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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:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:

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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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Robert W Keener
ISBN: 9780387938387 0387938389 9780387938394 0387938397
OCLC Number: 688477588
Description: xvii, 538 p. : ill. ; 24 cm.
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 --
Appendix 1: Functions --
Appendix 2: Topology and continuity in Rn --
Appendix 3: Vector spaces and the geometry of Rn --
Appendix 4: Manifolds and tangent spaces --
Appendix 5: Taylor expansion for functions of several variables --
Appendix 6: Inverting a partitioned matrix --
Appendix 7: Central limit theory --
Solutions.
Series Title: Springer texts in statistics.
Responsibility: Robert W. Keener.
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