All sorts of physical processes in this analog world exhibit some degree of randomness. Think of noise, for example. Many noisy processes are described by Gaussian probability distributions. We should ...

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 ...

Statistics uses small samples to predict how phenomena behave in the real world. Many management tools with the aim of maximizing efficiency (ex: Six Sigma) attempt to decrease variances using a ...

A spectral representation-based simulation methodology is proposed to generate sample functions of a multi-variate, multi-dimensional, non-Gaussian stochastic vector field, according to a prescribed ...