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Bayesian inference is statistical inference in which evidence or observations are used to update or to newly infer the probability that a hypothesis may be true. The name "Bayesian" comes from the frequent use of Bayes' theorem in the inference process. Bayes' theorem was derived from the work of the Reverend Thomas Bayes.
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Decision Analysis Society - Promotes the development and use of logical methods for the improvement of decision-making. International Society for Bayesian Analysis - Promotes the development and application of Bayesian statistical theory and methods useful in the solution of theoretical and applied problems in science, industry and government. The Bayesian Songbook - A collection of often humorous songs with bayes-related lyrics sang to popular tunes on the last nights of the Valencia meetings on Bayesian statistics. Lyrics in LaTeX and postscript formats. Wav files of some songs available. Duke University Institute of Statistics and Decision Sciences - The institute has a strong focus on Bayesian statistics. Probability Theory As Extended Logic - A monumental online book by the late E. T. Jaynes on Bayesian inference. Also has a number of related articles by other authors. Biography of Reverend Thomas Bayes (1702-1761) - Part of the University of St. Andrews History of Mathematics archive. Non-subjective Bayesian Statistical Methodology - A website and mailing list on non-subjective priors (e.g. non-informative, conventional and reference priors). Bayesian Analysis Archive - Part of the ArXiv e-print repository. Measurement Decision Theory - Includes rules, examples, and information about adaptive testing and sequential decisions. Main ideas are presented using a binary classification (pass/fail) test and a sample three-item test. Wikipedia: Bayesian Inference - Encyclopedia article on the statistical inference in which evidence or observations are used to update or to newly infer the probability that a hypothesis may be true. Bayesian Inference for the Physical Sciences - An annotated index for information on Bayesian inference for the physical sciences. Bayesian Programming - Promotes the thesis that probability is an alternative to logic, allowing rational decisions to be made with incomplete and uncertain knowledge. Scholarpedia: Bayesian Statistics - Encyclopedia article on this system for describing epistemological uncertainty using the mathematical language of probability. Making Sense of Probability: Fallacies, Myths and Puzzles - Norman Fenton provides many examples of probability problems that people normally get wrong or do not understand. Bayesian Belief Networks - Online tutorial with an introduction to probability theory and to Bayesian belief networks. Bayesian Methods for Hackers - Probabilistic programming with a computation/understanding-first, mathematics-second point of view. Open source.
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