An elementary approach to a Girsanov formula and other analytical results on fractional Brownian motions
The Radon-Nikodym derivative between a centred fractional Brownian motion \(Z\) and the same process with constant drift is derived by finding an integral transformation which changes \(Z\) to a process with independent increments. A representation of \(Z\) through a standard Brownian motion on a finite interval is given. The maximum-likelihood estimator of the drift and some other applications are presented.
scientific article; zbMATH DE number 1348244