paper

On time-changed Gaussian processes and their associated Fokker-Planck-Kolmogorov equations

arXiv:1011.2473

Abstract

This paper establishes Fokker-Planck-Kolmogorov type equations for time-changed Gaussian processes. Examples include those equations for a time-changed fractional Brownian motion with time-dependent Hurst parameter and for a time-changed Ornstein-Uhlenbeck process. The time-change process considered is the inverse of either a stable subordinator or a mixture of independent stable subordinators.

13 pages

References in corpus (1)

On time-changed Gaussian processes and their associated Fokker-Planck-Kolmogorov equations · wovepaper