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Function Reference: burrcdf

statistics: p = burrcdf (x, lambda, c, k)
statistics: p = burrcdf (x, lambda, c, k, "upper")

Burr type XII cumulative distribution function (CDF).

For each element of x, compute the cumulative distribution function (CDF) of the Burr type XII distribution with scale parameter lambda, first shape parameter c, and second shape parameter k. The size of p 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.

p = burrcdf (x, beta, gamma, "upper") computes the upper tail probability of the Birnbaum-Saunders distribution with parameters beta and gamma, at the values in x.

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

See also: burrinv, burrpdf, burrrnd, burrfit, burrlike, burrstat

Source Code: burrcdf

Example: 1

  

 ## Plot various CDFs from the Burr type XII distribution
 x = 0.001:0.001:5;
 p1 = burrcdf (x, 1, 1, 1);
 p2 = burrcdf (x, 1, 1, 2);
 p3 = burrcdf (x, 1, 1, 3);
 p4 = burrcdf (x, 1, 2, 1);
 p5 = burrcdf (x, 1, 3, 1);
 p6 = burrcdf (x, 1, 0.5, 2);
 plot (x, p1, "-b", x, p2, "-g", x, p3, "-r", ...
       x, p4, "-c", x, p5, "-m", x, p6, "-k")
 grid on
 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", "southeast")
 title ("Burr type XII CDF")
 xlabel ("values in x")
 ylabel ("probability")
plotted figure