spectral representation

Comparative Analysis of Simulation Methods of the fractional Brownian motion

This paper analyzes the statistical simulation  algorithms of generalized Wiener process and increases of the generalized Wiener process. Models built with specified accuracy and reliability in space L2(T).  To build statistical models we use various spectral representation of random processes – namely in the  series and as integrals.

The advantages and disadvantages of each representations was compared.