Probability, Statistical Optics, and Data Testing
A Problem Solving Approach
3rd Edition
Published on 17. July 2001
Book
Paperback/Softback
XXIV, 496 pages
978-3-540-41708-8 (ISBN)
Description
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.
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.
Reviews / Votes
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)
More details
Series
Edition
Third Edition 2001
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XXIV, 496 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 29 mm
Weight
785 gr
ISBN-13
978-3-540-41708-8 (9783540417088)
DOI
10.1007/978-3-642-56699-8
Schweitzer Classification
Other editions
Previous edition
Book
03/1991
2nd Edition
Springer
€85.55
Article exhausted; check for reprint
Content
1. Introduction.- 2. 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.