The following functions return numbers from pseudo-random distributions of the specified shapes and parameters. Except for enoise and gnoise where you have an option to select a random number generator, the remaining noise functions use a Mersenne Twister algorithm for the initial uniform pseudo-random distribution. Note that whenever you need repeatable results you should use SetRandomSeed prior to executing any of the noise functions.

Built-in noise functions and distributions

You can easily verify that the various noise functions indeed generate the desired distribution. For example, suppose you generated 10000 data points from a Gamma distribution as in:

To fit this to a gamma distribution we write the following user function:

To determine the initial guesses for the fitting coefficients we note that the average of noiseWave is 19.8681. This average should be equal to the product a*b of the two parameters of the gamma distribution. Our guess is therefore a=b=sqrt(19.8)

The resulting fit to a Gamma distribution is drawn below in blue plotted over the calculated distribution (red).