Richard M. Dudley

Richard M. Dudley's AcademicInfluence.com Rankings

Richard M. Dudley

Mathematics

#1627

World Rank

#2628

Historical Rank

#662

USA Rank

Measure Theory

#628

World Rank

#861

Historical Rank

#255

USA Rank

mathematics Degrees

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Mathematics

Richard M. Dudley's Degrees

PhD Mathematics Princeton University

Why Is Richard M. Dudley Influential?

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According to Wikipedia, Richard Mansfield Dudley was Professor of Mathematics at the Massachusetts Institute of Technology. Education and career Dudley was born in Cleveland, Ohio. He earned his BA at Harvard College and received his PhD at Princeton University in 1962 under the supervision of Edward Nelson and Gilbert Hunt. He was a Putnam Fellow in 1958. He was an instructor and assistant professor at University of California, Berkeley between 1962 and 1967, before moving to MIT as a professor in mathematics, where he stayed from 1967 until 2015, when he retired.

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Richard M. Dudley'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

Real Analysis and Probability (1989) (3359)
The Sizes of Compact Subsets of Hilbert Space and Continuity of Gaussian Processes (1967) (634)
Central Limit Theorems for Empirical Measures (1978) (589)
A course on empirical processes (1984) (410)
Distances of Probability Measures and Random Variables (1968) (336)
Sample Functions of the Gaussian Process (1973) (330)
S: An Interactive Environment for Data Analysis and Graphics (1984) (301)
Metric Entropy of Some Classes of Sets with Differentiable Boundaries (1974) (242)
Uniform Central Limit Theorems (1999) (239)
The Speed of Mean Glivenko-Cantelli Convergence (1969) (236)
Universal Donsker Classes and Metric Entropy (1987) (183)
Some special vapnik-chervonenkis classes (1981) (150)
Weak Convergence of Probabilities on Nonseparable Metric Spaces and Empirical Measures on Euclidean Spaces (1966) (125)
Convergence of Baire measures (1966) (124)
Lectures in Modern Analysis and Applications I (1969) (123)
ON SEQUENTIAL CONVERGENCE (1964) (117)
Concrete Functional Calculus (2010) (112)
Lorentz-invariant Markov processes in relativistic phase space (1966) (110)
On the Lower Tail of Gaussian Seminorms (1979) (104)
Uniform and universal Glivenko-Cantelli classes (1991) (101)
Differentiability of Six Operators on Nonsmooth Functions and p-Variation (1999) (87)
Probabilities and metrics : convergence of laws on metric spaces, with a view to statistical testing (1976) (86)
An extended Wichura theorem, definitions of Donsker class, and weighted empirical distributions (1985) (81)
Balls in Rk do not cut all subsets of k + 2 points (1979) (66)
Frechet Differentiability, $p$-Variation and Uniform Donsker Classes (1992) (66)
On seminorms and probabilities, and abstract Wiener spaces (1971) (60)
The central limit theorem and ε-entropy (1969) (57)
Real Analysis and Probability: Notation Index (2002) (56)
Zero-one laws for stable measures (1974) (55)
Wiener Functionals as Itô Integrals (1977) (54)
Nonlinear Functionals of Empirical Measures and the Bootstrap (1990) (40)
Review: K. R. Parthasarathy, Probability Measures on Metric Spaces (1969) (37)
Log Log Laws for Empirical Measures (1980) (36)
Random linear functionals (1969) (32)
Statistical Tests for Preferred Orientation (1975) (30)
The order of the remainder in derivatives of composition and inverse operators for p-variation norms (1994) (28)
