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arXiv 2010-11-10 0 views

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

Hahn, Marjorie G. · Kobayashi, Kei · Ryvkina, Jelena · Umarov, Sabir

Original · EN

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.

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