Bayesian statistics: a review

D. V. Lindley9780898710021, 0898710022

A study of those statistical ideas that use a probability distribution over parameter space. The first part describes the axiomatic basis in the concept of coherence and the implications of this for sampling theory statistics. The second part discusses the use of Bayesian ideas in many branches of statistics.

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Table of contents :
BAYESIAN STATISTICS,A REVIEW……Page 1
Contents……Page 5
1. Introduction…….Page 9
2. Coherence…….Page 11
3. Sampling-theory statistics…….Page 18
4. Basic ideas in Bayesian statistics…….Page 25
5. Sequential experimentation…….Page 40
6. Finite population, sampling theory…….Page 43
7. Robustness…….Page 50
8. Multiparameter problems…….Page 57
9. Tolerance regions and predictive distributions…….Page 64
10. Multinomial data…….Page 67
11. Asymptotic results…….Page 69
12.1 Empirical Bayes and multiple decision problems…….Page 72
Bibliography……Page 83