  We consider the problem of optimal estimation of the value of a vector
parameter $\thetavector=(\theta_0,\ldots,\theta_n)^{\top}$ of the drift term in
a 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 maximum
likelihood estimate as well as Bayesian estimates for normal and uniform a
priori distributions.
