Jon A. Wellner | Academic Influence

Jon A. Wellner's AcademicInfluence.com Rankings

Jon A. Wellner

Mathematics

#2931

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#4419

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Statistics

#126

World Rank

#166

Historical Rank

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Mathematics

Jon A. Wellner's Degrees

PhD Statistics University of Washington
Masters Statistics University of Washington
Bachelors Mathematics University of Washington

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Why Is Jon A. Wellner Influential?

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According to Wikipedia, Jon August Wellner is an American statistician known for his contributions to the fields of statistical inference, empirical process theory, and survival analysis. Education and career Wellner was born in Portland, Oregon, and grew up in various cities in the US. Wellner attended Ogden High School in Ogden, Utah and graduated in 1963. He went on to attend the University of Idaho in Moscow, Idaho, where he earned a Bachelor of Science degree in Mathematics and Physics in 1968. After a brief stint in graduate school at Yale University in 1969–1970 and serving in the U.S. Army Signal Corps from 1969 to 1971, he returned to graduate study in statistics at the University of Washington and received his Ph.D. in 1975 with Galen Shorack as his advisor.

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Jon A. Wellner's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Weak Convergence and Empirical Processes: With Applications to Statistics (1996) (5739)
Empirical Processes with Applications to Statistics (1987) (2689)
Efficient and Adaptive Estimation for Semiparametric Models. (1994) (1366)
Information Bounds and Nonparametric Maximum Likelihood Estimation (1992) (723)
Information and Asymptotic Efficiency in Parametric-Nonparametric Models (1983) (430)
Confidence bands for a survival curve from censored data (1980) (278)
Exchangeably Weighted Bootstraps of the General Empirical Process (1993) (259)
Large sample theory of empirical distributions in biased sampling models (1988) (242)
Estimation of a convex function: characterizations and asymptotic theory. (2001) (242)
Empirical Processes with Applications to Statistics. (1988) (238)
Log-Concavity and Strong Log-Concavity: a review. (2014) (215)
A Hybrid Algorithm for Computation of the Nonparametric Maximum Likelihood Estimator from Censored Data (1997) (208)
Interval Censored Survival Data: A Review of Recent Progress (1997) (203)
Two estimators of the mean of a counting process with panel count data (2000) (185)
Efficient estimation in the bivariate normal copula model: normal margins are least favourable (1997) (176)
High Dimensional Probability III (2003) (166)
Computing Chernoff's Distribution (2001) (151)
TWO LIKELIHOOD-BASED SEMIPARAMETRIC ESTIMATION METHODS FOR PANEL COUNT DATA WITH COVARIATES (2005) (151)
Limit theorems for the ratio of the empirical distribution function to the true distribution function (1978) (143)
Inefficient estimators of the bivariate survival function for three models (1995) (142)
GOODNESS-OF-FIT TESTS VIA PHI-DIVERGENCES (2006) (137)
Likelihood Ratio Tests for Monotone Functions (2001) (128)
Empirical processes indexed by estimated functions (2007) (124)
Preservation Theorems for Glivenko-Cantelli and Uniform Glivenko-Cantelli Classes (2000) (122)
Limit Distribution Theory for Maximum Likelihood Estimation of a Log-Concave Density. (2007) (121)
Weighted Likelihood for Semiparametric Models and Two‐phase Stratified Samples, with Application to Cox Regression (2005) (120)
Large Sample Theory for Semiparametric Regression Models with Two-Phase, Outcome Dependent Sampling (2003) (94)
Asymptotic normality of the NPMLE of linear functionals for interval censored data, case 1 (1995) (93)
Estimation of a Monotone Density or Monotone Hazard Under Random Censoring (1995) (93)
Estimation of a k-monotone density: limit distribution theory and the Spline connection (2005) (92)
A canonical process for estimation of convex functions: the "invelope" of integrated Brownian motion + t4. (2001) (87)
