Statistics: laplaceinv

### Function Reference: `laplaceinv`

statistics: x = laplaceinv (p, mu, beta)

Inverse of the Laplace cumulative distribution function (iCDF).

For each element of p, compute the quantile (the inverse of the CDF) of the Laplace distribution with location parameter mu and scale parameter (i.e. "diversity") beta. The size of x is the common size of p, 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: laplaceinv, laplacepdf, laplacernd

Source Code: laplaceinv

### Example: 1

     ## Plot various iCDFs from the Laplace distribution
     p = 0.001:0.001:0.999;
     x1 = cauchyinv (p, 0, 1);
     x2 = cauchyinv (p, 0, 2);
     x3 = cauchyinv (p, 0, 4);
     x4 = cauchyinv (p, -5, 4);
     plot (p, x1, "-b", p, x2, "-g", p, x3, "-r", p, x4, "-c")
     grid on
     ylim ([-10, 10])
     legend ({"μ = 0, β = 1", "μ = 0, β = 2", ...
              "μ = 0, β = 4", "μ = -5, β = 4"}, "location", "northwest")
     title ("Laplace iCDF")
     xlabel ("probability")
     ylabel ("values in x")