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＜E-Book＞
Lectures on Probability Theory and Statistics : Ecole d'Ete de Probabilites de Saint-Flour XXVIII - 1998 / by M. Emery, A. Nemirovski, D. Voiculescu ; edited by Pierre Bernard
(École d'Été de Probabilités de Saint-Flour ; 1738)

Edition	1st ed. 2000.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2000
Language	English
Size	XIII, 349 p : online resource
Authors	*Emery, M author Nemirovski, A author Voiculescu, D author Bernard, Pierre editor SpringerLink (Online service)
Subjects	LCSH:Probabilities LCSH:Mathematical analysis LCSH:Geometry, Differential LCSH:Statistics  FREE:Probability Theory FREE:Analysis FREE:Differential Geometry FREE:Statistical Theory and Methods
Notes	Variétés, vecteurs, covecteurs, diffuseurs, codiffuseurs -- Semimartingales dans une variété et géométrie d’ordre 2 -- Connexions et martingales -- Fonctions convexes et comportement des martingales -- Mouvements browniens et applications harmoniques -- Preface -- Estimating regression functions from Hölder balls -- Estimating regression functions from Sobolev balls -- Spatial adaptive estimation on Sobolev balls -- Estimating signals satisfying differential inequalities -- Aggregation of estimates, I -- Aggregation of estimates, II -- Estimating functionals, I -- Estimating functionals, II -- Noncommutative probability and operator algebra background -- Addition of freely independent noncommutative random variables -- Multiplication of freely independent noncommutative random variables -- Generalized canonical form, noncrossing partitions -- Free independence with amalgamation -- Some basic free processes -- Random matrices in the large N limit -- Free entropy This volume contains lectures given at the Saint-Flour Summer School of Probability Theory during 17th Aug. - 3rd Sept. 1998. The contents of the three courses are the following: - Continuous martingales on differential manifolds. - Topics in non-parametric statistics. - Free probability theory. The reader is expected to have a graduate level in probability theory and statistics. This book is of interest to PhD students in probability and statistics or operators theory as well as for researchers in all these fields. The series of lecture notes from the Saint-Flour Probability Summer School can be considered as an encyclopedia of probability theory and related fields HTTP:URL=https://doi.org/10.1007/BFb0106703

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