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Bayes Theory (Springer Series in Statistics) by John A. Hartigan is a book available to read on EtoBox.

What is Bayes Theory (Springer Series in Statistics) about?

This book is based on lectures given at Yale in 1971-1981 to students prepared with a course in measure-theoretic probability. It contains one technical innovation-probability distributions in which the total probability is infinite. Such improper distributions arise embarras­ singly frequently in Bayes theory, especially in establishing correspondences between Bayesian and Fisherian techniques. Infinite probabilities create interesting complications in defining conditional probability and limit concepts. The main results are theoretical, probabilistic conclusions derived from probabilistic assumptions. A useful theory requires rules for constructing and interpreting probabilities. Probabilities are computed from similarities, using a formalization of the idea that the future will probably be like the past. Probabilities are objectively derived from similarities, but similarities are sUbjective judgments of individuals. Of course the theorems remain true in any interpretation of probability that satisfies the formal axioms. My colleague David Potlard helped a lot, especially with Chapter 13. Dan Barry read proof. vii Contents CHAPTER 1 Theories of Probability 1. 0. Introduction 1 1

Author

John A. Hartigan

Publisher

New York: Springer-Verlag

Published

2012

Language

EN

ISBN

9781461382423

Subjects

Mathematics, Technology, Science

Rating

1 / 5 (1 ratings)

Updated

2026-03-13