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Author: Mark Kac
Publisher: American Mathematical Soc.
ISBN: 0821800477
Category : Mathematics
Languages : en
Pages : 266
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Book Description
Nothing provided
Author: Mark Kac
Publisher: American Mathematical Soc.
ISBN: 0821800477
Category : Mathematics
Languages : en
Pages : 266
Get Book
Book Description
Nothing provided
Author: Mark Kac
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 266
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Book Description
Author: Byron P. Roe
Publisher: Springer Nature
ISBN: 3030536947
Category : Science
Languages : en
Pages : 285
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Book Description
This book, now in its third edition, offers a practical guide to the use of probability and statistics in experimental physics that is of value for both advanced undergraduates and graduate students. Focusing on applications and theorems and techniques actually used in experimental research, it includes worked problems with solutions, as well as homework exercises to aid understanding. Suitable for readers with no prior knowledge of statistical techniques, the book comprehensively discusses the topic and features a number of interesting and amusing applications that are often neglected. Providing an introduction to neural net techniques that encompasses deep learning, adversarial neural networks, and boosted decision trees, this new edition includes updated chapters with, for example, additions relating to generating and characteristic functions, Bayes’ theorem, the Feldman-Cousins method, Lagrange multipliers for constraints, estimation of likelihood ratios, and unfolding problems.
Author: Andy Lawrence
Publisher: Springer Nature
ISBN: 3030045447
Category : Science
Languages : en
Pages : 347
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Book Description
This textbook presents an introduction to the use of probability in physics, treating introductory ideas of both statistical physics and of statistical inference, as well the importance of probability in information theory, quantum mechanics, and stochastic processes, in a unified manner. The book also presents a harmonised view of frequentist and Bayesian approaches to inference, emphasising their complementary value. The aim is to steer a middle course between the "cookbook" style and an overly dry mathematical statistics style. The treatment is driven by real physics examples throughout, but developed with a level of mathematical clarity and rigour appropriate to mid-career physics undergraduates. Exercises and solutions are included.
Author: Carlos Maña
Publisher: Springer
ISBN: 3319557386
Category : Science
Languages : en
Pages : 244
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Book Description
This book comprehensively presents the basic concepts of probability and Bayesian inference with sufficient generality to make them applicable to current problems in scientific research. The first chapter provides the fundamentals of probability theory that are essential for the analysis of random phenomena. The second chapter includes a full and pragmatic review of the Bayesian methods that constitute a natural and coherent framework with enough freedom to analyze all the information available from experimental data in a conceptually simple manner. The third chapter presents the basic Monte Carlo techniques used in scientific research, allowing a large variety of problems to be handled difficult to tackle by other procedures. The author also introduces a basic algorithm, which enables readers to simulate samples from simple distribution, and describes useful cases for researchers in particle physics.The final chapter is devoted to the basic ideas of Information Theory, which are important in the Bayesian methodology. This highly readable book is appropriate for graduate-level courses, while at the same time being useful for scientific researches in general and for physicists in particular since most of the examples are from the field of Particle Physics.
Author: Claus Beisbart
Publisher: Oxford University Press
ISBN: 0199577439
Category : Philosophy
Languages : en
Pages : 450
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Book Description
This volume provides a philosophical appraisal of probabilities in all of physics. It makes sense of probabilistic statements as they occur in the various physical theories and models and presents a plausible epistemology and metaphysics of probabilities.
Author: R.D. Rosenkrantz
Publisher: Springer Science & Business Media
ISBN: 9400965818
Category : Mathematics
Languages : en
Pages : 457
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Book 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.
Author: Alston Scott Householder
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 292
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Book Description
Author:
Publisher: Academic Press
ISBN: 9780080860169
Category : Science
Languages : en
Pages : 542
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Book Description
This volume of Methods of Experimental Physics provides an extensive introduction to probability and statistics in many areas of the physical sciences, with an emphasis on the emerging area of spatial statistics. The scope of topics covered is wide-ranging-the text discusses a variety of the most commonly used classical methods and addresses newer methods that are applicable or potentially important. The chapter authors motivate readers with their insightful discussions. Examines basic probability, including coverage of standard distributions, time series models, and Monte Carlo methods Describes statistical methods, including basic inference, goodness of fit, maximum likelihood, and least squares Addresses time series analysis, including filtering and spectral analysis Includes simulations of physical experiments Features applications of statistics to atmospheric physics and radio astronomy Covers the increasingly important area of modern statistical computing
Author: Tulsi Dass
Publisher: Universities Press
ISBN: 9788173710896
Category : Mathematical physics
Languages : en
Pages : 718
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Book Description
This book is intended to provide an adequate background for various theortical physics courses, especially those in classical mechanics, electrodynamics, quatum mechanics and statistical physics. Each topic is dealt with in a generally self-contained manner and the text is interspersed with a number of solved examples ad a large number of exercise problems.
