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Titlebook: Bayes Theory; J. A. Hartigan Book 1983 Springer-Verlag New York Inc. 1983 Bayessches Verfahren.Finite.Logic.boundary element method.condit

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期刊全称Bayes Theory
影响因子2023J. A. Hartigan
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学科分类Springer Series in Statistics
图书封面Titlebook: Bayes Theory;  J. A. Hartigan Book 1983 Springer-Verlag New York Inc. 1983 Bayessches Verfahren.Finite.Logic.boundary element method.condit
影响因子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
Pindex Book 1983
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Ana Ferreira,Lynne Coventry,Gabriele LenziniFor example, if we assume that a penny has probability 1/2 of coming down heads on each toss, and that the different tosses are independent, it follows that the limiting proportion of heads will be 1/2 almost surely.
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Stefan Bauer,Edward W.N. Bernroideristribution mean the sample mean is unbiased with variance 2/π times the variance of the sample median, for all values of the distribution mean, so it is to be preferred to the sample median. Of course, it may be difficult in general to decide between the two families of distributions.
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978-1-4613-8244-7Springer-Verlag New York Inc. 1983
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