Gaussian and Hermite Ornstein-Uhlenbeck processes

Abstract

In the present paper we study the asymptotic behavior of the auto-covariance function for Ornstein-Uhlenbeck (OU) processes driven by Gaussian noises with stationary and non-stationary increments and for Hermite OU processes. Our results are generalizations of the corresponding results of Cheridito et al. CKM and Kaarakka and Salminen KS.

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