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Function Reference: raylpdf

statistics: y = raylpdf (x, sigma)

Rayleigh probability density function (PDF).

For each element of x, compute the probability density function (PDF) 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.

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

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

Source Code: raylpdf

Example: 1

  

 ## Plot various PDFs from the Rayleigh distribution
 x = 0:0.01:10;
 y1 = raylpdf (x, 0.5);
 y2 = raylpdf (x, 1);
 y3 = raylpdf (x, 2);
 y4 = raylpdf (x, 3);
 y5 = raylpdf (x, 4);
 plot (x, y1, "-b", x, y2, "g", x, y3, "-r", x, y4, "-m", x, y5, "-k")
 grid on
 ylim ([0, 1.25])
 legend ({"σ = 0,5", "σ = 1", "σ = 2", ...
          "σ = 3", "σ = 4"}, "location", "northeast")
 title ("Rayleigh PDF")
 xlabel ("values in x")
 ylabel ("density")
plotted figure