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 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.

Full Product Details

Author:   R. Festa
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1993
Volume:   232
Dimensions:   Width: 15.20cm , Height: 1.10cm , Length: 22.30cm
Weight:   0.330kg
ISBN:  

9789048143184

ISBN 10:   9048143187
Pages:   194
Publication Date:   07 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Awaiting stock  
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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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