Probability, Statistical Optics, and Data Testing

A Problem Solving Approach

Authors:

ISBN: 978-3-540-41708-8 (Print) 978-3-642-56699-8 (Online)

Table of contents (17 chapters)

  1. Front Matter

    Pages I-XXIV

  2. No Access

    Chapter

    Pages 1-6

    Introduction

  3. No Access

    Chapter

    Pages 7-37

    The Axiomatic Approach

  4. No Access

    Chapter

    Pages 39-77

    Continuous Random Variables

  5. No Access

    Chapter

    Pages 79-106

    Fourier Methods in Probability

  6. No Access

    Chapter

    Pages 107-146

    Functions of Random Variables

  7. No Access

    Chapter

    Pages 147-173

    Bernoulli Trials and Limiting Cases

  8. No Access

    Chapter

    Pages 175-190

    The Monte Carlo Calculation

  9. No Access

    Chapter

    Pages 191-242

    Stochastic Processes

  10. No Access

    Chapter

    Pages 243-276

    Introduction to Statistical Methods: Estimating the Mean, Median, Variance, S/N, and Simple Probability

  11. No Access

    Chapter

    Pages 277-305

    Introduction to Estimating Probability Laws

  12. No Access

    Chapter

    Pages 307-320

    The Chi-Square Test of Significance

  13. No Access

    Chapter

    Pages 321-331

    The Student t-Test on the Mean

  14. No Access

    Chapter

    Pages 333-339

    The F-Test on Variance

  15. No Access

    Chapter

    Pages 341-361

    Least-Squares Curve Fitting — Regression Analysis

  16. No Access

    Chapter

    Pages 363-374

    Principal Components Analysis

  17. No Access

    Chapter

    Pages 375-386

    The Controversy Between Bayesians and Classicists

  18. No Access

    Chapter

    Pages 387-450

    Introduction to Estimation Methods

  19. Back Matter

    Pages 451-493