Probability, Statistical Optics, and Data Testing : a Problem Solving Approach /

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 expli...

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Bibliographic Details
Main Author: Frieden, B. Roy, 1936-
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2001.
Edition:Third edition.
Series:Springer series in information sciences ; 10.
Subjects:
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Introduction
  • The Axiomatic Approach
  • Continuous Random Variables
  • Fourier Methods in Probability
  • Functions of Random Variables
  • Bernoulli Trials and Limiting Cases
  • The Monte Carlo Calculation
  • Stochastic Processes
  • Introduction to Statistical Methods: Estimating the Mean, Median, Variance, S/N, and Simple Probability
  • Estimating a Probability Law
  • The Chi-Square Test of Significance
  • 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
  • Subject Index.