The Support Reduction Algorithm for Computing Non‐Parametric Function Estimates in Mixture Models (2004) (78)
Confidence Intervals for Current Status Data (2005) (75)
Asymptotic Optimality of the Product Limit Estimator (1982) (72)
GLOBAL RATES OF CONVERGENCE OF THE MLES OF LOG-CONCAVE AND s-CONCAVE DENSITIES. (2013) (71)
On the semi-parametric efficiency of logistic regression under case-control sampling (2000) (71)
A local maximal inequality under uniform entropy. (2010) (71)
Current status data with competing risks: Consistency and rates of convergence of the MLE (2006) (70)
NONPARAMETRIC ESTIMATION OF MULTIVARIATE CONVEX-TRANSFORMED DENSITIES. (2009) (70)
A Glivenko-Cantelli Theorem and Strong Laws of Large Numbers for Functions of Order Statistics (1977) (69)
Empirical Processes with Applications to Statistics (wiley Series in Probability and Mathematical Statistics) (2006) (66)
Strong limit theorems for oscillation moduli of the uniform empirical process (1983) (63)
The rate of convergence in law of the maximum of an exponential sample (1979) (62)
Nemirovski's Inequalities Revisited (2008) (61)
On the distribution of Brownian areas (1996) (61)
Permutation Tests for Directional Data (1979) (59)
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’ (2005) (57)
WEIGHTED LIKELIHOOD ESTIMATION UNDER TWO-PHASE SAMPLING. (2011) (57)
Estimation of a k‐monotone density: characterizations, consistency and minimax lower bounds (2010) (53)
Uniform Donsker Classes of Functions (1992) (53)
Entropy estimate for high-dimensional monotonic functions (2005) (52)
Estimation of a discrete monotone distribution. (2009) (52)
Interval censoring, case 2: alternative hypotheses (1995) (50)
CURRENT STATUS DATA WITH COMPETING RISKS: LIMITING DISTRIBUTION OF THE MLE. (2006) (48)
Multivariate convex regression: global risk bounds and adaptation (2016) (46)
Efficient estimation of linear functionals of a probability measure P with known marginal distributions (1991) (43)
Convergence rates of least squares regression estimators with heavy-tailed errors (2017) (43)
Information bounds for Cox regression models with missing data (2004) (43)
Oscillating Brownian motion (1978) (42)
Application of convolution theorems in semiparametric models with non-i.i.d. data (2000) (38)
A Heavy Censoring Limit Theorem for the Product Limit Estimator (1985) (38)
APPROXIMATION AND ESTIMATION OF s-CONCAVE DENSITIES VIA RÉNYI DIVERGENCES. (2015) (35)
Current Status Regression (1999) (34)
A note on bounds for VC dimensions. (2009) (34)
A Law of the Iterated Logarithm for Functions of Order Statistics (1977) (34)
On the rate of convergence of the maximum likelihood estimator of a k-monotone density (2009) (33)
Gaussian white noise models: some results for monotone functions (2003) (33)
Empirical Processes in Action: A Review (1992) (32)
Limit Theorems and Inequalities for the Uniform Empirical Process Indexed by Intervals (1982) (31)
Ratio Limit Theorems for Empirical Processes (2003) (30)
Linear Bounds on the Empirical Distribution Function (1978) (29)
Information bounds for Gaussian copulas. (2011) (28)
ON THE GRENANDER ESTIMATOR AT ZERO. (2009) (28)
A Note on the Asymptotic Distribution of Berk—Jones Type Statistics under the Null Hypothesis (2003) (27)
INTEGRATED BROWNIAN MOTION, CONDITIONED TO BE POSITIVE (1999) (26)
A Glivenko-Cantelli theorem for empirical measures of independent but non-identically distributed random variables (1981) (25)
Rates of Convergence (1996) (24)
A general semiparametric Z-estimation approach for case-cohort studies. (2012) (23)
Semiparametric models: progress and problems (1985) (21)
Exponential bounds for the hypergeometric distribution. (2015) (21)
Distributions Related to Linear Bounds for the Empirical Distribution Function (1977) (19)
Existence and consistency of maximum likelihood in upgraded mixture models (1992) (19)
Regression Models with Interval Censoring (1993) (19)
Acknowledgment of Priority : On the Integral of the Absolute Value of the Pinned Wiener Process (2007) (18)
Nonparametric estimation of a convex bathtub-shaped hazard function. (2008) (18)
A new goodness of fit test: the reversed Berk-Jones statistic (2005) (17)
Inconsistency of the MLE for the Joint Distribution of Interval‐Censored Survival Times and Continuous Marks (2005) (17)
