Probability, statistical optics, and data testing

B.R. Frieden

490 pages, parution le 15/06/2001

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Résumé

Scientists in optics are increasingly confronted with problems that are of a random nature and that require a working knowledge of probability and statistics for their solution. This textbook develops these subjects within the context of optics using a problem-solving approach. All methods are explicitly derived and can be traced back to three simple axioms given at the outset. Students with some previous exposure to Fourier optics or linear theory will find the material particularly absorbing and easy to understand. This third edition contains many new applications to optical and physical phenomena. This includes a method of estimating probability laws exactly, by regarding them as laws of physics to be determined using a new variational principle.

Contents

Introduction
The axiomatic approach
Continuous random variables
Fourier methods in probability
Functions of random variables
Bernoulli trials limiting cases
The monte carlo calculation
Stochastic processes
Introduction to statistical methods : Estimating the mean, Median, Variance, S/N, and simple probability
Introduction to estimating probability laws
The chi-square test of signifiance
The student t-Test on the mean
The F-test on variance
Least-Squares curve fitting - Regression analysis
Principal components analysis
The controversy between bayesians and classicists
Introduction to estimation methods
Appendix
References
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	B.R. Frieden
Parution	15/06/2001
Nb. de pages	490
Format	15,5 x 23,5
Couverture	Broché
Poids	725g
Intérieur	Noir et Blanc
EAN13	9783540417088