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Rethinking the Foundations of Statistics : Cambridge Studies in Probability, Induction and Decision Theory - Joseph B. Kadane

Rethinking the Foundations of Statistics

Cambridge Studies in Probability, Induction and Decision Theory

Paperback

Published: 10th January 2000
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  • Hardcover View Product Published: 13th August 1999
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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.

"The material is well presented, and the authors themselves have made significant contributions to this area...should greatly appeal to philosophers, advanced graduate students, and researchers interested in exploring and researching the foundations of Bayesian statistics." CHOICE

Introduction
Decision Theory for Cooperative Decision-Making
Shared preferences of two Bayesian decision makers
Decisions without ordering
A representation of partially ordered preferences
The Truth About Consequences
Separating probability elicitation from utilities
State-dependent utilities
Shared preferences and state-dependent utilities
A conflict between finitely additive probability and avoiding Dutch book
Statistical implications of finitely additive probability
Non-Cooperative Decision Making, Inference, and Learning with Shared Evidence
Subjective probability and the theory of games
Equilibrium, common knowledge, and optimal sequential decisions
A fair minimax theorem for 2 person (zero-sum) games involving finitely additive strategies
Randomization in a Bayesian perspective
Characterizations of externally Bayesian pooling operators
An approach to consensus and certainty with increasing evidence
Reasoning to a foregone conclusion
When several Bayesians agree that there will be no reasoning to a foregone conclusion
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521649759
ISBN-10: 0521649757
Series: Cambridge Studies in Probability, Induction and Decision Theory
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 400
Published: 10th January 2000
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 2.3
Weight (kg): 0.59