Elements of Bayesian Statistics

Jean-Pierre Florens

• Preface, Notation, Basic Tools and Notation from Probability Theory, 1. Bayesian Experiments, 2. Admissible Reductions: Sufficiency and Ancillarity, 3. Admissible Reductions in Reduced Experiments, 4. Optimal Reductions: Maximal Ancillarity and Minimal Sufficiency, 5. Optimal Reductions: Further Results, 6. Sequential Experiments, 7. Asymptotic Experiments, 8. Invariant Experiments, 9. Invariance in Stochastic Processes.

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