Measures on Non-Separable Metric Spaces (1967) (28)
GAUSSIAN PROCESSES ON SEVERAL PARAMETERS (1965) (28)
INFORMATION CRITERIA FOR MULTIPLE DATA SETS AND RESTRICTED PARAMETERS (1997) (24)
Special Invited Paper (2010) (23)
Some new tests for multivariate normality (1991) (22)
Consistency of M-Estimators and One-Sided Bracketing (1998) (22)
Metric entropy and the central limit theorem in $C(S)$ (1974) (21)
RANDOM WALKS ON ABELIAN GROUPS (1962) (21)
Asymptotic normality with small relative errors of posterior probabilities of half-spaces (2002) (20)
Asymptotics of some relativistic markov processes. (1973) (20)
Empirical and Poisson processes on classes of sets or functions too large for central limit theorems (1982) (19)
A note on lorentz-invariant markov processes (1967) (17)
A metric entropy bound is not sufficient for learnability (1994) (16)
Corrections to "Central Limit Theorems for Empirical Measures" (1979) (16)
Correction to "Convergence of Baire measures" (Studia Mathematica 27 (1966), pp. 251-268) (1974) (16)
Product integrals, young integrals and p-variation (1999) (16)
A counterexample on measurable processes (1972) (15)
Metric entropy conditions for an operator to be of trace class (1993) (14)
Empirical Processes and p-variation (1997) (14)
Recession of some relativistic Markov processes (1974) (13)
Stopping times with given laws (1977) (13)
Some Limit Theorems for Empirical Processes: Discussion of the Paper of Professors Gine and Zinn (1984) (12)
Convergence of sequences of distributions (1971) (11)
Uniform Central Limit Theorems: Preface (1999) (10)
Fourier analysis of sub-stationary processes with a finite moment (1965) (10)
Lower layers in R2 and convex sets in R3 are not GB classes (1979) (9)
Uniform Central Limit Theorems: Contents (1999) (9)
Correction to “metric entropy of some classes of sets with differentiable boundaries” (1979) (9)
AN EXPOSITION OF BRETAGNOLLE AND MASSART'S PROOF OF THE KMT THEOREM FOR THE UNIFORM EMPIRICAL PROCESS (2005) (8)
Differentiability of t-functionals of location and scatter (2009) (7)
Two-sample Dvoretzky–Kiefer–Wolfowitz inequalities (2012) (6)
V.N. Sudakov’s Work on Expected Suprema of Gaussian Processes (2016) (6)
Two examples concerning uniform convergence of measures w.r.t. balls in Banach spaces (1976) (6)
Two examples concerning uniform convergence of measures w.r.t. balls in Banach spaces (1976) (6)
Speed of convergence of classical empirical processes in p-variation norm (2001) (6)
Two examples concerning uniform convergence of measures w.r.t. balls in Banach spaces (1976) (6)
[Asymptotics via Empirical Processes]: Comment (1989) (5)
Real Analysis and Probability: Axiomatic Set Theory (2002) (5)
Sub-stationary processes (1967) (5)
Correction Note: Correction to "A Counterexample on Measurable Processes" (1973) (4)
Some facts about functionals of location and scatter (2006) (4)
EXPONENTIAL BOUNDS IN VAPNIK-CERVONENKIS CLASSES OF INDEX 1 (1992) (4)
Dvoretzky--Kiefer--Wolfowitz Inequalities for the Two-sample Case (2011) (4)
Correction to: “Zero-one laws for stable measures” [Proc. Amer. Math. Soc. 45 (1974), 245–252; MR 51 #6901] (1983) (4)
Pathological topologies and random walks on abelian groups (1964) (3)
Corrections to "On seminorms and probabilities, and abstract Wiener spaces" (1976) (3)
Probability in Banach spaces, 8 : proceedings of the eighth international conference (1992) (3)
High Dimensional Probability VI (2011) (3)
Corrections to: “On sequential convergence” (1970) (3)
