Statistics: tlscdf

### Function Reference: `tlscdf`

statistics: p = tlscdf (x, mu, sigma, df)
statistics: p = tlscdf (x, mu, sigma, df, `"upper"`)

Location-scale Student’s T cumulative distribution function (CDF).

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

`p = tlscdf (x, mu, sigma, df, "upper")` computes the upper tail probability of the location-scale Student’s T distribution with parameters mu, sigma, and df, at the values in x.

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: tlsinv, tlspdf, tlsrnd, tlsfit, tlslike, tlsstat

Source Code: tlscdf

### Example: 1

     ## Plot various CDFs from the location-scale Student's T distribution
     x = -8:0.01:8;
     p1 = tlscdf (x, 0, 1, 1);
     p2 = tlscdf (x, 0, 2, 2);
     p3 = tlscdf (x, 3, 2, 5);
     p4 = tlscdf (x, -1, 3, Inf);
     plot (x, p1, "-b", x, p2, "-g", x, p3, "-r", x, p4, "-m")
     grid on
     xlim ([-8, 8])
     ylim ([0, 1])
     legend ({"mu = 0, sigma = 1, df = 1", "mu = 0, sigma = 2, df = 2", ...
              "mu = 3, sigma = 2, df = 5", 'mu = -1, sigma = 3, df = \infty'}, ...
             "location", "northwest")
     title ("Location-scale Student's T CDF")
     xlabel ("values in x")
     ylabel ("probability")