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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)

1st ed. 2000.
出版者 Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年 2000
本文言語 英語
大きさ XIII, 349 p : online resource
冊子体 Lectures on probability theory and statistics : École d'eté de probabilités de Saint-Flour XXVIII-1998 / M. Emery, A. Nemirovski, D. Voiculescu ; editor Pierre Bernard
著者標目 *Emery, M author
Nemirovski, A author
Voiculescu, D author
Bernard, Pierre editor
SpringerLink (Online service)
件 名 LCSH:Probabilities
LCSH:Mathematical analysis
LCSH:Geometry, Differential
LCSH:Statistics
FREE:Probability Theory
FREE:Analysis
FREE:Differential Geometry
FREE:Statistical Theory and Methods
一般注記 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
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Springer eBooks 9783540450290
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データ種別 電子ブック
分 類 LCC:QA273.A1-274.9
DC23:519.2
書誌ID 4000109131
ISBN 9783540450290

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