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The Bayesian Choice: A Decision-Theoretic Motivation

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1. Introduction.- 2. Decision-Theoretic Foundations of Statistical Inference.- 3. From Prior Information to Prior Distributions.- 4. Bayesian Point Estimation.- 5. Tests and Confidence Regions.- 6. Admissibility and Complete Classes.- 7. Invariance, Haar Measures, and Equivariant Estimators.- 8. Hierarchical and Empirical Bayes Extensions.- 9. Bayesian Calculations.- 10. A Defense of the Bayesian Choice.- Appendix Usual Probability Distributions.- Appendix Usual Pseudorandom Generators.- Notation.- References.- Author Index.

452 pages, Paperback

Published March 10, 2013

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Christian P. Robert

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