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On drift parameter estimation for reflected fractional Ornstein-Uhlenbeck processes
Reflected fractional Ornstein-Uhlenbeck processes fractional Brownian motion frac-tional calculus parameter estimation maximum likelihood estimator sequential maximum likeli-hood estimator
2013/4/28
We consider a reflected Ornstein-Uhlenbeck process driven by a fractional Brownian motion with Hurst parameter $H\in(0,1)$. Our goal is to estimate an unknown drift parameter $\alpha\in (-\infty,\inft...
Equidistant sampling for the maximum of a Brownian motion with drift on a finite horizon
Brownian motion finite horizon
2009/4/22
A Brownian motion observed at equidistant sampling points renders a random walk with normally distributed increments. For the difference between the expected maximum of the Brownian mo- tion and its s...