Titlebook: Séminaire de Probabilités XLV; Catherine Donati-Martin,Antoine Lejay,Alain Rouaul Book 2013 Springer International Publishing Switzerland

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https://doi.org/10.1007/978-3-319-00321-460-XX, 60JXX, 60J60, 60J10, 60J65, 60J55, 46L54; Malliavin Calculus; combinatorial optimization; random

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Malliavin Calculus and Self Normalized SumsWe study the self-normalized sums of independent random variables from the perspective of the Malliavin calculus. We give the chaotic expansion for them and we prove a Berry–Esséen bound with respect to several distances.

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Book 2013Malliavin calculus. The Séminaire also occasionally publishes a series of contributions on a unifying subject; in this spirit, selected participants to the September 2011 Conference on Stochastic Filtrations, held in Strasbourg and organized by Michel Émery, have also contributed to the present volu

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Carbon-Monoxide

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Characterising Ocone Local Martingales with Reflections in { − ., .}, then . is close to a local martingale in the following sense: | .[..] | ≤ . + . for every stopping time . in the canonical filtration of . such that the stopped process .. is uniformly bounded.

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Fluctuations of the Traces of Complex-Valued Random Matricesimit theorem for real random matrices using a probabilistic approach. The main contribution of this paper is to use the same probabilistic approach to generalize the central limit theorem to complex random matrices.