Function Reference: laplacepdf

statistics: y = laplacepdf (x, mu, beta)

Laplace probability density function (PDF).

For each element of x, compute the probability density function (PDF) of the Laplace distribution with location parameter mu and scale parameter (i.e. "diversity") beta. The size of y is the common size of x, mu, and beta. A scalar input functions as a constant matrix of the same size as the other inputs.

Both parameters must be reals and beta > 0. For beta <= 0, NaN is returned.

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

See also: laplacecdf, laplacepdf, laplacernd

Source Code: laplacepdf

Example: 1

  

 ## Plot various PDFs from the Laplace distribution
 x = -10:0.01:10;
 y1 = laplacepdf (x, 0, 1);
 y2 = laplacepdf (x, 0, 2);
 y3 = laplacepdf (x, 0, 4);
 y4 = laplacepdf (x, -5, 4);
 plot (x, y1, "-b", x, y2, "-g", x, y3, "-r", x, y4, "-c")
 grid on
 xlim ([-10, 10])
 ylim ([0, 0.6])
 legend ({"μ = 0, β = 1", "μ = 0, β = 2", ...
          "μ = 0, β = 4", "μ = -5, β = 4"}, "location", "northeast")
 title ("Laplace PDF")
 xlabel ("values in x")
 ylabel ("density")
plotted figure