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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...
Parameter estimation for fractional Ornstein-Uhlenbeck processes
Parameter estimation fractional Ornstein-Uhlenbeck processes
2010/3/17
We study a least squares estimator bT for the Ornstein-Uhlenbeck
process, dXt = Xtdt+dBHt , driven by fractional Brownian motion BH
with Hurst parameter H 12 . We prove the strong consistence o...