Geometrical and Statistical Aspects of Probability in Banach Spaces
Actes des Journees SMF de Calcul des Probabilites dans les Espaces de Banach, organisees a Strasbourg les 19 et 20 Juin 1985
Published on 1. June 1986
Book
Paperback/Softback
CXXXVI, 130 pages
978-3-540-16487-6 (ISBN)
Description
A brief survey of Antoine Ehrhard's scientific work.- Invariance principles for the empirical measure of a mixing sequence and for the local time of markov processes.- Almost exchangeable sequences in Lq, 1 ? q <2.- An application of a martingale inequality of dubins and freedman to the law of large numbers in Banach spaces.- On the small balls condition in the central limit theorem in uniformly convex spaces.- Some remarks on the uniform convergence of Gaussian and Rademacher Fourier quadratic forms.- Rates of convergence in the central limit theorem for empirical processes.- Mean square convergence of weak martingales.- Metric entropy and the central limit theorem in Banach spaces.
More details
Series
Edition
1986 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
CXXXVI, 130 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 8 mm
Weight
219 gr
ISBN-13
978-3-540-16487-6 (9783540164876)
DOI
10.1007/BFb0077094
Schweitzer Classification
Content
A brief survey of Antoine Ehrhard's scientific work.- Invariance principles for the empirical measure of a mixing sequence and for the local time of markov processes.- Almost exchangeable sequences in Lq, 1 ? q <2.- An application of a martingale inequality of dubins and freedman to the law of large numbers in Banach spaces.- On the small balls condition in the central limit theorem in uniformly convex spaces.- Some remarks on the uniform convergence of Gaussian and Rademacher Fourier quadratic forms.- Rates of convergence in the central limit theorem for empirical processes.- Mean square convergence of weak martingales.- Metric entropy and the central limit theorem in Banach spaces.