The Noncentral Chi-Squared Distribution with Zero Degrees of Freedom and Testing for Uniformity.
Abstract
The noncentral chi-squared distribution with zero degrees of freedom is defined as a Poisson mixture of mass at zero together with chi-squared distributions that have even degrees of freedom. Their name is justified by the decomposition of the classical noncentral chi-squared distributions as the sum of a central chi-squared component having the full number of degrees of freedom and an independent noncentral chi-squared component having zero degrees of freedom. The basic properties of this one-parameter family of distributions are given, and they are shown to be useful in the computation of approximate critical values of a test for uniformity. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1978
- Accession Number
- ADA068849
Entities
People
- Andrew F. Siegel
Organizations
- University of Wisconsin–Madison