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Bayesian Group Analysis

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Physics and Probability pdf

The Classical Limit of an Atom. Stroud Jr. Aristotle's Physics: A Collection of Essays. Lindsay Judson ed. Review: The Work of E. Jaynes on Probability, Statistics and Statistical Physics.

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Jaynes , D. Milligan - - British Journal for the Philosophy of Science 36 2 - The Well-Posed Problem. Jaynes - - Foundations of Physics 3 4 Glauber, Harvard University, October 19, Roy J.

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Glauber , Fritz Haake , L. Walls eds. Probability in Deterministic Physics. Ismael - - Journal of Philosophy 2 Prior Probabilities.

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Jaynes - - Ieee Transactions on Systems and Cybernetics 3 Grandy, Jr. Millonni and published by Cambridge University Press in Ed left us a virtually complete book manuscript entitled Probability Theory: The Logic of Science, a monumental contribution which, on-line and in preprint form, has already become one of the most widely studied books in science. His writings expose the foundations of "the calculus of inductive reasoning" with a clarity and elegance that will continue to enlighten and delight his readers for many generations to come.

Jaynes is probably best known for his contribution to the Principle of Maximum Entropy. Writing first in the Physical Review in , he had decades in which to simplify and clarify the arguments when he summarized them in Apply the Stirling approximation to the factorials you get calculating multiplicities and voila you get Shannon's familiar -sum p log p. One sees readily why an overwhelming fraction of outcomes are the high entropy outcomes, and therefore why, for example, virtually every common probability distribution, such as the uniform, exponential, geometric, normal, etc.

And the use of Lagrange Multipliers generally offers a very straightforward way to calculate such solutions. As a physicist whose advisor was Wigner , Jaynes was particularly obsessed with widely held conceptual blunders.

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From the same biography linked above:. Ed insisted that some of the thorniest conceptual problems faced in physics, notably in statistical physics and quantum theory, arise from a mistaken identification of probabilities as physical quantities rather than as representations of the available information on a system -- a confusion between what is ontological and what is epistemological.