E. T. Jaynes: Papers on Probability, Statistics and Statistical Physics

E. T. Jaynes: Papers on Probability, Statistics and Statistical Physics

Description

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.

Similar Books

ISBN 10: 0521592712
ISBN 13: 9780521592710

04 Oct 2003
E. T. Jaynes

ISBN 10: 0521617103
ISBN 13: 9780521617109

31 Dec 2004
Jr. W. T. Grandy

ISBN 10: 0521718228
ISBN 13: 9780521718226

11 Jul 2011
Melanie J. Hatcher

ISBN 10: 1107661692
ISBN 13: 9781107661691

31 Mar 2012
George J. Gilboy

ISBN 10: 0141034599
ISBN 13: 9780141034591

28 Feb 2008
Nassim Nicholas Taleb

ISBN 10: 039334777X
ISBN 13: 9780393347777

19 Sep 2016
Charles Wheelan

ISBN 10: 0141982411
ISBN 13: 9780141982410

04 Oct 2019
Judea Pearl

ISBN 10: 1491910399
ISBN 13: 9781491910399

20 Jan 2017
Garrett Grolemund

ISBN 10: 0062086448
ISBN 13: 9780062086440

06 Jul 2011
Dr Dan Ariely

ISBN 10: 0241258766
ISBN 13: 9780241258767

13 Feb 2020
David Spiegelhalter

ISBN 10: 0061234001
ISBN 13: 9780061234002

17 Oct 2006
Steven D. Levitt

ISBN 10: 1108407307
ISBN 13: 9781108407304

30 Apr 2018
Dean Chalmers