Bayesian inference in statistical analysis [[electronic resource] /] / George E.P. Box, George C. Tiao

• Autore: Box George E. P
• Pubblicazione: New York, : Wiley, 1992
• Edizione: Wiley classics library ed.
• Descrizione fisica: 1 online resource (610 p.)
• Disciplina: 519.54; 519.542
• Soggetto topico: Mathematical statistics
• Soggetto genere / forma: Electronic books.
• Altri autori: TiaoGeorge C. <1933->
• Note generali: Originally published: Reading, Mass. : Addison-Wesley Pub. Co., c1973.; "A Wiley-Interscience publication."
• Nota di bibliografia: Includes bibliographical references (p. 571-579) and indexes.
• Nota di contenuto: BAYESIAN INFERENCE IN STATISTICAL ANALYSIS; CONTENTS; Chapter 1 Nature of Bayesian Inference; 1.1 Introduction and summary; 1.1.1 The role of statistical methods in scientific investigation; 1.1.2 Statistical inference as one part of statistical analysis; 1.1.3 The question of adequacy of assumptions; 1.1.4 An iterative process of model building in statistical analysis; 1.1.5 The role of Bayesian analysis; 1.2 Nature of Bayesian inference; 1.2.1 Bayes' theorem; 1.2.2 Application of Bayes' theorem with probability interpreted as frequencies ; 1.2.3 Application of Bayes' theorem with subjective probabilities1.2.4 Bayesian decision problems; 1.2.5 Application of Bayesian analysis to scientific inference; 1.3 Noninformative prior distributions; 1.3.1 The Normal mean θ(σ2 known); 1.3.2 The Normal standard deviation σ(θ known); 1.3.3 Exact data translated likelihoods and noninformative priors; 1.3.4 Approximate data translated likelihood; 1.3.5 Jeffreys' rule, information measure, and noninformative priors; 1.3.6 Noninformative priors for multiple parameters; 1.3.7 Noninformative prior distributions: A summary ; 1.4 Sufficient statistics1.4.1 Relevance of sufficient statistics in Bayesian inference; 1.4.2 An example using the Cauchy distribution; 1.5 Constraints on parameters; 1.6 Nuisance parameters; 1.6.1 Application to robustness studies; 1.6.2 Caution in integrating out nuisance parameters; 1.7 Systems of inference; 1.7.1 Fiducial inference and likelihood inference; Appendix A1.1 Combination of a Normal prior and a Normal likelihood; Chapter 2 Standard Normal Theory Inference Problems; 2.1 Introduction; 2.1.1 The Normal distribution; 2.1.2 Common Normal-theory problems ; 2.1.3 Distributional assumptions2.2 Inferences concerning a single mean from observations assuming common known variance; 2.2.1 An example; 2.2.2 Bayesian intervals; 2.2.3 Parallel results from sampling theory; 2.3 Inferences concerning the spread of a Normal distribution from observations having common known mean; 2.3.1 The inverted χ2, inverted χ, and the log χ distributions; 2.3.2 Inferences about the spread of a Normal distribution; 2.3.3 An example; 2.3.4 Relationship to sampling theory results; 2.4 Inferences when both mean and standard deviation are unknown; 2.4.1 An example ; 2.4.2 Component distributions of p(θ, σ | y)2.4.3 Posterior intervals for θ; 2.4.4 Geometric interpretation of the derivation of p(θ | y); 2.4.5 Informative prior distribution of σ; 2.4.6 Effect of changing the metric of σ for locally uniform prior; 2.4.7 Elimination of the nuisance parameter σ in Bayesian and sampling theories; 2.5 Inferences concerning the difference between two means; 2.5.1 Distribution oft θ2 - θ1 when σ21 = σ22; 2.5.2 Distribution of θ2 - θ1 when σ21 and σ22 are not assumed equal; 2.5.3 Approximations to the Behrens-Fisher distribution; 2.5.4 An example ; 2.6 Inferences concerning a variance ratio
• Sommario/riassunto: The Wiley Classics Library consists of selected books that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: T. W. Anderson The Statistical Analysis of Time Series T. S. Arthanari & Yadolah Dodge Mathematical Programming in Statistics Emil Artin Geometric Algebra Norman T. J. Bailey The Elements of Stochastic Processes with Applications to the Natural Sciences Rob
• Titolo autorizzato: Bayesian inference in statistical analysis
• ISBN: 1-282-25164-3; 9786613813909; 1-118-03319-1; 1-118-03144-X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910139190603321
• Lo trovi qui: Univ. Federico II
• Serie: Wiley Classics Library