Many noisy processes are described by Gaussian probability distributions. Let's take a look at the mathematics of that.

A new construction of the Gaussian distribution is introduced and proven. The procedure consists of using fractal interpolating functions, with graphs having increasing fractal dimensions, to ...

Gauss sums are fundamental objects in number theory. Quadratic Gauss sums were studied by Gauss, and after many attempts, Gauss gave a simple formula depending only on the argument of the Gauss sums ...

We examine the class of extended generalized inverse Gaussian (EGIG) distributions. This class of distributions, which appeared briefly in a monograph by J0rgensen (1982), is more deeply and broadly ...