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

Professor B. Roy Frieden Ph. D. (auth.)3540533109, 9783540533108

Table of contents :
Front Matter….Pages I-XVII
Introduction….Pages 1-6
The Axiomatic Approach….Pages 7-36
Continuous Random Variables….Pages 37-69
Fourier Methods in Probability….Pages 70-98
Functions of Random Variables….Pages 99-133
Bernoulli Trials and Its Limiting Cases….Pages 134-161
The Monte Carlo Calculation….Pages 162-176
Stochastic Processes….Pages 177-232
Introduction to Statistical Methods: Estimating the Mean, Median, Variance, S/N, and Simple Probability….Pages 233-263
Estimating a Probability Law….Pages 264-293
The Chi-Square Test of Significance….Pages 294-306
The Student t -Test on the Mean….Pages 307-319
The F -Test on Variance….Pages 320-326
Least-Squares Curve Fitting — Regression Analysis….Pages 327-349
Principal Components Analysis….Pages 350-361
The Controversy Between Bayesians and Classicists….Pages 363-386
Back Matter….Pages 374-406