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Question: In his 1962 lectures for the Brandeis summer school, Jaynes introduced a die whose expected number of spots per roll is not 3.5 like for a fair die, but 4.5, and used the maximum entropy method to find the probabilities Pi that face i comes up. In 2014, van Enk gave two alternative solutions, one based on maximum entropy, one on Baryesian updating; both, unlike Jaynes’ solution, yield error bars. Report and discuss.
(Edwin T. Jaynes, Information theory and statistical mechanics, in Brandeis University Summer Institute Lectures in Theoretical Physics 1962, Volume 3, Statistical Physics,
edited by K. W. Ford, pages 181–218, Benjamin, New York, 1963)
(Steven van Enk, The Brandeis dice problem and statistical mechanics, Studies in History and Philosophy of Modern Physics 48 A, 1–6, 2014,)