UNIFORMITY IN P OF SOME LIMIT THEOREMS FOR EMPIRICAL MEASURES AND PROCESSES (1987) (17)
The Delta-Method (1996) (16)
Necessary and sufficient conditions for weak consistency of the median of independent but not identically distributed random variables (1998) (16)
A Kiefer-Wolfowitz theorem for convex densities (2007) (16)
Marshall's lemma for convex density estimation (2006) (16)
Significance Points for Some Tests of Uniformity on the Sphere. Revision. (1982) (16)
A Semiparametric Regression Model for Panel Count Data: When Do Pseudo-likelihood Estimators Become Badly Inefficient? (2004) (15)
Inference for the mode of a log-concave density (2016) (15)
A Martingale Inequality for the Empirical Process (1977) (15)
The Bennett-Orlicz Norm (2017) (14)
Confidence Bands for Distribution Functions: A New Look at the Law of the Iterated Logarithm (2014) (14)
SOME PROPERTIES OF WEIGHTED MULTIVARIATE EMPIRICAL PROCESSES (1984) (13)
On convex least squares estimation when the truth is linear. (2014) (13)
Score Statistics for Current Status Data: Comparisons with Likelihood Ratio and Wald Statistics (2005) (13)
Consistency of semiparametric maximum likelihood estimators for two‐phase sampling (2001) (13)
On the isoperimetric constant, covariance inequalities and $L_{p}$-Poincaré inequalities in dimension one (2017) (13)
Univariate log-concave density estimation with symmetry or modal constraints (2016) (13)
Efron's monotonicity property for measures on R2 (2018) (13)
Estimation of Mean Residual Life (2017) (12)
On an exponential bound for the Kaplan–Meier estimator (2007) (12)
Estimation of a k-monotone density, part 1: characterizations consistency, and minimax lower bounds (2005) (12)
Chernoff's density is log-concave. (2012) (11)
KAC Empirical Processes and the Bootstrap (1992) (11)
Computation of nonparametric convex hazard estimators via profile methods (2009) (11)
Squaring the Circle and Cubing the Sphere: Circular and Spherical Copulas (2010) (11)
How many Laplace transforms of probability measures are there? (2010) (11)
Bounding distributional errors via density ratios (2019) (10)
Computing the covariance of two Brownian area integrals (2002) (10)
A sharp multiplier inequality with applications to heavy-tailed regression problems (2017) (10)
Strong Log-concavity is Preserved by Convolution (2013) (10)
Entropy of Convex Functions on ℝ d. (2015) (10)
Entropy of Convex Functions on $$\mathbb {R}^d$$Rd (2017) (10)
Glivenko–Cantelli Theorems (1996) (10)
An excursion approach to maxima of the Brownian bridge. (2009) (10)
Estimation of a k-monotone density , part 2 : algorithms for computation and numerical results (2004) (9)
On the "Poisson boundaries" of the family of weighted Kolmogorov statistics (2004) (9)
The Two-Sample Problem (1996) (9)
Mode-constrained estimation of a log-concave density (2016) (9)
Some converse limit theorems for exchangeable bootstraps (2001) (9)
Robustness of shape-restricted regression estimators: an envelope perspective (2018) (9)
Finite sampling inequalities: an application to two-sample Kolmogorov-Smirnov statistics. (2015) (8)
Semiparametric models: a review of progress since BKRW (1993) (2006) (7)
A characterization of weak convergence of weighted multivariate empirical processes (1988) (7)
Complex sampling designs: Uniform limit theorems and applications (2019) (7)
A Strong Invariance Theorem for the Strong Law of Large Numbers (1978) (7)
Asymptotics: Particles, Processes and Inverse Problems. Festschrift for Piet Groeneboom (2007) (7)
MONTE CARLO OF TWO-DIMENSIONAL BROWNIAN SHEETS (1975) (7)
Conjecture of error boundedness in a new Hermite interpolation problem via splines of odd-degree (2005) (6)
Estimation of a k − monotone density , part 3 : limiting Gaussian versions of the problem ; invelopes and envelopes (2004) (6)
Z-estimation and stratified samples: application to survival models (2015) (6)
Stochastic Analysis of Shell Sort (2001) (6)
Nonparametric estimation of multivariate scale mixtures of uniform densities (2010) (6)
A law of the iterated logarithm for Grenander's estimator. (2015) (6)
Nemirovskis Inequalities Revisited (2010) (5)
Double censoring: characterization and computation of the nonparametric maximum likelihood estima (1995) (5)
