ThmDex – An index of mathematical definitions, results, and conjectures.
F11512
Formulation 2
Let $X \in \text{ChiSquared}(N)$ and $Y \in \text{ChiSquared}(M)$ each be a D212: Chi-squared random unsigned real number such that
(i) $X, Y$ is an D2713: Independent random collection
A D5452: Random unsigned real number $Z \in \text{Random} [0, \infty)$ is a Fisher random unsigned real number with parameters $N$ and $M$ if and only if \begin{equation} Z \overset{d}{=} \frac{M}{N} \frac{X}{Y} \end{equation}