Rethinking the Foundations of Statistics

Rethinking the Foundations of Statistics

by Joseph B. Kadane, Teddy Seidenfeld, Mark J. Schervish
     
 

ISBN-10: 0521640113

ISBN-13: 9780521640114

Pub. Date: 08/13/1999

Publisher: Cambridge University Press

This important collection of essays is a synthesis of foundational studies in Bayesian decision theory and statistics. An overarching topic of the collection is understanding how the norms for Bayesian decision making should apply in settings with more than one rational decision maker and then tracing out some of the consequences of this turn for Bayesian statistics.…  See more details below

Overview

This important collection of essays is a synthesis of foundational studies in Bayesian decision theory and statistics. An overarching topic of the collection is understanding how the norms for Bayesian decision making should apply in settings with more than one rational decision maker and then tracing out some of the consequences of this turn for Bayesian statistics. The volume will be particularly valuable to philosophers concerned with decision theory, probability, and statistics, statisticians, mathematicians, and economists.

Product Details

ISBN-13:
9780521640114
Publisher:
Cambridge University Press
Publication date:
08/13/1999
Series:
Cambridge Studies in Probability, Induction and Decision Theory Series
Pages:
398
Product dimensions:
5.98(w) x 8.98(h) x 1.06(d)

Related Subjects

Table of Contents

Introduction1
Pt. 1Decision Theory for Cooperative Decision Making
1.1On the Shared Preferences of Two Bayesian Decision Makers17
1.2Decisions Without Ordering40
1.3A Representation of Partially Ordered Preferences69
Pt. 2The Truth about Consequences
2.1Separating Probability Elicitation from Utilities133
2.2State-dependent Utilities149
2.3Shared Preferences and State-dependent Utilities169
2.4A Conflict Between Finite Additivity and Avoiding Dutch Book194
2.5Statistical Implications of Finitely Additive Probability211
Pt. 3Non-Cooperative Decision Making, Inference, and Learning with Shared Evidence
3.1Subjective Probability and the Theory of Games235
3.2Equilibrium, Common Knowledge, and Optimal Sequential Decisions246
3.3A Fair Minimax Theorem for Two-Person (Zero-Sum) Games Involving Finitely Additive Strategies267
3.4Randomization in a Bayesian Perspective293
3.5Characterization of Externally Bayesian Pooling Operators314
3.6An Approach to Consensus and Certainty with Increasing Evidence333
3.7Reasoning to a Foregone Conclusion349
3.8When Several Bayesians Agree That There Will Be No Reasoning to a Foregone Conclusion369
Index of Names383
Subject Index386

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