High dimensional probability VI : the Banff volume (2013) (4)
Global rates of convergence of the MLE for multivariate interval censoring. (2012) (4)
Mixtures and Monotonicity: a Review of Estimation under Monotonicity Constraints (2005) (4)
Large Sample Theory for an Estimator of the Mean of a Counting Process with Panel Count Data (1998) (4)
Covariance formulas via marginal martingales (1994) (4)
Correction to: A Glivenko-Cantelli Theorem and Strong Laws of Large Numbers for Functions of Order Statistics (1978) (4)
Convergence: Weak, Almost Uniform, and in Probability (1996) (4)
[Empirical Processes and Applications: An Overview]: Discussion (1996) (4)
SEMIPARAMETRIC INFERENCE AND MODELS (2005) (3)
E cient Estimation in the Bivariate Normal CopulaModel : Normal Margins are Least-FavorableChris (1995) (3)
SUPPLEMENT TO \NONPARAMETRIC ESTIMATION OF MULTIVARIATE CONVEX-TRANSFORMED DENSITIES." (2010) (3)
The density ratio of Poisson binomial versus Poisson distributions (2020) (3)
Uniform convergence in some limit theorems for multiple particle systems (1997) (3)
High Dimensional Probability VI (2011) (3)
Convolution and Minimax Theorems (1996) (3)
A note on bounds for the VC dimensions of unions, intersections, and products of VC classes (2009) (3)
"Invelope" of Integrated Brownian Motion $+t^4$ (2001) (3)
The Deconvolution Problem (1992) (3)
Introduction to the Special Issue on Sparsity and Regularization Methods (2013) (2)
Supplementary Material for " Weighted Likelihood Estimation under Two-phase Sampling " (2012) (2)
Independence Empirical Processes (1996) (2)
Hardy’s inequality and its descendants: a probability approach (2021) (2)
The density ratio of generalized binomial versus Poisson distributions (2019) (1)
Bi-s*-concave distributions (2017) (1)
Consistency of Semiparametric Maximum Likelihood Estimators for Two-Phase , Outcome Dependent Sampling (2000) (1)
Preservation Theorems for G livenko-Cantelli and Uniform G livenko-Cantelli Classes (2000) (1)
The Cramér-Chernoff method ... and some exponential bounds (2018) (1)
Convolution and Asymptotic Minimax Theorems (1992) (1)
The mathematical work of Evarist Giné (2016) (1)
Multiplier Central Limit Theorems (1996) (1)
Efficient testing and estimation in two Lehmann alternatives to symmetry-at-zero models (2013) (1)
Other Donsker Classes (1996) (1)
A new approach to tests and confidence bands for distribution functions (2014) (1)
Uniform Entropy Numbers (1996) (1)
The Central Limit Theorem for Processes (1996) (1)
Nonparametric estimation of the lifetime and disease onset distributions for a survival-sacrifice model (2019) (1)
Information Bounds for Regression Models withMissing (2000) (1)
1. Introduction and Survey of Results (2009) (1)
Fechner’s Distribution and Connections to Skew Brownian Motion (2016) (1)
Efron's monotonicity property for measures on $\mathbb{R}^2$ (2017) (1)
Spaces of Bounded Functions (1996) (1)
13. Laws of the Iterated Logarithm Associated with Un and Vn (2009) (0)
Van der Vaart’s Differentiability Theorem (1992) (0)
Bi-s*-Concave Distributions. (2021) (0)
On Longest Increasing Subsequences and Random Young Tableaux: Experimental Results and Recent Theorems (2002) (0)
Submitted to the Annals of Statistics SUPPLEMENTARY MATERIAL FOR “ GLOBAL RATES OF CONVERGENCE OF THE MLES OF LOG-CONCAVE AND S − CONCAVE DENSITIES ” By (2015) (0)
Empirical Processes in Statistics: Methods, Examples, Further Problems (2002) (0)
Models, Scores, and Tangent Spaces (1992) (0)
Confidence intervals for current status data by 1 (2005) (0)
Likelihood Ratio Tests for Monotone Fun tionsBy (2001) (0)
Permanence of the Donsker Property (1996) (0)
Likelihood Ratio, Score, arid Wald Statistics in Models with Monotone Functions: Some Comparisons (2007) (0)
Survival Data : A Review of Recent Progress (2005) (0)
17. The Uniform Empirical Process Indexed by Intervals and Functions (2009) (0)
12. The Hungarian Constructions of Kn , Un and Vn (2009) (0)
24. Large Deviations (2009) (0)
9. Some Exact Distributions (2009) (0)
Submitted to the Annals of Statistics ESTIMATION OF A K − MONOTONE DENSITY , PART 4 : LIMIT DISTRIBUTION THEORY AND THE SPLINE CONNECTION By (2005) (0)
20. Rank Statistics (2009) (0)
