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
Herausgegeben:Fernique, Xavier; Heinkel, Bernard; Meyer, Paul-Andre; Marcus, Michel

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Lecture Notes in Mathematics 1193
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-16487-6
• 1986
• Seitenzahl: 136
• Erscheinungstermin: 1. Juni 1986
• Englisch
• Abmessung: 235mm x 155mm x 8mm
• Gewicht: 238g
• ISBN-13: 9783540164876
• ISBN-10: 3540164871
• Artikelnr.: 23589043

Inhaltsangabe

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.