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Lectures on probability theory and statistics : Ecole d'été de probabilités de Saint-Flour XXVIII, 1998

Author: Michel Emery; Arkadiĭ Semenovich Nemirovskiĭ; D V Voiculescu; P Bernard
Publisher: Berlin ; New York : Springer, ©2000.
Series: Lecture notes in mathematics (Springer-Verlag), 1738.
Edition/Format:   Book : Conference publication : EnglishView all editions and formats
Database:WorldCat
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MSC 2000: 46L10, 46L53

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Genre/Form: Conference proceedings
Congresses
Congrès
Material Type: Conference publication
Document Type: Book
All Authors / Contributors: Michel Emery; Arkadiĭ Semenovich Nemirovskiĭ; D V Voiculescu; P Bernard
ISBN: 3540677364 9783540677369
OCLC Number: 44638036
Notes: "Lectures given at the Saint-Flour Summer School of Probability Theory during the period 17th August - 3rd September, 1998"--Introd.
Description: xi, 349 p. : ill. ; 24 cm.
Contents: Varietes, vecteurs, covecteurs, diffuseurs, codiffuseurs.- Semimartingales dans une variete et geometrie d'ordre 2.- Connexions et martingales.- Fonctions convexes et comportement des martingales.- Mouvements browniens et applications harmoniques.- Preface.- Estimating regression functions from Holder 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.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1738.
Responsibility: M. Emery, A. Nemirovski, D. Voiculescu ; editor, Pierre Bernard.
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