Theoretical Statistics Topics for a Core Course /

Intended as the text for a sequence of advanced courses, this book covers major topics in theoretical statistics in a concise and rigorous fashion. The discussion assumes a background in advanced calculus, linear algebra, probability, and some analysis and topology. Measure theory is used, but the n...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Keener, Robert W. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2010.
Edición:1st ed. 2010.
Colección:Springer Texts in Statistics,
Temas:
Statistics .
Statistical Theory and Methods.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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 Optimality1
  • Large-Sample Theory for Likelihood Ratio Tests
  • Nonparametric Regression
  • Bootstrap Methods
  • Sequential Methods.

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