Comparative Statistical Inference

Provides a general, cross-sectional view of statistical inference and decision-making. Constructs a rational, composite theory for the way individuals react, or should react, stressing interrelationships and conceptual conflicts. Traces the range of different definitions and interpretations of the probability concepts which underlie different approaches to statistical inference and decision-making. Outlines utility theory and its implications for general decision-making. Discusses the Neyman-Pearson approach, Bayesian methods, and Decision Theory. Pays particular attention to the basic concepts of probability, utility, likelihood, sufficiency, conjugacy, and admissibility, both within and between the different approaches.