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We consider the problem of optimal estimation of the value of a vectorparameter $\thetavector=(\theta_0,\ldots,\theta_n)^{\top}$ of the drift term ina fractional Brownian motion represented by the finite sum$\sum_{i=0}^{n}\theta_{i}\varphi_{i}(t)$ over known functions $\varphi_i(t)$,$\alli$. For the value of parameter $\thetavector$, we obtain a maximumlikelihood estimate as well as Bayesian estimates for normal and uniform apriori distributions.

Optimal estimation of a signal perturbed by a fractional Brownian noise