학술논문

Advanced Topics
Document Type
Chapter
Author
Witkov, Carey, author; Zengel, Keith, author
Source
Chi-Squared Data Analysis and Model Testing for Beginners, 2019, ill.
Subject
degrees of freedom
maximum likelihood
nonlinear model
Poisson distribution
probability density
reduced chi-square
p-value
Astronomy and Astrophysics
Mathematical and Statistical Physics
Computational Physics
Language
English
Abstract
A variety of advanced topics are introduced to offer greater challenge for beginners and to answer thorny questions often asked by early researchers who are just starting to use chi-squared analysis. Topics covered include probability density functions, p-values, the derivation of the chi-squared probability density function and its uses, reduced chi-squared, the Poisson distribution, and advanced techniques for maximum likelihood estimation in cases where uncertainties are not Gaussian or the model is nonlinear. Problems are included (with solutions in an appendix).

Online Access