Statistics: burrpdf

### Function Reference: `burrpdf`

statistics: y = burrpdf (x, lambda, c, k)

Burr type XII probability density function (PDF).

For each element of x, compute the probability density function (PDF) of the Burr type XII distribution with with scale parameter lambda, first shape parameter c, and second shape parameter k. The size of y is the common size of x, lambda, c, and k. A scalar input functions as a constant matrix of the same size as the other inputs.

Further information about the Burr distribution can be found at https://en.wikipedia.org/wiki/Burr_distribution

See also: burrcdf, burrinv, burrrnd, burrfit, burrlike

Source Code: burrpdf

### Example: 1

     ## Plot various PDFs from the Burr type XII distribution
     x = 0.001:0.001:3;
     y1 = burrpdf (x, 1, 1, 1);
     y2 = burrpdf (x, 1, 1, 2);
     y3 = burrpdf (x, 1, 1, 3);
     y4 = burrpdf (x, 1, 2, 1);
     y5 = burrpdf (x, 1, 3, 1);
     y6 = burrpdf (x, 1, 0.5, 2);
     plot (x, y1, "-b", x, y2, "-g", x, y3, "-r", ...
           x, y4, "-c", x, y5, "-m", x, y6, "-k")
     grid on
     ylim ([0, 2])
     legend ({"λ = 1, c = 1, k = 1", "λ = 1, c = 1, k = 2", ...
              "λ = 1, c = 1, k = 3", "λ = 1, c = 2, k = 1", ...
              "λ = 1, c = 3, k = 1", "λ = 1, c = 0.5, k = 2"}, ...
             "location", "northeast")
     title ("Burr type XII PDF")
     xlabel ("values in x")
     ylabel ("density")