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Optimum Inductive Methods : A Study in Inductive Probability, Bayesian Statistics, and Verisimilitude - Roberto Festa

Optimum Inductive Methods

A Study in Inductive Probability, Bayesian Statistics, and Verisimilitude

Hardcover Published: 30th September 1993
ISBN: 9780792324607
Number Of Pages: 194

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The problem of the choice of prior probabilities for Bayesian inferences is considered, with special reference to the theory of inductive probabilities and the analysis of the multinomial inferences provided by Bayesian statistics. Among other things, it is argued that the choice of prior probabilities in a given empirical inquiry should be suitably restricted by specific 'contextual constraints' such as the available background knowledge and the cognitive goal of the inquiry, where this goal is assumed to be the achievement of a high degree of verisimilitude.
One of the most original features of the book is the attempt at a 'coordinated development' of Bayesian statistics, the theory of inductive probabilities, and the verisimilitude theory.
The book will be of special interest to researchers and readers concerned with Bayesian inference and, more generally, to readers engaged in inductive logic, philosophy of science and statistics.

Acknowledgments
Introductionp. 1
Inductive Probabilities, Bayesian Statistics, and Verisimilitude
The Theory of Inductive Probabilities: Basic Features and Applicationsp. 13
Bayesian Statistics and Multinomial Inferences: Basic Featuresp. 20
Bayesian Point Estimation, Verisimilitude, and Immodestyp. 38
De Finetti's Theorem, GC-Systems, and Dirichlet Distributions
Exchangeable Inductive Methods, Bayesian Statistics, and Convergence Towards the Truthp. 51
GC-Systems and Dirichlet Distributionsp. 57
Verisimilitude, Disorder, and Optimum Prior Probabilities
The Choice of Prior Probabilities: The Subjective, Aprioristic, and Contextual Approachesp. 75
The Epistemic Problem of Optimality (EPO): A Contextual Approachp. 103
The Contextual Approach to EPO: Comparisons with Other Viewsp. 123
Disordered Universes: Diversity Measures in Statistics and the Empirical Sciencesp. 139
Concluding Remarksp. 150
Notesp. 154
Referencesp. 177
Index of Namesp. 185
Index of Subjectsp. 188
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792324607
ISBN-10: 0792324609
Series: Synthese Library
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 194
Published: 30th September 1993
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 1.91
Weight (kg): 1.05