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Probability, Statistical Optics, and Data Testing

Probability, Statistical Optics, and Data Testing PDF Author: Roy Frieden
Publisher: Springer Science & Business Media
ISBN: 3642566995
Category : Science
Languages : en
Pages : 496

Book Description
Scientists and engineers in optics are increasingly confronted with problems that are of a random nature and that require a working knowledge of probability and statistics for their solution. This book develops these subjects within the context of optics, using a problem-solving approach. All methods are explicitly derived and can be traced back to three simple axioms given at the outset. This third edition contains many new applications to optical and physical phenomena, including a method of exactly estimating probability laws.

Probability, Statistical Optics, and Data Testing

Probability, Statistical Optics, and Data Testing PDF Author: Roy Frieden
Publisher: Springer Science & Business Media
ISBN: 3642566995
Category : Science
Languages : en
Pages : 496

Book Description
Scientists and engineers in optics are increasingly confronted with problems that are of a random nature and that require a working knowledge of probability and statistics for their solution. This book develops these subjects within the context of optics, using a problem-solving approach. All methods are explicitly derived and can be traced back to three simple axioms given at the outset. This third edition contains many new applications to optical and physical phenomena, including a method of exactly estimating probability laws.

Probability, Statistical Optics, and Data Testing

Probability, Statistical Optics, and Data Testing PDF Author: B.Roy Frieden
Publisher: Springer Science & Business Media
ISBN: 3642972896
Category : Science
Languages : en
Pages : 459

Book Description
This new edition incorporates corrections of all known typographical errors in the first edition, as well as some more substantive changes. Chief among the latter is the addition of Chap. 17, on methods of estimation. As with the rest of the text, most applications and examples cited in the new chapter are from the optical perspective. The intention behind this new chapter is to empower the optical researcher with a yet broader range of research tools. Certainly a basic knowledge of estimation methods should be among these. In particular, the sections on likelihood theory and Fisher information prepare readers for the problems of optical parameter estimation and probability law estimation. Physicists and optical scientists might find this material particularly useful, since the subject of Fisher information is generally not covered in standard physical science curricula. Since the words "statistical optics" are prominent in the title of this book, their meaning needs to be clarified. There is a general tendency to overly emphasize the statistics of photons as the sine qua non of statistical optics. In view is taken, which equally emphasizes the random medium this text a wider that surrounds the photon, be it a photographic emulsion, the turbulent atmo sphere, a vibrating lens holder, etc. Also included are random interpretations of ostensibly deterministic phenomena, such as the Hurter-Driffield (H and D) curve of photography. Such a "random interpretation" sometimes breaks new ground, as in Chap.

Probability, Statistical Optics, and Data Testing

Probability, Statistical Optics, and Data Testing PDF Author: Roy Frieden
Publisher:
ISBN: 9783642567001
Category :
Languages : en
Pages : 524

Book Description


Probability, Statistical Optics, and Data Testing

Probability, Statistical Optics, and Data Testing PDF Author: B Roy Frieden
Publisher:
ISBN: 9783642972904
Category :
Languages : en
Pages : 464

Book Description


Probability, Statistical Optics, and Data Testing

Probability, Statistical Optics, and Data Testing PDF Author: B.R. Frieden
Publisher: Springer Science & Business Media
ISBN: 3642967329
Category : Science
Languages : en
Pages : 421

Book Description
A basic skill in probability is practically demanded nowadays in many bran ches of optics, especially in image science. On the other hand, there is no text presently available that develops probability, and its companion fields stochastic processes and statistics, from the optical perspective. [Short of a book, a chapter was recently written for this purpose; see B. R. Frieden (ed. ): The Computer in Optical Research, Topics in Applied Physics, Vol. 41 (Springer, Berlin, Heidelberg, New York 1980) Chap. 3] Most standard texts either use illustrative examples and problems from electrical engineering or from the life sciences. The present book is meant to remedy this situation, by teaching probability with the specific needs of the optical researcher in mind. Virtually all the illustrative examples and applications of the theory are from image science and other fields of optics. One might say that photons have replaced electrons in nearly all considera tions here. We hope, in this manner, to make the learning of probability a pleasant and absorbing experience for optical workers. Some of the remaining applications are from information theory, a con cept which complements image science in particular. As will be seen, there are numerous tie-ins between the two concepts. Students will be adequately prepared for the material in this book if they have had a course in calculus, and know the basics of matrix manipulation.

