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Theoretical statistics : topics for a core course

Author: Robert W Keener
Publisher: New York : Springer, 2010.
Series: Springer texts in statistics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Keener, Robert W.
Theoretical statistics.
New York : Springer, 2010
(DLC) 2010935925
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Robert W Keener
ISBN: 9780387938394 0387938397
OCLC Number: 680624852
Description: 1 online resource (xvii, 538 pages) : illustrations.
Contents: 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.
Series Title: Springer texts in statistics.
Responsibility: Robert W. Keener.

Abstract:

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

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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 Read more...

 
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