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Bayesian Statistics. A Review

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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.

Author(s): D. V. Lindley
Series: CBMS-NSF Regional Conference Series in Applied Mathematics
Publisher: Society for Industrial Mathematics
Year: 1987

Language: English
Pages: 91

Bayesian Statistics, A Review......Page 3
Contents......Page 5
Preface......Page 7
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 56
9. Tolerance regions and predictive distributions......Page 63
10. Multinomial data......Page 66
11. Asymptotic results......Page 68
1. Empirical Bayes and multiple decision problems......Page 71
2. Nonparametric statistics......Page 73
3. Multivariate statistics......Page 75
4. Invariance theories......Page 76
5. Comparison of Bayesian and orthodox procedures......Page 78
6. Information......Page 79
7. Probability assessments......Page 81
Bibliography......Page 82