Random Sample Size, Poissonization and Kac Processes (1996) (0)
APPROXIMATION AND ESTIMATION OF S-CONCAVE (2015) (0)
Convergence: Almost Surely and in Probability (1996) (0)
On the Hermite spline conjecture and its connection to k-monotone densities (2013) (0)
Submitted to the Annals of Statistics COMPLEX SAMPLING DESIGNS : UNIFORM LIMIT THEOREMS AND APPLICATIONS By Qiyang (2019) (0)
ST ] 2 5 Ja n 20 16 MULTIVARIATE CONVEX REGRESSION : GLOBAL RISK BOUNDS AND ADAPTATION By Qiyang Han (2016) (0)
Estimation of a Convex Function: Charactenzatl<)fiS and Asymptotic Theory (2000) (0)
Uniformity in the Underlying Distribution (1996) (0)
16. The Normalized Uniform Empirical Process ℤn and the Normalized Uniform Quantile Process (2009) (0)
6. Martingale Methods (2009) (0)
Oscillating Brownian Motion Author ( s ) : (1978) (0)
Chapter 4 Discussion of three statistics papers by Willem van Zwet (2012) (0)
Symmetrization and Measurability (1996) (0)
The mathematical work of Evarist Giné. (Catalan) (2017) (0)
11 S ep 2 00 6 Marshall ’ s Lemma for Convex Density Estimation (2007) (0)
18. The Standardized Quantile Process ℚn (2009) (0)
25. Independent But Not Identically Distributed Random Variables (2009) (0)
Submitted to the Annals of Statistics SUPPLEMENT TO “ APPROXIMATION AND ESTIMATION OF S-CONCAVE DENSITIES VIA RÉNYI DIVERGENCES ” By Qiyang (2015) (0)
4. Alternatives and Processes of Residuals (2009) (0)
Qualitative Assumptions and Regularization in High-Dimensional Statistics (2006) (0)
Stein 1956: Efficient nonparametric testing and estimation (2021) (0)
Spaces of Locally Bounded Functions (1996) (0)
Uniform Convergence in some Limit Theoremsfor Multiple Particle (1996) (0)
3. Convergence and Distributions of Empirical Processes (2009) (0)
26. Empirical Measures and Processes for General Spaces (2009) (0)
Hardy's Inequality and Its Descendants (2020) (0)
11. Exponential Inequalities and ‖ ⋅/q‖ - Metric Convergence of Un and Vn (2009) (0)
10. Linear and Nearly Linear Bounds on the Empirical Distribution Function Gn (2009) (0)
Outer Integrals and Measurable Majorants (1996) (0)
8. Poisson and Exponential Representations (2009) (0)
Discussion of Michael Kosorok ’ s Article : What ’ s so Special about Semiparametric Methods ? (2009) (0)
Asymptotic analysis of (3, 2, 1)‐shell sort (2002) (0)
5. Integral Tests of Fit and the Estimated Empirical Process (2009) (0)
Marshall's lemma for convex densities (2006) (0)
The Interval Censoring Problem (1992) (0)
Submitted to the Annals of Statistics CONVERGENCE RATES OF LEAST SQUARES REGRESSION ESTIMATORS WITH HEAVY-TAILED ERRORS By Qiyang (2018) (0)
STATISTICAL INFERENCE UNDER ORDER RESTRICTIONS LIMIT THEORY FOR THE GRENANDER ESTIMATOR UNDER ALTERNATIVE HYPOTHESES (2007) (0)
Maximal Inequalities and Covering Numbers (1996) (0)
A Local Maximal Inequality under (2010) (0)
14. Oscillations of the Empirical Process (2009) (0)
Eecient Estimation in the Bivariate Normal Copula Model: Normal Margins Are Least-favorable 1. Introduction: Copula Models. a Distribution Function C on the Unit Cube 0 1] M (1997) (0)
Integrated Brownian Motion , Conditioned to Be Positive Author ( s ) : (2010) (0)
Discussion of: Empirical Processes and Applications by Evarist Gine (1993) (0)
Large Sample Theory forSemiparametri Regression Modelswith Two-Phase , Out ome Dependent (2000) (0)
Working Paper Series IMPROVING POINT AND INTERVAL ESTIMATES OF MONOTONE FUNCTIONS BY REARRANGEMENT (2011) (0)
23. Further Applications (2009) (0)
15. The Uniform Empirical Difference Process Dn ≡ Un + Vn (2009) (0)
Hardy's inequality in terms of random variables (2020) (0)
2. Foundations, Special Spaces, and Special Processes (2009) (0)
In Memoriam: Evarist Giné (2016) (0)
Z-estimation and stratified samples: application to survival models (2015) (0)
Incognito Hypergeometrics: 10836 (2001) (0)
Uniformity and Metrization (1996) (0)
Problem 10836 (2000) (0)
Partial-Sum Processes (1996) (0)
7. Censored Data and the Product-Limit Estimator (2009) (0)
Very High Dimensional Semiparametric Models (2011) (0)
English summaries (1989) (0)
The Ball Sigma-Field and Measurability of Suprema (1996) (0)
Iterative Spline Algorithms for Estimating a k-monotone Density (0)

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