Statistics: raylcdf

### Function Reference: `raylcdf`

statistics: p = raylcdf (x, sigma)
statistics: p = raylcdf (x, sigma, `"upper"`)

Rayleigh cumulative distribution function (CDF).

For each element of x, compute the cumulative distribution function (CDF) of the Rayleigh distribution with scale parameter sigma. The size of p is the common size of x and sigma. A scalar input functions as a constant matrix of the same size as the other inputs.

`p = raylcdf (x, sigma, "upper")` computes the upper tail probability of the Rayleigh distribution with parameter sigma, at the values in x.

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

See also: raylinv, raylpdf, raylrnd, raylfit, rayllike, raylstat

Source Code: raylcdf

### Example: 1

     ## Plot various CDFs from the Rayleigh distribution
     x = 0:0.01:10;
     p1 = raylcdf (x, 0.5);
     p2 = raylcdf (x, 1);
     p3 = raylcdf (x, 2);
     p4 = raylcdf (x, 3);
     p5 = raylcdf (x, 4);
     plot (x, p1, "-b", x, p2, "g", x, p3, "-r", x, p4, "-m", x, p5, "-k")
     grid on
     ylim ([0, 1])
     legend ({"σ = 0.5", "σ = 1", "σ = 2", ...
              "σ = 3", "σ = 4"}, "location", "southeast")
     title ("Rayleigh CDF")
     xlabel ("values in x")
     ylabel ("probability")