Papers On Probability Statistics And Statistical Physics
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Author | : Edwin T. Jaynes |
Publisher | : Springer Science & Business Media |
Total Pages | : 468 |
Release | : 1989-04-30 |
Genre | : Mathematics |
ISBN | : 9780792302131 |
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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 general theory of inference, and the latter as an extension of the ordinary logic of consistency. Those who are familiar with the literature of statistics and statistical mechanics will recognize in both of these steps a genuine 'scientific revolution' - a complete reversal of earlier conceptions - and one of no small significance.
Author | : R.D. Rosenkrantz |
Publisher | : Springer Science & Business Media |
Total Pages | : 457 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9400965818 |
Download E. T. Jaynes: Papers on Probability, Statistics and Statistical Physics Book in PDF, Epub and Kindle
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 general theory of inference, and the latter as an extension of the ordinary logic of consistency. Those who are familiar with the literature of statistics and statistical mechanics will recognize in both of these steps a genuine 'scientific revolution' - a complete reversal of earlier conceptions - and one of no small significance.
Author | : R. D. Rosenkrantz |
Publisher | : |
Total Pages | : 464 |
Release | : 1983-01-31 |
Genre | : |
ISBN | : 9789400965829 |
Download E. T. Jaynes Book in PDF, Epub and Kindle
Author | : Edwin T. Jaynes |
Publisher | : |
Total Pages | : 434 |
Release | : 1983 |
Genre | : |
ISBN | : |
Download Papers on probability, statistics and statistical physics Book in PDF, Epub and Kindle
Author | : |
Publisher | : |
Total Pages | : 0 |
Release | : 1983 |
Genre | : |
ISBN | : |
Download ET Jaynes, Papers on Probability, Statistics and Statistical Physics Book in PDF, Epub and Kindle
Author | : Y. M. Guttmann |
Publisher | : Cambridge University Press |
Total Pages | : 283 |
Release | : 1999-07-13 |
Genre | : Mathematics |
ISBN | : 0521621283 |
Download The Concept of Probability in Statistical Physics Book in PDF, Epub and Kindle
A most systematic study of how to interpret probabilistic assertions in the context of statistical mechanics.
Author | : Josef Honerkamp |
Publisher | : Springer Science & Business Media |
Total Pages | : 416 |
Release | : 2013-03-09 |
Genre | : Science |
ISBN | : 3662037092 |
Download Statistical Physics Book in PDF, Epub and Kindle
Statistical Physics offers an advanced treatment with numerous applications to modern problems of relevance to researchers and students. Supplementing the concepts and methods employed in statistical mechanics, the book also covers the fundamentals of probability and statistics, mathematical statistics, and stochastic methods for the analysis of data. It is divided into two parts, the first focusing on the modeling of statistical systems, the second on the analysis of these systems.
Author | : P. Grassberger |
Publisher | : Springer Science & Business Media |
Total Pages | : 351 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9401110689 |
Download From Statistical Physics to Statistical Inference and Back Book in PDF, Epub and Kindle
Physicists, when modelling physical systems with a large number of degrees of freedom, and statisticians, when performing data analysis, have developed their own concepts and methods for making the `best' inference. But are these methods equivalent, or not? What is the state of the art in making inferences? The physicists want answers. More: neural computation demands a clearer understanding of how neural systems make inferences; the theory of chaotic nonlinear systems as applied to time series analysis could profit from the experience already booked by the statisticians; and finally, there is a long-standing conjecture that some of the puzzles of quantum mechanics are due to our incomplete understanding of how we make inferences. Matter enough to stimulate the writing of such a book as the present one. But other considerations also arise, such as the maximum entropy method and Bayesian inference, information theory and the minimum description length. Finally, it is pointed out that an understanding of human inference may require input from psychologists. This lively debate, which is of acute current interest, is well summarized in the present work.
Author | : Josef Honerkamp |
Publisher | : Springer Science & Business Media |
Total Pages | : 519 |
Release | : 2013-03-09 |
Genre | : Science |
ISBN | : 3662047632 |
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The book is divided into two parts. The first part looks at the modeling of statistical systems before moving on to an analysis of these systems. This second edition contains new material on: estimators based on a probability distribution for the parameters; identification of stochastic models from observations; and statistical tests and classification methods.
Author | : Edwin T. Jaynes |
Publisher | : Cambridge University Press |
Total Pages | : 296 |
Release | : 1993-09-02 |
Genre | : Mathematics |
ISBN | : 0521434718 |
Download Physics and Probability Book in PDF, Epub and Kindle
A collection of papers on the pioneering work of Edwin T. Jaynes in statistical physics, quantum optics and probability theory.