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Titlebook: E. T. Jaynes: Papers on Probability, Statistics and Statistical Physics; R. D. Rosenkrantz Book 1989 Kluwer Academic Publishers 1989 proba

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发表于 2025-3-21 20:04:45 | 显示全部楼层 |阅读模式
书目名称E. T. Jaynes: Papers on Probability, Statistics and Statistical Physics
编辑R. D. Rosenkrantz
视频videohttp://file.papertrans.cn/301/300215/300215.mp4
丛书名称Synthese Library
图书封面Titlebook: E. T. Jaynes: Papers on Probability, Statistics and Statistical Physics; R. D. Rosenkrantz Book 1989 Kluwer Academic Publishers 1989 proba
描述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 distributions that are most non-committal with regard to missing information among all those satisfying the macroscopically given constraints). There is then no need to make additional assumptions of ergodicity or metric transitivity; the theory proceeds entirely by inference from macroscopic measurements and the underlying dynamical assumptions. Moreover, the method of maximizing the entropy is completely general and applies, in particular, to irreversible processes as well as to reversible ones. The next three chapters provide a broader framework - at once Bayesian and objective - for maximum entropy inference. The basic principles of inference, including the usual axioms of probability, are seen to rest on nothing more than requirements of consistency, above all, the requirement that in two problems where we have the same information we must assign the same probabilities. Thus, statistical mechanics is viewed as a branch of a gen
出版日期Book 1989
关键词probability; statistical physics; statistics
版次1
doihttps://doi.org/10.1007/978-94-009-6581-2
isbn_softcover978-0-7923-0213-1
isbn_ebook978-94-009-6581-2Series ISSN 0166-6991 Series E-ISSN 2542-8292
issn_series 0166-6991
copyrightKluwer Academic Publishers 1989
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Information Theory and Statistical Mechanics I (1957),to convey the new ideas of Information Theory to Professor G. Uhlenbeck, in hope of enlisting his support and getting his constructive suggestions as to how these ideas might be implemented in Statistical Mechanics.
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Information Theory and Statistical Mechanics II (1957), weakness was in trying to do too much. A single article communicates best if it confines itself to a single topic, but this one touched lightly on a dozen matters, each of which needs a full article to do it justice. In particular, all the ramifications of the ‘Information Game’ and its relation to
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Gibbs vs Boltzmann Entropies (1965), entropy production. For a time it appeared that this conception might be justified in statistical theory. However, these arguments (de Groot and Mazur, 1962) used the Boltzmann .-function definition of entropy, . = —. based on the single-particle distribution function. Recognition of the difficulti
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Delaware Lecture (1967),my notes for several Colloquium talks given at various Universities since the Brandeis lectures. So they were assembled into one manuscript for the following lecture delivered at the University of Delaware on March 9,1965.
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Prior Probabilities (1968),e theory after the recognition of the proper continuous entropy expression in .. Introducing the ‘measure’ .(.) achieved the needed invariance of the results with respect to parameter changes, but left the practical problem untouched. Given .(.) in one parameter space, the mathematics tells us how t
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