Theoretical statistics
Subtitle: topics for a core course
By: Robert W. Keener
Series: Springer texts in statistics; Springer texts in statistics
Publisher: Springer
Published: 2010
Place of publication: New York
Language: eng
Number of pages: 538
ISBN-13: 9780387938387
Subjects: Probabilities; Mathematical statistics
Notes: Includes bibliographical references (p. [525]-529) and index.
Table of contents: title: Probability and measure; title: Exponential families; title: Risk, sufficiency, completeness, and ancillarity; title: Unbiased estimation; title: Curved exponential families; title: Conditional distributions; title: Bayesian estimation; title: Large-sample theory; title: Estimating equations and maximum likelihood; title: Equivariant estimation; title: Empirical bayes and shrinkage estimators; title: Hypothesis testing; title: Optimal tests in higher dimensions; title: General linear model; title: Bayesian inference : modeling and computation; title: Asymptotic optimality; title: Large-sample theory for likelihood ratio tests; title: Nonparametric regression; title: Bootstrap methods; title: Sequential methods; title: Appendix 1: Functions; title: Appendix 2: Topology and continuity in Rn; title: Appendix 3: Vector spaces and the geometry of Rn; title: Appendix 4: Manifolds and tangent spaces; title: Appendix 5: Taylor expansion for functions of several variables; title: Appendix 6: Inverting a partitioned matrix; title: Appendix 7: Central limit theory; title: Solutions.