Probability, Statistical Optics, and Data Testing A Problem Solving Approach

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 chap...

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Bibliographic Details
Main Author: Frieden, B.Roy
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1991, 1991
Edition:2nd ed. 1991
Series:Springer Series in Information Sciences
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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. Estimating a Probability Law
  • 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. Error Function and Its Derivative
  • Appendix E. A Crib Sheet of Statistical Parameters and Their Errors
  • Appendix F. Synopsis of Statistical Tests
  • References