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Lectures on Probability Theory and Statistics: Ecole d'Ete de Probabilites de Saint-Flour XXVIII - 1998 - Softcover
Synopsis
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.
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