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Theoretical statistics : topics for a core course /

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Keener, Robert W.
Μορφή: Printed Book
Έκδοση: New York : Springer, 2010.
Σειρά:Springer texts in statistics,
Θέματα:
Διαθέσιμο Online:http://www.loc.gov/catdir/enhancements/fy1311/2010935925-t.html
http://www.loc.gov/catdir/enhancements/fy1311/2010935925-b.html
http://www.loc.gov/catdir/enhancements/fy1311/2010935925-d.html
Πίνακας περιεχομένων:
  • 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.