Article ID Journal Published Year Pages File Type
10527384 Stochastic Processes and their Applications 2005 12 Pages PDF
Abstract
We extend the domain of the divergence operator δ for Gaussian processes in the sense of the calculus of variations. As an example, we discuss the case of the fractional Brownian motion with Hurst parameter in (0,12) defined on a finite time interval. If H<14 this process does not belong to the domain of δ, but it is in the extended domain.
Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
Authors
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