E. T. Jaynes: Papers on Probability, Statistics and Statistical Physics
The first six chapters of this volume present the author's 'predictive' or information theoretic' approach to statistical mechanics, in which the basic probability distributions over microstates are obtained as distributions of maximum entropy (Le. , as d
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A. BACKGROUND
Cox, R. T.: 1946, 'Probability, Frequency, and Reasonable Expectation',Amer. J. Phys. 14,1-13. Cox, R. T.: 1961, The Algebra of Probable Inference, Johns-Hopkins Press, Baltimore, Md .. de Finetti, B.: 1972, Probability. Induction. and Statistics, John Wiley and Sons, New York. Elsasser, W. M.: 1937,' 'On Quantum Measurements and the Role of Uncertainty Relations in Statistical Mechanics', Phys. Rev. 52,987 -999. Gibbs, J. W.: 1902, Elementary Principles in Statistical Mechanics, Yale University Press, New Haven, Conn .. Reprinted in The Collected Works of J. Wilkzrd Gibbs. Vol. 2, Yale University Press, 1948, and by Dover Publications, New York, 1960. Good, I. J.: 1950. Probability and the Weighing of Evidence, C. Griffm and Co., London. Jeffreys, H.: 1939, Theory of Probability, Oxford University Press (2nd edition, 1948; 3rd edition, 1961). Laplace, Pierre Simon de: 1812, Theorie analytique des probabilites, Paris (2nd edition, 1814; 3rd edition,1820). Reprinted in Oeuvres Completes, Vol. VII, Paris, 1847. Poincare, H.: 1912, Calcul des probabilites, Paris. Shannon, C. and Weaver, W.: 1949, The Mathe,natical Theory of Communication, The University of minois Press, Urbana, m .. B. DISCUSSIONS OF ENTROPY MAXIMIZATION AND RELA TED TOPICS
Box, G. E. P. and Tiao, G. E.: 1973,Bayesilln Inference and Statistical Analysis, AddisonWesley, Reading, Mass .. Csiszar, I.: 1975, 'I-Divergence Geometry of Probability Distributions and Minimization Problems',Ann. Prob. 3,146-158. Denbigh, K.: 1981, 'How Subjective is Entropy?', Chemistry in Britain 17, 168-185. Dias, P. and Shimony, A.: 1981, 'A Critique of Jaynes' Maximum Entropy Principle', Advances in Applied Mathematics 2, 172-211. Domotor, Z.: 1980, 'Probability Kinematics and Representation of Belief Change', Phil. Sci, 47,384-403. Domotor, Z.: 1981, 'Probability Kinematics, Conditionals, and Entropy Principles', manuscript, forthcoming in Synthese. Field, H.: 1978, 'A Note on Jeffrey Conditionalization', Phil. Sci. 45, 361-367. Friedman, K. and Shimony, A.: 1971, 'Jaynes Maximum Entropy Prescription and Probability Theory',/. Statist. Physics 3,381-384.
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SUPPLEMENTARY BIBLIOGRAPHY
Friedman, K.: 1973, 'Replies to Tribus and Motroni and to Gage and Hestenes', J. Statist. Physics 9, 265. Gage, D. W. and Hestenes, D.: 1973, 'Comments on the paper "Jaynes' Maximum Entropy Prescription and Probability Theory" " J. Statist. Physics 7, 89-90. Hartigan, J.A.: 1964, 'Invariant Prior Distributions', Ann. Math. Stat. 35,836. Hobson, A.: 1972, 'The Interpretation of Inductive Probabilities', J. Statist. Phys. 6,189-193. Hobson, A. and Cheng, B.: 1973, 'A Comparison of the Shannon and Kullback Information Measures',J. Statist. Phys. 7,301-310. Huzurbazar, V. S.: 1976, Sufficient Statistics, Marcel Dekker, New York. Jeffrey, R. c.: 1965, The Logic of Decision, McGraw-Hill, New York. Jeffreys, Sir Harold: 1946, 'An Invariant Form for the Prior Probability in Estimation Problems', Proc. Royal Society A186, 453-461. Johnson, R. W.: 1979a, 'Comments on "Prior Pr
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