Selected Works of R.M. Dudley

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 c...

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Bibliografiske detaljer
Hovedforfatter: Giné, Evarist, 1944-2015
Andre forfattere: Koltchinskii, Vladimir (Éditeur intellectuel), Norvaiša, Rimas, 1956-...., mathématicien (Éditeur intellectuel)
Format: Livre numérique
Sprog:Anglais
Udgivet: New York, NY : Springer New York : Imprint: Springer [20..].
Cham : Springer Nature
Serier:Selected Works in Probability and Statistics
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Kommentar: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Selected works of R. M. Dudley, Evarist Giné, Vladimir Koltchinskii, Rimas Norvaiša editors, 2010, New York [etc.], Springer, 1 vol. (XXIV-481 p.), Selected Works in Probability and Statistics, 978-1-4419-5820-4
Indholdsfortegnelse:
  • 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