The F-distribution arises in statistics. If \(Y_1\) and \(Y_2\) are chi-squared deviates with \(\nu_1\) and \(\nu_2\) degrees of freedom then the ratio,
has an F-distribution \(F(x;\nu_1,\nu_2)\).
This function returns a random variate from the F-distribution with degrees of freedom nu1 and nu2. The distribution function is,
for \(x \geq 0\).
This function computes the probability density \(p(x)\) at \(x\) for an F-distribution with nu1 and nu2 degrees of freedom, using the formula given above.
These functions compute the cumulative distribution functions \(P(x), Q(x)\) and their inverses for the F-distribution with nu1 and nu2 degrees of freedom.