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A truncated sequential procedure is constructed for estimating the driftcoefficient at a given state point based on discrete data of ergodic diffusionprocess. A nonasymptotic upper bound is obtained for a pointwise absolute errorrisk. The optimal convergence rate and a sharp constant in the bounds are foundfor the asymptotic pointwise minimax risk. As a consequence, the efficiency isobtained of the proposed sequential procedure.

Efficient pointwise estimation based on discrete data in ergodic nonparametric diffusions