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Some history of the hierarchical Bayesian methodology
Authors:I J Good
Affiliation:(1) Virginia Polytechnic Institute and State University, Virginia, USA
Abstract:Summary A standard technique in subjective “Bayesian” methodology is for a subject (“you”) to make judgements of the probabilities that a physical probability lies in various intervals. In the hierarchical Bayesian technique you make probability judgements (of a higher type, order, level, or stage) concerning the judgements of lower type. The paper will outlinesome of the history of this hierarchical technique with emphasis on the contributions by I. J. Good because I have read every word written by him.
Keywords:Hierarchical Bayes  Partially-Ordered Probabilities  Upper and Lower Probabilities  Empirical Bayes  Species Frequencies  Multinomial Estimation  Probability Estimation in Contingency Tables  Probability Density Estimation  Maximum Entropy  ML/E Method  Type II Likelihood Ratio  Information in Marginal Totals  Kinds of Probability  Bayes/Non-Bayes Synthesis  Hyper-Razor of Duns and Ockham
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