Probability, Statistical Optics, and Data Testing
A Problem Solving Approach
(Sprache: Englisch)
Scientists 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 textbook develops these subjects within the context of optics using a...
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Klappentext zu „Probability, Statistical Optics, and Data Testing “
Scientists 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 textbook 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. Students with some previous exposure to Fourier optics or linear theory will find the material particularly absorbing and easy to understand.This third edition contains many new applications to optical and physical phenomena. This includes a method of estimating probability laws exactly, by regarding them as laws of physics to be determined using a new variational principle.
Inhaltsverzeichnis zu „Probability, Statistical Optics, and Data Testing “
1. Introduction2. The Axiomatic Approach
3. Continuous Random Variables
4. Fourier Methods in Probability
5. Functions of Random Variables
6. Bernoulli Trials and Limiting Cases
7. The Monte Carlo Calculation
8. Stochastic Processes
9. Introduction to Statistical Methods: Estimating the Mean, Median, Variance, S/N, and Simple Probability
10. Introduction to Estimating Probability Laws
11. The Chi-Square Test of Significance
12. The Student t-Test on the Mean
13. The F-Test on Variance
14. Least-Squares Curve Fitting - Regression Analysis
15. Principal Components Analysis
16. The Controversy Between Bayesians and Classicists
17. Introduction to Estimation Methods
- Appendix A
- Appendix B
- Appendix C
- Appendix D
- Appendix E
- Appendix F
- Appendix G
- References
Autoren-Porträt von Roy Frieden
Professor Emeritus - B. Roy Frieden: B.S., M.S., Ph.D., Professor of Optical Sciences, Univ. of Arizona.
Bibliographische Angaben
- Autor: Roy Frieden
- 2001, 3rd ed., XXIV, 496 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3540417087
- ISBN-13: 9783540417088
- Erscheinungsdatum: 17.07.2001
Sprache:
Englisch
Rezension zu „Probability, Statistical Optics, and Data Testing “
From the reviews of the third edition:
Pressezitat
From the reviews of the third edition: "Scientists 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 solutions. This textbook develops these subjects within the context of optics using a problem-solving approach. ... The book is exclusively wealthy in contents. The author generously shares his reflections and assumptions with the reader and puts the unsolved problems yet, what makes this book an especially interesting one." (Dmitry Ostrouchov, Zentralblatt MATH, Vol. 978, 2002)
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