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

書誌事項

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

edited by X. Fernique ... [et al.]

(Lecture notes in mathematics, 1193)

Springer-Verlag, c1986

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  • : us

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注記

"Subseries: Institut de Mathématique, Université de Strasbourg."

内容説明・目次

目次

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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