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Theoretical statistics topics for a core course

Author: Robert W Keener
Publisher: New York Springer 2010. ©2010
Series: Springer texts in statistics.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
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Document Type: Book
All Authors / Contributors: Robert W Keener
ISBN: 0387938389 9780387938387 0387938397 9780387938394
OCLC Number: 981397081
Description: xvii, 538 páginas ilustraciones 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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