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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