Probability, Statistical Optics, and Data Testing

A Problem Solving Approach

Authors:

ISBN: 978-3-642-96734-4 (Print) 978-3-642-96732-0 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages I-XVII

  2. No Access

    Chapter

    Pages 1-6

    Introduction

  3. No Access

    Chapter

    Pages 7-36

    The Axiomatic Approach

  4. No Access

    Chapter

    Pages 37-69

    Continuous Random Variables

  5. No Access

    Chapter

    Pages 70-98

    Fourier Methods in Probability

  6. No Access

    Chapter

    Pages 99-133

    Functions of Random Variables

  7. No Access

    Chapter

    Pages 134-161

    Bernoulli Trials and Its Limiting Cases

  8. No Access

    Chapter

    Pages 162-176

    The Monte Carlo Calculation

  9. No Access

    Chapter

    Pages 177-232

    Stochastic Processes

  10. No Access

    Chapter

    Pages 233-263

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

  11. No Access

    Chapter

    Pages 264-293

    Estimating a Probability Law

  12. No Access

    Chapter

    Pages 294-306

    The Chi-Square Test of Significance

  13. No Access

    Chapter

    Pages 307-319

    The Student t-Test on the Mean

  14. No Access

    Chapter

    Pages 320-326

    The F-Test on Variance

  15. No Access

    Chapter

    Pages 327-349

    Least-Squares Curve Fitting — Regression Analysis

  16. No Access

    Chapter

    Pages 350-361

    Principal Components Analysis

  17. No Access

    Chapter

    Pages 363-386

    The Controversy Between Bayesians and Classicists

  18. Back Matter

    Pages 374-406