Infinite-sample consistent estimations of parameters of the Wiener process with drift

We consider the Wiener process with drift $dX_t=\mu dt +\sigma d W_t$ with initial value problem $X_0=x_0$, where $x_0 \in R$, $ \mu \in R$ and $\sigma > 0$ are parameters. By use values $(z_k)_{k \in N}$ of corresponding trajectories at a fixed positive moment $t$, the infinite-sample consistent estimates of each unknown parameter of the Wiener process with drift are constructed under assumption that all another parameters are known.