Overview

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 features of the book is it attempts a ""coordinated development"" of Bayesian statistics, the theory of inductive probabilities, and the verisimilitude theory. The book should be of interest to researchers and readers concerned with Bayesian inference and, more generally, to readers engaged in inductive logic, philosophy of science and statistics.

Full Product Details

Author:   R. Festa
Publisher:   Kluwer Academic Publishers
Imprint:   Kluwer Academic Publishers
Edition:   1993 ed.
Volume:   232
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   1.050kg
ISBN:  

9780792324607

ISBN 10:   0792324609
Pages:   194
Publication Date:   30 September 1993
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

1. Introduction.- 2. The Theory of Inductive Probabilities: Basic Features and Applications.- 3. Bayesian Statistics and Multinomial Inferences: Basic Features.- 4. Bayesian Point Estimation, Verisimilitude, and Immodesty.- 5. Exchangeable Inductive Methods, Bayesian Statistics, and Convergence towards the Truth.- 6. GC-Systems and Dirichlet Distributions.- 7. The Choice of Prior Probabilities: The Subjective, Aprioristic, and Contextual Approaches.- 8. The Epistemic Problem of Optimality (EPO): A Contextual Approach.- 9. The Contextual Approach to EPO: Comparisons with Other Views.- 10. Disordered Universes: Diversity Measures in Statistics and the Empirical Sciences.- 11. Concluding Remarks.- Notes.- References.- Index of Names.- Index of Subjects.- List of requirements and acronyms.

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