Statistics: burrinv

### Function Reference: `burrinv`

statistics: x = burrinv (p, lambda, c, k)

Inverse of the Burr type XII cumulative distribution function (iCDF).

For each element of p, compute the quantile (the inverse of the CDF) of the Burr type XII distribution with scale parameter lambda, first shape parameter c, and second shape parameter k. The size of x is the common size of p, 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, burrpdf, burrrnd, burrfit, burrlike

Source Code: burrinv

### Example: 1

     ## Plot various iCDFs from the Burr type XII distribution
     p = 0.001:0.001:0.999;
     x1 = burrinv (p, 1, 1, 1);
     x2 = burrinv (p, 1, 1, 2);
     x3 = burrinv (p, 1, 1, 3);
     x4 = burrinv (p, 1, 2, 1);
     x5 = burrinv (p, 1, 3, 1);
     x6 = burrinv (p, 1, 0.5, 2);
     plot (p, x1, "-b", p, x2, "-g", p, x3, "-r", ...
           p, x4, "-c", p, x5, "-m", p, x6, "-k")
     grid on
     ylim ([0, 5])
     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", "northwest")
     title ("Burr type XII iCDF")
     xlabel ("probability")
     ylabel ("values in x")