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Lectures on Probability Theory and Statistics : Ecole d'Eté de Probabilités de Saint-Flour XXVIII - 1998 / by Michel Emery, Arkadi Nemirovski, Dan Voiculescu ; edited by Pierre Bernard.
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View onlineMath/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2379,2381-2384 2385-2386,2388-2389
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LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Emery, Michel, 1949- author.
- Nemirovskiĭ, A. S. (Arkadiĭ Semenovich), author.
- Voiculescu, Dan, author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1738.
- Lecture Notes in Mathematics, 0075-8434 ; 1738
- Language:
- English
- Subjects (All):
- Distribution (Probability theory).
- Global analysis (Mathematics).
- Global differential geometry.
- Mathematical statistics.
- Probability Theory and Stochastic Processes.
- Analysis.
- Differential Geometry.
- Statistical Theory and Methods.
- Local Subjects:
- Probability Theory and Stochastic Processes.
- Analysis.
- Differential Geometry.
- Statistical Theory and Methods.
- Physical Description:
- 1 online resource (XIII, 349 pages).
- Contained In:
- Springer eBooks
- Other Title:
- MSC 2000: 46L10, 46L53
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000.
- System Details:
- text file PDF
- Summary:
- 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.
- Contents:
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9783540450290
- Access Restriction:
- Restricted for use by site license.
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