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

✍ Scribed by Professor B. Roy Frieden Ph. D. (auth.)

• Publisher: Springer Berlin Heidelberg
• Year: 1983
• Tongue: English
• Leaves: 420
• Series: Springer Series in Information Sciences 10
• Category: Library

✦ 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

✦ Subjects

Optics and Electrodynamics;Mathematical Methods in Physics;Numerical and Computational Physics;Statistical Physics, Dynamical Systems and Complexity