RecordNumber
1960
Author
Keener, Robert W
Title
Theoretical statistics: topics for a core course
Author Statement
Robert W. Keener.
Publication
Springer
Publication Year
2010
Collation
xvii, 538 p. ill. 24 cm
Series
Springer texts in statistics
Notes
Includes bibliographical references (p. [525]-529) and index. , 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
Subject
Mathematical statistics. , Probabilities.
ADDED ENTRIES
,
LC Class
QA
LC Number
276
LC CutterNumber
.K246
LC Date
2010