Real Analysis and Probability: Measures (2002) (3)
Nonlinear Differential and Integral Equations (2011) (3)
Metric marginal problems for set-valued or non-measurable variables (1994) (3)
Some classes of rational functions and related Banach spaces (2007) (3)
Review: P. Billingsley, Convergence of probability measures (1971) (3)
Problems for Solution: 5092-5100 (1963) (2)
Some recent results on empirical processes (1981) (2)
A survey on differentiability of six operators in relation to probability and statistics (1999) (2)
DIFFERENTIABILITY OF M-FUNCTIONALS OF LOCATION AND SCATTER BASED ON T LIKELIHOODS (2008) (2)
Review: I. A. Ibragimov and Yu. A. Rozanov, Gaussian random processes (1980) (2)
Some Remarks Concerning Priorities, in Connection with our Paper "On Seminorms and Probabilities" (1972) (2)
Unsolvable problems in mathematics. (1976) (1)
Slepian's inequality and commuting semigroups (1987) (1)
Sketched History: VC Combinatorics, 1826 up to 1975 (2015) (1)
One-Sided Hypotheses in a Multinomial Model (2002) (1)
Book review by Talagr and Michel , Springer-Verlag, 2005: Upper and Lower Bounds of Stochastic Processes pp. 222, £ 61.50 /$ 99.00/79.97 Euros. (2007) (1)
IQ and Heredity (1991) (1)
Real Analysis and Probability: Conditional Expectations and Martingales (2002) (1)
A NOTE ON PRODUCTS OF SPECTRAL MEASURES (1973) (1)
Correction to "Zero-One Laws for Stable Measures" (1983) (1)
On the quantile transform for asymmetric binomial and hypergeometric distributions (2008) (1)
Real Analysis and Probability: Convex Sets and Duality of Normed Spaces (2002) (0)
Real Analysis and Probability: Stochastic Processes (2002) (0)
Uniform Central Limit Theorems: Limit Theorems for Vapnik-Červonenkis and Related Classes (1999) (0)
Nemytskii Operators on L p Spaces (2011) (0)
Limit Theorems for VC-Type Classes (2013) (0)
Uniform Central Limit Theorems: The Two-Sample Case, the Bootstrap, and Confidence Sets (1999) (0)
Real Analysis and Probability: Measurability: Borel Isomorphism and Analytic Sets (2002) (0)
Lorentz-invariant random distributions (1962) (0)
Uniform Central Limit Theorems: Uniform and Universal Limit Theorems (2014) (0)
A Paper that Created Three New Fields: Teoriya Veroyatnosteĭ i Ee Primeneniya 16(2), 1971, pp. 264–279 (2015) (0)
Uniform Central Limit Theorems: Measurability (1999) (0)
Real Analysis and Probability: Convergence of Laws and Central Limit Theorems (2002) (0)
Definitions and Basic Properties of Extended Riemann–Stieltjes Integrals (2011) (0)
Real Analysis and Probability: Foundations; Set Theory (2002) (0)
Uniform Central Limit Theorems: Approximation of Functions and Sets (1999) (0)
Uniform Central Limit Theorems: Preface to the Second Edition (2014) (0)
The Soviet "Empire" (1986) (0)
Statistical Nearly Universal Glivenko—Cantelli Classes (2003) (0)
Uniform Central Limit Theorems: Introduction: Donsker's Theorem, Metric Entropy, and Inequalities (1999) (0)
Versions of Isonormal Processes (2013) (0)
Real Analysis and Probability: Rearranging Sums of Nonnegative Terms (2002) (0)
Why are adoptees so similar in IQ? (1991) (0)
Uniform Central Limit Theorems: Sums in General Banach Spaces and Invariance Principles (1999) (0)
Fourier Transforms of Stationary Processes are not Functions (1969) (0)
Selected Works of R.M. Dudley (2010) (0)
THE DVORETZKY – KIEFER – WOLFOWITZ INEQUALITY WITH SHARP CONSTANT : MASSART ’ S 1990 PROOF SEMINAR , SEPT . 28 , 2011 (2011) (0)
Real Analysis and Probability: Integration (2002) (0)
18.440 Probability and Random Variables, Fall 2005 (2005) (0)
