The t-distribution arises in statistics. If \(Y_1\) has a normal distribution and \(Y_2\) has a chi-squared distribution with \(\nu\) degrees of freedom then the ratio,
has a t-distribution \(t(x;\nu)\) with \(\nu\) degrees of freedom.
This function returns a random variate from the t-distribution. The distribution function is,
for \(-\infty < x < +\infty\).
This function computes the probability density \(p(x)\) at \(x\) for a t-distribution with nu degrees of freedom, using the formula given above.
These functions compute the cumulative distribution functions \(P(x), Q(x)\) and their inverses for the t-distribution with nu degrees of freedom.