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Since the impressive works of Talagrand, concentration inequalities have been recognized as fundamental tools in several domains such as geometry of Banach spaces or random combinatorics. They also turn out to be essential tools to develop a non-asymptotic theory in statistics, exactly as the central limit theorem and large deviations are known to play a central part in the asymptotic theory. An overview of a non-asymptotic theory for model selection is given here and some selected applications to variable selection, change points detection and statistical learning are discussed. This volume reflects the content of the course given by P. Massart in St. Flour in 2003. It is mostly self-contained and accessible to graduate students.

Verdelingen (statistiek) --- Combinatieleer. --- Mathematical models --- Mathematical statistics --- Inequalities (Mathematics) --- Modèles mathématiques --- Statistique mathématique --- Inégalités (Mathématiques) --- Methodology --- Méthodologie --- Electronic books. -- local. --- Inequalities (Mathematics). --- Mathematical models. --- Mathematical statistics -- Methodology. --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Theory --- Mathematical Statistics --- Methodology. --- Statistical inference --- Statistics, Mathematical --- Models, Mathematical --- Statistical methods --- Mathematics. --- Information theory. --- Probabilities. --- Statistics. --- Probability Theory and Stochastic Processes. --- Statistical Theory and Methods. --- Information and Communication, Circuits. --- Statistical analysis --- Statistical data --- Statistical science --- Econometrics --- Probability --- Combinations --- Chance --- Least squares --- Risk --- Communication theory --- Communication --- Cybernetics --- Math --- Science --- Processes, Infinite --- Statistics --- Probabilities --- Sampling (Statistics) --- Simulation methods --- Distribution (Probability theory. --- Mathematical statistics. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Statistics . --- Mathematical statistics - Methodology

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Logopedie --- Wiskunde --- 3e leerjaar secundair onderwijs --- 4e leerjaar secundair onderwijs --- Beschrijvende statistiek --- Statistiek --- Goniometrie --- Algemeen secundair onderwijs --- Meetkunde --- Cirkels --- Rechten --- Veelhoeken --- Functies (wiskunde) --- Gelijkvormigheid --- Omtrek --- Oppervlakte --- Inhoud --- Reële functies --- Eerstegraadsfuncties --- Vergelijkingen --- Algebra --- Rekenen --- Tweedegraadsfuncties --- Tweedegraadsvergelijkingen --- Veeltermen --- Technisch secundair onderwijs --- Vraagstukken --- Rijen --- Tellen --- Kansrekening --- Ruimtemeetkunde --- Combinatieleer. --- Kansberekening. --- Secundair onderwijs. --- Meetkunde. --- Algebra. --- Functies (wiskunde). --- Driehoeksmeting. --- Statistiek. --- 371.67 --- 373.5 --- 372.851 --- 51 --- 51 Wiskunde. Mathematiek --- Wiskunde. Mathematiek --- 51 Mathematics --- Mathematics --- 372.851 Wiskundeonderwijs --(niet-universitair onderwijs) --- Wiskundeonderwijs --(niet-universitair onderwijs) --- 373.5 Middelbaar onderwijs --- 373.5 Middelbare scholen. Voortgezet onderwijs --- Middelbaar onderwijs --- Middelbare scholen. Voortgezet onderwijs --- 371.67 Leerboeken. Wetenschappelijk instrumentarium. Cartografische hulpmiddelen --- Leerboeken. Wetenschappelijk instrumentarium. Cartografische hulpmiddelen --- Schoolbooks - Didactic material --- #BSCH: vak: wiskunde (algebra, meetkunde) --- #KUPV:Eekhoutcentrum --- 485.3 --- algebra --- kansrekenen --- meetkunde --- ruimtemeetkunde --- schoolboeken --- statistieken --- wiskunde --- Wiskunde ; secundair onderwijs --- didactiek secundair onderwijs - wiskunde --- statistiek (economisch, sociaal, wiskundig) --- Contains audio-visual material --- Lijnen --- Statistiek (theorie) --- Cirkel --- Veelhoek --- Rechte (meetkunde) --- Functie (wiskunde) --- Reële functie --- Vergelijking (wiskunde) --- Tweedgraadsfunctie --- Tweedegraadsvergelijking --- Veelterm --- Vraagstuk (wiskunde) --- Rij