000 01747cam a22002177a 4500
999 _c223402
_d223402
020 _a9780387938387
082 0 0 _a519.5
_bKEE.T
100 1 _aKeener, Robert W.
245 1 0 _aTheoretical statistics :
_btopics for a core course /
_cRobert W. Keener.
260 _aNew York :
_bSpringer,
_c2010.
300 _axvii, 538 p. :
_bill. ;
490 1 _aSpringer texts in statistics,
504 _aIncludes bibliographical references (p. [525]-529) and index.
505 0 _aProbability 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.
650 0 _aMathematical statistics.
650 0 _aProbabilities.
856 4 1 _uhttp://www.loc.gov/catdir/enhancements/fy1311/2010935925-t.html
856 4 2 _uhttp://www.loc.gov/catdir/enhancements/fy1311/2010935925-b.html
856 4 2 _uhttp://www.loc.gov/catdir/enhancements/fy1311/2010935925-d.html
942 _cBK