• 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