Student's t inverse cumulative distribution function
x = tinv(p,nu)
x = tinv(p,nu) returns the inverse of Student's t cdf using the degrees of freedom in nu for the corresponding probabilities in p. p and nu can be vectors, matrices, or multidimensional arrays that are the same size. A scalar input is expanded to a constant array with the same dimensions as the other inputs. The values in p must lie on the interval [0 1].
The t inverse function in terms of the t cdf is
The result, x, is the solution of the cdf integral with parameter ν, where you supply the desired probability p.