Probability And Statistics In Experimental Physics

Author : Byron P. Roe
Publisher : Springer Science & Business Media
Page : 219 pages
File Size : 54,8 Mb
Release : 2013-03-09
Category : Science
ISBN : 9781475721867

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Probability and Statistics in Experimental Physics by Byron P. Roe Pdf

A practical introduction to the use of probability and statistics in experimental physics for graduate students and advanced undergraduates. Intended as a practical guide, and not as a comprehensive text, the emphasis is on applications and understanding, on theorems and techniques that are actually used in experimental physics. Proofs of theorems are generally omitted unless they contribute to the intuition in understanding and applying the theorem. The problems, many with worked solutions, introduce the student to the use of computers; occasional reference is made to some of the Fortran routines available in the CERN library, but other systems, such as Maple, will also be useful.

Author : Frederick James
Publisher : World Scientific
Page : 366 pages
File Size : 54,5 Mb
Release : 2006
Category : Science
ISBN : 9789812567956

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Statistical Methods in Experimental Physics by Frederick James Pdf

The first edition of this classic book has become the authoritative reference for physicists desiring to master the finer points of statistical data analysis. This second edition contains all the important material of the first, much of it unavailable from any other sources. In addition, many chapters have been updated with considerable new material, especially in areas concerning the theory and practice of confidence intervals, including the important Feldman-Cousins method. Both frequentist and Bayesian methodologies are presented, with a strong emphasis on techniques useful to physicists and other scientists in the interpretation of experimental data and comparison with scientific theories. This is a valuable textbook for advanced graduate students in the physical sciences as well as a reference for active researchers.

Author : W. T. Eadie
Publisher : North-Holland
Page : 316 pages
File Size : 55,7 Mb
Release : 1971
Category : Mathematics
ISBN : UOM:39015018332182

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Statistical Methods in Experimental Physics by W. T. Eadie Pdf

Author : Anonim
Publisher : Academic Press
Page : 563 pages
File Size : 50,9 Mb
Release : 1994-12-13
Category : Science
ISBN : 9780080860169

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Statistical Methods for Physical Science by Anonim Pdf

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 : Byron P. Roe
Publisher : Unknown
Page : 0 pages
File Size : 45,8 Mb
Release : 2020
Category : Mathematical physics
ISBN : 8303053698

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Probability and Statistics in the Physical Sciences by Byron P. Roe Pdf

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 : Byron P. Roe
Publisher : Springer Nature
Page : 285 pages
File Size : 53,7 Mb
Release : 2020-09-26
Category : Science
ISBN : 9783030536947

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Probability and Statistics in the Physical Sciences by Byron P. Roe Pdf

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 : Carlos Maña
Publisher : Springer
Page : 244 pages
File Size : 44,8 Mb
Release : 2017-04-21
Category : Science
ISBN : 9783319557380

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Probability and Statistics for Particle Physics by Carlos Maña Pdf

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 : Luca Lista
Publisher : Springer
Page : 257 pages
File Size : 43,7 Mb
Release : 2017-10-13
Category : Science
ISBN : 9783319628400

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Statistical Methods for Data Analysis in Particle Physics by Luca Lista Pdf

This concise set of course-based notes provides the reader with the main concepts and tools needed to perform statistical analyses of experimental data, in particular in the field of high-energy physics (HEP). First, the book provides an introduction to probability theory and basic statistics, mainly intended as a refresher from readers’ advanced undergraduate studies, but also to help them clearly distinguish between the Frequentist and Bayesian approaches and interpretations in subsequent applications. More advanced concepts and applications are gradually introduced, culminating in the chapter on both discoveries and upper limits, as many applications in HEP concern hypothesis testing, where the main goal is often to provide better and better limits so as to eventually be able to distinguish between competing hypotheses, or to rule out some of them altogether. Many worked-out examples will help newcomers to the field and graduate students alike understand the pitfalls involved in applying theoretical concepts to actual data. This new second edition significantly expands on the original material, with more background content (e.g. the Markov Chain Monte Carlo method, best linear unbiased estimator), applications (unfolding and regularization procedures, control regions and simultaneous fits, machine learning concepts) and examples (e.g. look-elsewhere effect calculation).

