Selected Works of R.M. Dudley

Table of Contents

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   Book Overview
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   Chapter 1 Introduction
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   Chapter 2 Weak Convergence of Probabilities on Nonseparable Metric Spaces and Empirical Measures on Euclidean Spaces
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   Chapter 3 Measures on Non-Separable Metric Spaces
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   Chapter 4 Distances of Probability Measures and Random Variables
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   Chapter 5 An Extended Wichura Theorem, Definitions of Donsker Class, and Weighted Empirical Distributions
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   Chapter 6 Introduction
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   Chapter 7 Lorentz-invariant Markov processes in relativistic phase space
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   Chapter 8 A note on Lorentz-invariant Markov processes
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    Chapter 9 Asymptotics of Some Relativistic Markov Processes
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    Chapter 10 Introduction
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    Chapter 11 The Sizes of Compact Subsets of Hilbert Space and Continuity of Gaussian Processes
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    Chapter 12 On seminorms and probabilities, and abstract Wiener spaces
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    Chapter 13 Sample Functions of the Gaussian Process
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    Chapter 14 On the Lower Tail of Gaussian Seminorms
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    Chapter 15 Introduction
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    Chapter 16 Special Invited Paper
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    Chapter 17 Empirical and Poisson Processes on Classes of Sets or Functions Too Large for Central Limit Theorems
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    Chapter 18 Invariance Principles for Sums of Banach Space Valued Random Elements and Empirical Processes
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    Chapter 19 Universal Donsker Classes and Metric Entropy
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    Chapter 20 Introduction
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    Chapter 21 Fréchet Differentiability, p -Variation and Uniform Donsker Classes
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    Chapter 22 The Order of the Remainder in Derivatives of Composition and Inverse Operators for p -Variation Norms
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    Chapter 23 Empirical Processes and p-variation
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    Chapter 24 Introduction
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    Chapter 25 Pathological Topologies and Random Walks on Abelian Groups
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    Chapter 26 Metric Entropy of Some Classes of Sets with Differentiable Boundaries
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    Chapter 27 Wiener Functionals as Itô Integrals
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    Chapter 28 A Metric Entropy Bound is Not Sufficient for Learnability
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    Chapter 29 Asymptotic Normality with Small Relative Errors of Posterior Probabilities of Half-Spaces