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Geometrical and Statistical Aspects of Probability in Banach Spaces: Actes des Journees SMF de Calcul des Probabilites dans les Espaces de Banach, ... 1985 (Lecture Notes in Mathematics, 1193) - Softcover

 
9783540164876: Geometrical and Statistical Aspects of Probability in Banach Spaces: Actes des Journees SMF de Calcul des Probabilites dans les Espaces de Banach, ... 1985 (Lecture Notes in Mathematics, 1193)

Synopsis

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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