component Life Distributions in Meilijson's Competing Risks Model. (Finished 1990).
• Peter D. Sasieni: Beyond the Cox Model: Extensions of the Model and Alternative Estimators.
  (Finished 1989). Professor, Cancer Research UK Department of Epidemiology, Mathematics, and Statistics,
  Wolfson Institute of Preventative Medicine, Charterhouse Square, London EC1M 6BQ, UK.
• Russell Millar: Estimation of Mixing and Mixed Distributions.
  (Finished 1989). Currently Associate Professor of Statistics, University of Auckland, Auckland, New Zealand.
• Anne Sheehy: Kullback-Leibler Estimation of Probability Measures with an Application to Clustering.
  (Finished 1987). Currently in Biostatistics Group, University of Zurich.
• Gangaji Maguluri: Inference for a Bivariate Survival Function.
  (Finished 1986, University of Rochester).
• Melinda Hungerford Harder: Effects of Censoring on Robustness.
  (Finished 1985, University of Rochester). Lecturer, Bates College, Lewiston, Maine.
• Wei-Min Huang (joint with W. J. Hall): Parameter estimation when there are nuisance functions.
  (Finished 1982, University of Rochester). Professor of Mathematics, Lehigh University, Bethlehem, Pennsylvania
• Janet Begun: Estimation of Relative Risk in a Proportional Hazards Model.
  (Finished 1980, University of Rochester).

Current Doctoral Students

• Arseni Seregin (Statistics)
• Takumi Saegusa (Biostatistics).