Probability, statistical optics, and data testing : a problem solving approach
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Bibliographic Information
Probability, statistical optics, and data testing : a problem solving approach
（Springer series in information sciences, 10）
Springer-Verlag, c2001
3rd ed.
- : gw
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Bibliographical references: p. [469]-477
Includes index
Description and Table of Contents
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.
Table of Contents
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.
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