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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:   Print book : Conference publication : EnglishView all editions and formats
Database:WorldCat
Summary:

MSC 2000: 46L10, 46L53

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Genre/Form: Conference papers and 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"--Introduction.
Description: xi, 349 pages : illustrations ; 24 cm.
Contents: "Martingales Continues Dans Les Varietes Differentiables" / Michel Emery --
1. Variete, vecteurs, covecteurs, diffuseurs, codiffuseurs --
2. Semimartingales dans une variete et geometrie d'ordre 2 --
3. Connexions et martingales --
4. Fonctions convexes et comportement des martingales --
5. Mouvements browniens et applications harmoniques --
"Topics in Non-Parametric Statistics" / Arkadi Nemirovski --
1. Estimating regression functions from Holder balls --
2. Estimating regression functions from Sobolev balls --
3. Spatial adaptive estimation on Sobolev balls --
4. Estimating signals satisfying differential inequalities --
5. Aggregation of estimates, I --
6. Aggregation of estimates, II --
7. Estimating functionals, I --
8. Estimating functionals, II --
"Lectures on Free Probability Theory" / Dan Voiculescu --
1. Noncommutative Probability and Operator Algebra Background --
2. Addition of Freely Independent Noncommutative Random Variables --
3. Multiplication of Freely Independent Noncommutative Random Variables --
4. Generalized Canonical Form, Noncrossing Partitions --
5. Free Independence with Amalgamation --
6. Some Basic Free Processes --
7. Random Matrices in the Large N Limit --
8. 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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