TY - BOOK AU - Keener,Robert W. TI - Theoretical statistics: topics for a core course T2 - Springer texts in statistics, SN - 9780387938387 U1 - 519.5 PY - 2010/// CY - New York PB - Springer KW - Mathematical statistics KW - Probabilities N1 - 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 UR - http://www.loc.gov/catdir/enhancements/fy1311/2010935925-t.html UR - http://www.loc.gov/catdir/enhancements/fy1311/2010935925-b.html UR - http://www.loc.gov/catdir/enhancements/fy1311/2010935925-d.html ER -