Geometrical and Statistical Aspects of Probability in Banach Spaces

Geometrical and Statistical Aspects of Probability in Banach Spaces Actes des Journées SMF de Calcul des Probabilités dans les Espaces de Banach, organisées à Strasbourg les 19 et 20 juin 1985 / [electronic resource] : edited by Xavier Fernique, Bernard Heinkel, Paul-André Meyer, Michael B. Marcus. - CXXXVI, 130 p. online resource. - Lecture Notes in Mathematics, 1193 0075-8434 ; . - Lecture Notes in Mathematics, 1193 .

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.

9783540398264

10.1007/BFb0077094 doi


Distribution (Probability theory.
Probability Theory and Stochastic Processes.

QA273.A1-274.9 QA274-274.9

519.2
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