Selected Works of R.M. Dudley
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...
| Other Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
2010, 2010
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| Edition: | 1st ed. 2010 |
| Series: | Selected Works in Probability and Statistics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of 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
- Fréchet 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 Itô Integrals
- A Metric Entropy Bound is Not Sufficient for Learnability
- Asymptotic Normality with Small Relative Errors of Posterior Probabilities of Half-Spaces