The ingratiating title notwithstanding, this is in no standard sense a text but a monograph, based largely upon the authors' research over a period of years, and intended to be read by sophisticated students of theoretical statistics. No exercises attach to the nine chapters, nor are they interrup
Table of Contents
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.