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. Ed(S): Gine, Evarist; Koltchinskii, Vladimir; Norvaisa, Rimas - Selected Works of R.M. Dudley - 9781441958204 - V9781441958204
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Selected Works of R.M. Dudley

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Description for Selected Works of R.M. Dudley Hardback. For almost fifty years, Richard M. Dudley has been extremely influential in the development of several areas of Probability. This book includes his major journal publications for the last fifty years as well as commentary by the editors. Editor(s): Gine, Evarist; Koltchinskii, Vladimir; Norvaisa, Rimas. Series: Selected Works in Probability and Statistics. Num Pages: 505 pages, biography. BIC Classification: PBT. Category: (P) Professional & Vocational. Dimension: 254 x 178 x 28. Weight in Grams: 2410.

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 measures) were proved by M. Talagrand to be necessary ... Read more

Together with V. N. Vapnik and A. Y. Cervonenkis, R. M. Dudley is a founder of the modern theory of empirical processes in general spaces. His work on uniform central limit theorems (under bracketing entropy conditions and for Vapnik-Cervonenkis classes), greatly extends classical results that go back to A. N. Kolmogorov and M. D. Donsker, and became the starting point of a new line of research, continued in the work of Dudley and others, that developed empirical processes into one of the major tools in mathematical statistics and statistical learning theory.

As a consequence of Dudley's early work on weak convergence of probability measures on non-separable metric spaces, the Skorohod topology on the space of regulated right-continuous functions can be replaced, in the study of weak convergence of the empirical distribution function, by the supremum norm. In a further recent step Dudley replaces this norm by the stronger p-variation norms, which then allows replacing compact differentiability of many statistical functionals by Fréchet differentiability in the delta method.

Richard M. Dudley has also made important contributions to mathematical statistics, the theory of weak convergence, relativistic Markov processes, differentiability of nonlinear operators and several other areas ofmathematics.

Professor Dudley has been the adviser to thirty PhD's and is a Professor of Mathematics at the Massachusetts Institute of Technology.

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Product Details

Format
Hardback
Publication date
2010
Publisher
Springer-Verlag New York Inc. United States
Number of pages
505
Condition
New
Series
Selected Works in Probability and Statistics
Number of Pages
481
Place of Publication
New York, NY, United States
ISBN
9781441958204
SKU
V9781441958204
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15

Reviews for Selected Works of R.M. Dudley
From the reviews: “This book is comprised of a number of Professor R. M. Dudley’s best works … . Each part begins with an introduction followed by a number of papers written by Dudley and his co-researchers. … The book also presents a biographical sketch of Dudley and provides his bibliography (1961–2009). … This is a comprehensive collection of ... Read more

Goodreads reviews for Selected Works of R.M. Dudley


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