Function Reference: tlspdf

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

Location-scale Student’s T probability density function (PDF).

For each element of x, compute the probability density function (PDF) of the location-scale Student’s T distribution with location parameter mu, scale parameter sigma, and nu degrees of freedom. The size of y is the common size of x, 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, tlsinv, tlsrnd, tlsfit, tlslike, tlsstat

Source Code: tlspdf

Example: 1

  

 ## Plot various PDFs from the Student's T distribution
 x = -8:0.01:8;
 y1 = tlspdf (x, 0, 1, 1);
 y2 = tlspdf (x, 0, 2, 2);
 y3 = tlspdf (x, 3, 2, 5);
 y4 = tlspdf (x, -1, 3, Inf);
 plot (x, y1, "-b", x, y2, "-g", x, y3, "-r", x, y4, "-m")
 grid on
 xlim ([-8, 8])
 ylim ([0, 0.41])
 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", "northwest")
 title ("Location-scale Student's T PDF")
 xlabel ("values in x")
 ylabel ("density")
plotted figure