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Theoretical statistics : topics for a core course

Auteur : Robert W Keener
Éditeur : New York : Springer, 2010.
Collection : Springer texts in statistics.
Édition/format :   Livre électronique : Document : EnglishVoir toutes les éditions et tous les formats
Base de données :WorldCat
Résumé :
Intended as the text for a sequence of advanced courses, this book covers major topics in theoretical statistics in a concise and rigorous fashion. The discussion assumes a background in advanced calculus, linear algebra, probability, and some analysis and topology. Measure theory is used, but the notation and basic results needed are presented in an initial chapter on probability, so prior knowledge of these topics  Lire la suite...
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Détails

Genre/forme : Electronic books
Format – détails additionnels : Print version:
Keener, Robert W.
Theoretical statistics.
New York : Springer, 2010
(DLC) 2010935925
(OCoLC)688477588
Type d’ouvrage : Document, Ressource Internet
Format : Internet Resource, Computer File
Tous les auteurs / collaborateurs : Robert W Keener
ISBN : 9780387938394 0387938397
Numéro OCLC : 676700036
Description : 1 online resource (xvii, 538 pages) : illustrations.
Contenu : Probability and measure --
Exponential families --
Risk, sufficiency, completeness, and ancillarity --
Unbiased estimation --
Curved exponential families --
Conditional distributions --
Bayesian estimation --
Large sample theory --
Estimating equations and maximum likelihood --
Equivariant estimation --
Empirical bayes and shrinkage estimators --
Hypothesis testing --
Optimal tests in higher dimensions --
General linear model --
Bayesian inference: Modeling and computation --
Asymptotic optimality --
Large sample theory for likelihood ratio tests --
Nonparametric regression --
Bootstrap methods --
Sequential methods.
Titre de collection : Springer texts in statistics.
Responsabilité : Robert W. Keener.

Résumé :

Covers topics in theoretical statistics. This book includes chapters that covers bootstrap methods, nonparametric regression, equivariant estimation, empirical Bayes, and sequential design and  Lire la suite...

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From the reviews: "The book is innovative in the presentation and in mashing the traditional material with modern topics. The presentation shows a great mastery of the subject. ... recommended to Lire la suite...

 
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