Rethinking the Foundations of Statistics

Rethinking the Foundations of Statistics by Joseph B. Kadane is an illustrated collection published by Cambridge University Press on August 13, 1999, comprising 388 pages. This book presents a synthesis of foundational studies in Bayesian decision theory and statistics, focusing on how norms for Bayesian decision-making apply in scenarios involving multiple rational decision-makers.

Readers will find a thorough exploration of four principal themes: cooperative, non-sequential decisions; the representation and measurement of ‘partially ordered’ preferences; non-cooperative, sequential decisions; and pooling rules along with Bayesian dynamics for sets of probabilities. This volume is particularly relevant for those interested in the intersections of mathematics, probability, and philosophy, as well as for statisticians and economists seeking to deepen their understanding of decision theory and its implications.