WorldCat Identities

Dudley, R. M. (Richard M.)

Overview
Works: 49 works in 256 publications in 5 languages and 5,232 library holdings
Genres: Conference papers and proceedings  Genealogy  History 
Roles: Author, Editor, Other
Classifications: QA3, 515
Publication Timeline
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Most widely held works about R. M Dudley
 
Most widely held works by R. M Dudley
Real analysis and probability by R. M Dudley( Book )

24 editions published between 1989 and 2011 in English and held by 654 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( Book )

45 editions published between 1999 and 2014 in English and Undetermined and held by 489 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 Bretagnolle-Massart theorem giving constants in the Komlos-Major-Tusnady rate of convergence for the classical empirical process, Massart's form of the Dvoretzky-Kiefer-Wolfowitz inequality with precise constant, Talagrand's generic chaining approach to boundedness of Gaussian processes, a characterization of uniform Glivenko-Cantelli classes of functions, Gine; and Zinn's characterization of uniform Donsker classes (i.e., classing Donsker uniformly over all probability measures P), and the Bousquet-Koltchinskii-Panchenko theorem that the convex hull of a uniform Donsker class is uniform Donsker. The book will be an essential reference for mathematicians working in infinite-dimensional 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 p-variation by R. M Dudley( Book )

23 editions published in 1999 in English and German and held by 354 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 p-variation 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 p-variation 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
Ecole d'éte de probabilités de Saint-Flour XII--1982 by R. M Dudley( Book )

21 editions published between 1984 and 2008 in 3 languages and held by 274 WorldCat member libraries worldwide

Probability in Banach spaces, 8 : proceedings of the eighth international conference by R. M Dudley( Book )

19 editions published in 1992 in 4 languages and held by 154 WorldCat member libraries worldwide

Probabilities and metrics : convergence of laws on metric spaces, with a view to statistical testing by R. M Dudley( Book )

14 editions published in 1976 in 3 languages and held by 123 WorldCat member libraries worldwide

Lectures in modern analysis and applications by C. T Taam( Book )

22 editions published between 1969 and 2008 in English and Undetermined and held by 112 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 Littlewood-Paley Theory, the Theory of Automorphic Forms, Quantization and Unitary Representations, Random Linear Functionals, and the Absolute Continuity of Stochastic Processes. (Author)
Concrete functional calculus by R. M Dudley( Book )

17 editions published between 2010 and 2012 in English and held by 97 WorldCat member libraries worldwide

Concrete Functional Calculus focuses primarily on differentiability of some nonlinear operators on functions or pairs of functions. This includes composition of two functions, and the product integral, taking a matrix- or operator-valued coefficient function into a solution of a system of linear differential equations with the given coefficients. In this book existence and uniqueness of solutions are proved under suitable assumptions for nonlinear integral equations with respect to possibly discontinuous functions having unbounded variation. Key features and topics: Extensive usage of p-variat
Probability in Banach spaces V : proceedings of the international conference held in Medford, USA, July 16-27, 1984 by Anatole Beck( )

6 editions published in 1985 in English and Undetermined and held by 72 WorldCat member libraries worldwide

Selected works of R.M. Dudley by R. M Dudley( Book )

9 editions published in 2010 in English and Undetermined and held by 36 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
École d'Été de Probabilités de Saint-Flour XII - 1982 by R. M Dudley( )

1 edition published in 1984 in French and held by 29 WorldCat member libraries worldwide

Lectures in Modern Analysis and Applications III by R. M Dudley( )

1 edition published in 1970 in English and held by 28 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( Book )

2 editions published in 1992 in English and held by 8 WorldCat member libraries worldwide

An introduction to p-variation and Young integrals by R. M Dudley( Book )

5 editions published in 1998 in English and held by 5 WorldCat member libraries worldwide

On the lower tail of Gaussian seminorms by J Hoffmann-Jørgensen( Book )

3 editions published in 1977 in English and held by 4 WorldCat member libraries worldwide

A metric entropy bound is not sufficient for learnability( Book )

3 editions published in 1992 in English and held by 4 WorldCat member libraries worldwide

Notes on empirical processes by R. M Dudley( Book )

4 editions published between 1998 and 1999 in English and held by 4 WorldCat member libraries worldwide

Te Kapua Kiri Upoko iti Whitipatato Reunion 2012( Book )

1 edition published in 2012 in English and held by 4 WorldCat member libraries worldwide

Ecole d'été de probabilités de Saint-Flour VI-1976 by J Hoffmann-Jørgensen( Book )

3 editions published in 1984 in 3 languages and held by 3 WorldCat member libraries worldwide

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Uniform central limit theorems
Alternative Names
Dudley, R.M.

Dudley, R.M. 1938-

Dudley, Richard 1938-

Dudley, Richard M.

Dudley, Richard M. 1938-

Dudley, Richard Mansfield 1938-

Richard Dudley

Richard M. Dudley Amerikaans wiskundige

Languages
English (204)

French (9)

German (3)

Danish (1)

Spanish (1)

Covers
Uniform central limit theoremsDifferentiability of six operators on nonsmooth functions and p-variationEcole d'éte de probabilités de Saint-Flour XII--1982Probability in Banach spaces, 8 : proceedings of the eighth international conferenceLectures in modern analysis and applicationsConcrete functional calculusProbability in Banach spaces V : proceedings of the international conference held in Medford, USA, July 16-27, 1984Selected works of R.M. Dudley