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Essentials of Statistical Inference
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Essentials of Statistical Inference

Essentials of Statistical Inference

G.A. Young, R. L. Smith - Collection Cambridge series in statistical and probabilistic mathematics

236 pages, parution le 07/12/2005

Résumé

This engaging textbook presents the concepts and results underlying the Bayesian, frequentist and Fisherian approaches to statistical inference, with particular emphasis on the contrasts between them. Aimed at advanced undergraduates and graduate students in mathematics and related disciplines, it covers in a concise treatment both basic mathematical theory and more advanced material, including such contemporary topics as Bayesian computation, higher-order likelihood theory, predictive inference, bootstrap methods and conditional inference. It contains numerous extended examples of the application of formal inference techniques to real data, as well as historical commentary on the development of the subject. Throughout, the text concentrates on concepts, rather than mathematical detail, while maintaining appropriate levels of formality. Each chapter ends with a set of accessible problems. Some prior knowledge of probability is assumed, while some previous knowledge of the objectives and main approaches to statistical inference would be helpful but is not essential.

  • First text to synthesise basic mathematical theory with material on such modern computational topics as MCMC and bootstrap
  • Covers main approaches to statistical inference - Bayesian, frequentist, Fisherian - with emphasis on the contrasts between them
  • Written in an engaging style that emphasises concepts rather than dry mathematical detail, while maintaining appropriate levels of rigour

L'auteur - G.A. Young

G. A. Young : Imperial College London

L'auteur - R. L. Smith

R. L. Smith : University of North Carolina, Chapel Hill

Sommaire

  • Introduction
  • Decision theory
  • Bayesian methods
  • Hypothesis testing
  • Special models
  • Sufficiency and completeness
  • Two-sided tests and conditional inference
  • Likelihood theory
  • Higher-order theory
  • Predictive inference
  • Bootstrap methods
  • References
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Caractéristiques techniques

  PAPIER
Éditeur(s) Cambridge University Press
Auteur(s) G.A. Young, R. L. Smith
Collection Cambridge series in statistical and probabilistic mathematics
Parution 07/12/2005
Nb. de pages 236
Format 18 x 26
Couverture Relié
Poids 590g
Intérieur Noir et Blanc
EAN13 9780521839716
ISBN13 978-0-521-83971-6

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