### Function Reference: `tlsinv`

statistics: x = tlsinv (p, mu, sigma, nu)

Inverse of the location-scale Student’s T cumulative distribution function (iCDF).

For each element of p, compute the quantile (the inverse of the CDF) of the location-scale Student’s T distribution with location parameter mu, scale parameter sigma, and nu degrees of freedom. The size of x is the common size of p, mu, sigma, and nu. A scalar input functions as a constant matrix of the same size as the other inputs.

Further information about the location-scale Student’s T distribution can be found at https://en.wikipedia.org/wiki/Student%27s_t-distribution#Location-scale_t_distribution

See also: tlscdf, tlspdf, tlsrnd, tlsfit, tlslike, tlsstat

Source Code: tlsinv

### Example: 1

     ## Plot various iCDFs from the location-scale Student's T distribution
     p = 0.001:0.001:0.999;
     x1 = tlsinv (p, 0, 1, 1);
     x2 = tlsinv (p, 0, 2, 2);
     x3 = tlsinv (p, 3, 2, 5);
     x4 = tlsinv (p, -1, 3, Inf);
     plot (p, x1, "-b", p, x2, "-g", p, x3, "-r", p, x4, "-m")
     grid on
     xlim ([0, 1])
     ylim ([-8, 8])
     legend ({"mu = 0, sigma = 1, nu = 1", "mu = 0, sigma = 2, nu = 2", ...
              "mu = 3, sigma = 2, nu = 5", 'mu = -1, sigma = 3, nu = \infty'}, ...
             "location", "southeast")
     title ("Location-scale Student's T iCDF")
     xlabel ("probability")
     ylabel ("values in x")