Density of the quotient of non-negative quadratic forms in normal variables with application to the F-statistic

Autor: Van der Genugten, B. B.
Zdroj: Statistics and Computing; December 1992, Vol. 2 Issue: 4 p179-182, 4p
Abstrakt: The density of the quotient of two non-negative quadratic forms in normal variables is considered. The covariance matrix of these variables is arbitrary. The result is useful in the study of the robustness of theF-test with respect to errors of the first and second kind. An explicit expression for this density is given in the form of a proper Riemann-integral on a finite interval, suitable for numerical calculation.
Databáze: Supplemental Index