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Selected Works of R.M. Dudley

Author: Evarist Giné; Vladimir Koltchinskii; Rimas Norvaisa
Publisher: New York, NY : Springer Science+Business Media, LLC, 2010.
Series: Selected Works in Probability and Statistics
Edition/Format:   Computer file : English : Online-ausgView all editions and formats
Summary:

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  Read more...

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Material Type: Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Evarist Giné; Vladimir Koltchinskii; Rimas Norvaisa
ISBN: 9781441958211 1441958215 9781441958204 1441958207
OCLC Number: 663863275
Reproduction Notes: Online-Ausg. Berlin [u.a.] Springer, 2010. online-Ressource.
Description: S.
Contents: Convergence in Law.- Weak Convergence of Probabilities on Nonseparable Metric Spaces and Empirical Measures on Euclidean Spaces.- Measures on Non-Separable Metric Spaces.- Distances of Probability Measures and Random Variables.- An Extended Wichura Theorem, Definitions of Donsker Class, and Weighted Empirical Distributions.- Markov Processes.- Lorentz-invariant Markov processes in relativistic phase space.- A note on Lorentz-invariant Markov processes.- Asymptotics of Some Relativistic Markov Processes.- Gaussian Processes.- The Sizes of Compact Subsets of Hilbert Space and Continuity of Gaussian Processes.- On seminorms and probabilities, and abstract Wiener spaces.- Sample Functions of the Gaussian Process.- On the Lower Tail of Gaussian Seminorms.- Empirical Processes.- Special Invited Paper.- Empirical and Poisson Processes on Classes of Sets or Functions Too Large for Central Limit Theorems.- Invariance Principles for Sums of Banach Space Valued Random Elements and Empirical Processes.- Universal Donsker Classes and Metric Entropy.- Nonlinear functionals and p-variation.- Frechet Differentiability, p-Variation and Uniform Donsker Classes.- The Order of the Remainder in Derivatives of Composition and Inverse Operators for p-Variation Norms.- Empirical Processes and p-variation.- Miscellanea.- Pathological Topologies and Random Walks on Abelian Groups.- Metric Entropy of Some Classes of Sets with Differentiable Boundaries.- Wiener Functionals as Ito Integrals.- A Metric Entropy Bound is Not Sufficient for Learnability.- Asymptotic Normality with Small Relative Errors of Posterior Probabilities of Half-Spaces.
Series Title: Selected Works in Probability and Statistics
Responsibility: edited by Evarist Giné, Vladimir Koltchinskii, Rimas Norvaisa.

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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 Read more...

 
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