Probability, Statistical Optics, and Data Testing

Probability, Statistical Optics, and Data Testing PDF Author: B R Frieden
Publisher:
ISBN: 9783642967337
Category :
Languages : en
Pages : 428

Book Description


Probability, Statistical Optics, and Data Testing

Probability, Statistical Optics, and Data Testing PDF Author: B.R. Frieden
Publisher: Springer
ISBN: 9783540117698
Category : Science
Languages : en
Pages : 0

Book Description
A basic skill in probability is practically demanded nowadays in many bran ches of optics, especially in image science. On the other hand, there is no text presently available that develops probability, and its companion fields stochastic processes and statistics, from the optical perspective. [Short of a book, a chapter was recently written for this purpose; see B. R. Frieden (ed. ): The Computer in Optical Research, Topics in Applied Physics, Vol. 41 (Springer, Berlin, Heidelberg, New York 1980) Chap. 3] Most standard texts either use illustrative examples and problems from electrical engineering or from the life sciences. The present book is meant to remedy this situation, by teaching probability with the specific needs of the optical researcher in mind. Virtually all the illustrative examples and applications of the theory are from image science and other fields of optics. One might say that photons have replaced electrons in nearly all considera tions here. We hope, in this manner, to make the learning of probability a pleasant and absorbing experience for optical workers. Some of the remaining applications are from information theory, a con cept which complements image science in particular. As will be seen, there are numerous tie-ins between the two concepts. Students will be adequately prepared for the material in this book if they have had a course in calculus, and know the basics of matrix manipulation.

Statistical Data Analysis

Statistical Data Analysis PDF Author: Glen Cowan
Publisher: Clarendon Press
ISBN: 0191583340
Category :
Languages : en
Pages : 214

Book Description
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 taken from 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).

Computational Science and Its Applications - ICCSA 2006

Computational Science and Its Applications - ICCSA 2006 PDF Author: Marina Gavrilova
Publisher: Springer Science & Business Media
ISBN: 354034070X
Category : Computers
Languages : en
Pages : 1272

Book Description
The five-volume set LNCS 3980-3984 constitutes the refereed proceedings of the International Conference on Computational Science and Its Applications, ICCSA 2006, held in Glasgow, UK in May 2006.The five volumes present a total of 664 papers selected from over 2300 submissions. The papers present a wealth of original research results in the field of computational science, from foundational issues in computer science and mathematics to advanced applications in virtually all sciences making use of computational techniques. The topics of the refereed papers are structured according to the five major conference themes: computational methods, algorithms and applications high performance technical computing and networks advanced and emerging applications geometric modelling, graphics and visualization information systems and information technologies.Moreover, submissions from 31 Workshops and technical sessions in the areas, such as information security, mobile communication, grid computing, modeling, optimization, computational geometry, virtual reality, symbolic computations, molecular structures, Web systems and intelligence, spatial analysis, bioinformatics and geocomputations, contribute to this publication.

Noise Theory and Application to Physics

Noise Theory and Application to Physics PDF Author: Philippe Réfrégier
Publisher: Springer Science & Business Media
ISBN: 0387225269
Category : Science
Languages : en
Pages : 294

Book Description
This is a unique approach to noise theory and its application to physical measurements that will find its place among the graduate course books. In a very systematic way, the foundations are laid and applied in a way that the book will also be useful to those not focusing on optics. Exercises and solutions help students to deepen their knowledge.