Bayesian Statistics, a Review (CBMS-NSF Regional Conference Series in Applied Mathematics) (CBMS-NSF Regional Conference Series in Applied Mathematics)

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. 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 D. V. Lindley. Based On 10 Lectures Given At Oregon State University, July 1970. Bibliography: P. 75-83.