Dudley, R. M. (Richard M.)Overview
Most widely held works by
R. M Dudley
Real analysis and probability
by R. M Dudley
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46 editions published between 1989 and 2008 in 3 languages and held by 1,867 WorldCat member libraries worldwide This classic graduate textbook offers a clear exposition of modern probability theory and of the interplay between the properties of metric spaces and probability measures. The comprehensive historical notes have been further amplified for this new edition, and a number of new exercises have been added, together with hints for solution
Uniform central limit theorems
by R. M Dudley
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30 editions published between 1999 and 2014 in English and held by 444 WorldCat member libraries worldwide "This classic work on empirical processes has been considerably expanded and revised from the original edition. When samples become large, the probability laws of large numbers and central limit theorems are guaranteed to hold uniformly over wide domains. The author, an acknowledged expert, gives a thorough treatment of the subject. This new edition contains several proved theorems not included in the first edition, including the BretagnolleMassart theorem giving constants in the KomlosMajorTusnady rate of convergence for the classical empirical process, Massart's form of the DvoretzkyKieferWolfowitz inequality with precise constant, Talagrand's generic chaining approach to boundedness of Gaussian processes, a characterization of uniform GlivenkoCantelli classes of functions, Gine; and Zinn's characterization of uniform Donsker classes (i.e., classing Donsker uniformly over all probability measures P), and the BousquetKoltchinskiiPanchenko theorem that the convex hull of a uniform Donsker class is uniform Donsker. The book will be an essential reference for mathematicians working in infinitedimensional central limit theorems, mathematical statisticians, and computer scientists working in computer learning theory. Problems are included at the end of each chapter so the book can also be used as an advanced text"
Differentiability of six operators on nonsmooth functions and pvariation
by R. M Dudley
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22 editions published in 1999 in English and German and held by 443 WorldCat member libraries worldwide The book is about differentiability of six operators on functions or pairs of functions: composition (f of g), integration (of f dg), multiplication and convolution of two functions, both varying, and the product integral and inverse operators for one function. The operators are differentiable with respect to pvariation norms with optimal remainder bounds. Thus the functions as arguments of the operators can be nonsmooth, possibly discontinuous, but four of the six operators turn out to be analytic (holomorphic) for some pvariation norms. The reader will need to know basic real analysis, including Riemann and Lebesgue integration. The book is intended for analysts, statisticians and probabilists. Analysts and statisticians have each studied the differentiability of some of the operators from different viewpoints, and this volume seeks to unify and expand their results
Concrete functional calculus
by R. M Dudley
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12 editions published between 2010 and 2012 in English and held by 428 WorldCat member libraries worldwide
Ecole d'éte de probabilités de SaintFlour XII1982
by R. M Dudley
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24 editions published between 1984 and 2008 in 4 languages and held by 364 WorldCat member libraries worldwide
Selected works of R.M. Dudley
by R. M Dudley
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8 editions published in 2010 in English and Undetermined and held by 349 WorldCat member libraries worldwide For almost fifty years, Richard M. Dudley has been extremely influential in the development of several areas of Probability. His work on Gaussian processes led to the understanding of the basic fact that their sample boundedness and continuity should be characterized in terms of proper measures of complexity of their parameter spaces equipped with the intrinsic covariance metric. His sufficient condition for sample continuity in terms of metric entropy is widely used and was proved by X. Fernique to be necessary for stationary Gaussian processes, whereas its more subtle versions (majorizing me
Guide to test, training, and exercise programs for IT plans and capabilities recommendations of the National Institute of Standards and Technology
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1 edition published in 2006 in English and held by 182 WorldCat member libraries worldwide
Probability in Banach spaces, 8 : proceedings of the eighth international conference
by R. M Dudley
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13 editions published in 1992 in 3 languages and held by 170 WorldCat member libraries worldwide
Probabilities and metrics : convergence of laws on metric spaces, with a view to statistical testing
by R. M Dudley
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11 editions published in 1976 in 3 languages and held by 115 WorldCat member libraries worldwide
Lectures in modern analysis and applications
by R. M Dudley
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16 editions published between 1970 and 2008 in English and held by 96 WorldCat member libraries worldwide A Lecture Series in Modern Analysis and Applications was sponsored by the Consortium of American, Catholic, Georgetown, George Washington and Howard Universities, of the District of Columbia, the University of Maryland, College Park, and the Air Force Office of Scientific Research, in the greater Washington, D.C. area, during the period Fall, 1967 through Spring 1969. The series consisted of 8 sessions of 3 lectures each. Each session was devoted to an active basic area of contemporary analysis which is important in application or shows potential applications. Each lecture presented a survey and a critical review of certain aspects of that area, with emphasis on new results, open problems and applications. This volume, the third and final one of the series, contains five lectures from the seventh and eighth sessions, which were devoted to modern harmonic analysis and applications, and integration in function spaces and applications. The lectures concern the LittlewoodPaley Theory, the Theory of Automorphic Forms, Quantization and Unitary Representations, Random Linear Functionals, and the Absolute Continuity of Stochastic Processes. (Author)
Lectures in modern analysis and applications
by C. T Taam
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2 editions published in 1970 in English and held by 28 WorldCat member libraries worldwide
Probability in Banach spaces V : proceedings of the international conference held in Medford, USA, July 1627, 1984
by Anatole Beck
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1 edition published in 1985 in English and held by 10 WorldCat member libraries worldwide
Proceedings of the 8. International Conference : [on Probability in Banach Spaces, Bowdoin College, 1991, Brunswick, Me.]
by 1991, Brunswick, Me.> International Conference on Probability in Banach Spaces. <8
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2 editions published in 1992 in English and held by 7 WorldCat member libraries worldwide
Ecole d'été de probabilités de SaintFlour XII  1982 : SaintFlour, 22 août8 septembre 1982
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1 edition published in 1984 in English and held by 5 WorldCat member libraries worldwide
An introduction to pvariation and Young integrals
by R. M Dudley
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4 editions published in 1998 in English and held by 4 WorldCat member libraries worldwide
A metric entropy bound is not sufficient for learnability
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2 editions published in 1992 in English and held by 3 WorldCat member libraries worldwide
On the lower tail of Gaussian seminorms
by J HoffmannJørgensen
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2 editions published in 1977 in English and held by 3 WorldCat member libraries worldwide
Notes on empirical processes
by R. M Dudley
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3 editions published between 1998 and 1999 in English and held by 3 WorldCat member libraries worldwide
Ecole d'eté de probabilités de SaintFlour XI1, 1982
by Ecole d'été de probabilités de SaintFlour
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2 editions published in 1984 in English and held by 2 WorldCat member libraries worldwide
A note on Lorentzinvariant Markov processes
by R. M Dudley
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1 edition published in 1967 in English and held by 2 WorldCat member libraries worldwide more
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Associated Subjects
Banach spaces BaptistsEducation BaptistsPublishing Calculus Central limit theorem Convergence Differential operators Distribution (Probability theory) EducationReligion Functional analysis Functions of bounded variation Functions of real variables Gaussian processes Global analysis (Mathematics) Information technology Integral equations Integrals Kentucky KentuckyRussellville Machine learning Markov processes Mathematical analysis Mathematical statistics Mathematics Metric spaces Nonlinear functional analysis Operator theory Probabilities Stochastic processes Topology

Alternative Names
Dudley, R.M.
Dudley, R. M. 1938
Dudley, Richard M.
Dudley, Richard Mansfield 1938
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