Author : A. G. Frodesen,O. Skjeggestad,H. Tøfte
Publisher : Unknown
Page : 556 pages
File Size : 49,8 Mb
Release : 1979
Category : Mathematics
ISBN : UOM:39015022064128

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Probability and Statistics in Particle Physics by A. G. Frodesen,O. Skjeggestad,H. Tøfte Pdf

Author : Yemima Ben-Menahem,Meir Hemmo
Publisher : Springer Science & Business Media
Page : 325 pages
File Size : 51,8 Mb
Release : 2012-01-25
Category : Science
ISBN : 9783642213281

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Probability in Physics by Yemima Ben-Menahem,Meir Hemmo Pdf

What is the role and meaning of probability in physical theory, in particular in two of the most successful theories of our age, quantum physics and statistical mechanics? Laws once conceived as universal and deterministic, such as Newton‘s laws of motion, or the second law of thermodynamics, are replaced in these theories by inherently probabilistic laws. This collection of essays by some of the world‘s foremost experts presents an in-depth analysis of the meaning of probability in contemporary physics. Among the questions addressed are: How are probabilities defined? Are they objective or subjective? What is their explanatory value? What are the differences between quantum and classical probabilities? The result is an informative and thought-provoking book for the scientifically inquisitive.

Author : Glen Cowan
Publisher : Oxford University Press
Page : 218 pages
File Size : 46,8 Mb
Release : 1998
Category : Mathematics
ISBN : 9780198501565

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Statistical Data Analysis by Glen Cowan Pdf

This book is a guide to the practical application of statistics in data analysis as typically encountered in the physical sciences. It is primarily addressed at students and professionals who need to draw quantitative conclusions from experimental data. Although most of the examples are takenfrom particle physics, the material is presented in a sufficiently general way as to be useful to people from most branches of the physical sciences. The first part of the book describes the basic tools of data analysis: concepts of probability and random variables, Monte Carlo techniques,statistical tests, and methods of parameter estimation. The last three chapters are somewhat more specialized than those preceding, covering interval estimation, characteristic functions, and the problem of correcting distributions for the effects of measurement errors (unfolding).

Author : Otto J.W.F. Kardaun
Publisher : Springer Science & Business Media
Page : 416 pages
File Size : 49,5 Mb
Release : 2005-09-16
Category : Science
ISBN : 3540211152

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Classical Methods of Statistics by Otto J.W.F. Kardaun Pdf

Classical Methods of Statistics is a guidebook combining theory and practical methods. It is especially conceived for graduate students and scientists who are interested in the applications of statistical methods to plasma physics. Thus it provides also concise information on experimental aspects of fusion-oriented plasma physics. In view of the first three basic chapters it can be fruitfully used by students majoring in probability theory and statistics. The first part deals with the mathematical foundation and framework of the subject. Some attention is given to the historical background. Exercises are added to help readers understand the underlying concepts. In the second part, two major case studies are presented which exemplify the areas of discriminant analysis and multivariate profile analysis, respectively. To introduce these case studies, an outline is provided of the context of magnetic plasma fusion research. In the third part an overview is given of statistical software; separate attention is devoted to SAS and S-PLUS. The final chapter presents several datasets and gives a description of their physical setting. Most of these datasets were assembled at the ASDEX Upgrade Tokamak. All of them are accompanied by exercises in form of guided (minor) case studies. The book concludes with translations of key concepts into several languages.

Author : Y. M. Guttmann
Publisher : Cambridge University Press
Page : 283 pages
File Size : 55,6 Mb
Release : 1999-07-13
Category : Mathematics
ISBN : 9780521621281

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The Concept of Probability in Statistical Physics by Y. M. Guttmann Pdf

A most systematic study of how to interpret probabilistic assertions in the context of statistical mechanics.

Author : Edwin T. Jaynes
Publisher : Springer Science & Business Media
Page : 468 pages
File Size : 41,8 Mb
Release : 1989-04-30
Category : Mathematics
ISBN : 0792302133

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E.T. Jaynes by Edwin T. Jaynes Pdf

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
Page : 457 pages
File Size : 46,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400965812

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E. T. Jaynes: Papers on Probability, Statistics and Statistical Physics by R.D. Rosenkrantz Pdf

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.