NONLINEAR FUNCTIONALS OF EMPIRICAL MEASURES (1992) (0)
Differentiability of the composition and quantile operators for regulated and A. E. continuous functions (1999) (0)
Uniform Central Limit Theorems: Foundations of Uniform Central Limit Theorems: Donsker Classes (1999) (0)
Derivatives and Analyticity in Normed Spaces (2011) (0)
Uniform Central Limit Theorems: Metric Entropy with Bracketing (2014) (0)
Real Analysis and Probability: General Topology (2002) (0)
Uniform Central Limit Theorems: Bochner and Pettis Integrals (1999) (0)
Uniform Central Limit Theorems: Modifications and Versions of Isonormal Processes (1999) (0)
Introduction to Probability Theory (2002) (0)
A property of a class of distributions associated with the Minkowski metric (1964) (0)
Unsolvable Problems in Mathematics (1976) (0)
Uniform Central Limit Theorems: Separation of Analytic Sets; Borel Injections (1999) (0)
Uniform Central Limit Theorems: Classes Too Large to Be Donsker (2014) (0)
Stochastic Processes and Ф-Variation (2011) (0)
Convergence of Laws on Separable Metric Spaces (2002) (0)
Bibliographies on p-variation and ϕ-variation (1999) (0)
Uniform Central Limit Theorems: Classes of Sets or Functions Too Large for Central Limit Theorems (1999) (0)
Some Special Results of Measure Theory (2008) (0)
Uniform Central Limit Theorems: Gaussian Measures and Processes; Sample Continuity (1999) (0)
Definition of Donsker Classes (2013) (0)
Uniform Central Limit Theorems: An Extension of Lusin's Theorem (1999) (0)
Uniform Central Limit Theorems: Measures on Nonseparable Metric Spaces (2014) (0)
Uniform Central Limit Theorems: Universal and Uniform Central Limit Theorems (1999) (0)
Two-Function Composition (2011) (0)
Ф-variation and p-variation; Inequalities for Integrals (2011) (0)
A. N. Kolmogorov and Statistics: A Citation Bibliography (1990) (0)
Uniform Central Limit Theorems: Young-Orlicz Spaces (1999) (0)
Uniform Central Limit Theorems: Metric Entropy, with Inclusion and Bracketing (1999) (0)
Uniform Central Limit Theorems: Donsker's Theorem and Inequalities (2014) (0)
Real Analysis and Probability: The Problem of Measure (2002) (0)
On prediction theory for nonstationary sequences (1967) (0)
Nemytskii Operators on Some Function Spaces (2011) (0)
Real Analysis and Probability: Complex Numbers, Vector Spaces, and Taylor's Theorem with Remainder (2002) (0)
Reminiscences, and some explorations about the bootstrap (2016) (0)
American Mathematical Society Edited by with the Cooperation of Index to Volume 15 [december Cohomology of Groups in Arbitrary Categories (0)
Gaussian Processes; Sample Continuity (2013) (0)
Uniform Central Limit Theorems: Nonexistence of Types of Linear Forms on Some Spaces (1999) (0)
Uniform Central Limit Theorems: Differentiating under an Integral Sign (1999) (0)
Uniform Central Limit Theorems: Multinomial Distributions (1999) (0)
Interaction and dependence prevent estimation (1990) (0)
The Generic Chaining: Upper and Lower Bounds of Stochastic Processes, by Michel Talagrand , Springer-Verlag, 2005 (2007) (0)
Classes of Functions Related to VC Properties (2015) (0)
Uniform Central Limit Theorems: Vapnik–Červonenkis Combinatorics (1999) (0)
Lorentz-invariant M a r k o v processes in relativistic phase space By (2007) (0)
Real Analysis and Probability: Measure, Topology, and Differentiation (2002) (0)
Submitted to the Annals of Statistics DFFERENTIABILITY OF T-FUNCTIONALS OF LOCATION AND SCATTER By (2008) (0)

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