Continuous Probability Dist

Student's t-Distribution

(continuous probability dist for equations)

Usage:	StudentTDist (x, ν)
Definition:	((ν+1)/2) / [sqrt(νπ) (ν/2) (1+x^2/ν)^((ν+1)/2)
Required:	ν > 0
Support:	- ∞ < x < ∞
Moments:	μ = 0 σ^2 = n / (n - 2) for ν >2 γ1= 0 for n >3 β2 = 6 / (n - 4) for n >4

The t-distribution or Student's t-distribution arises in the problem of estimating the mean of a normally distributed population when the sample size is small.

The CauchyDist (X, 0, 1) distribution is Student's t distribution with ν = 1.