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We consider an asymptotically efficient estimator of the drift parameter for a multi-dimensional diffusion process with small dispersion parameter "ϵ". In the situation where the sample path is observed at equidistant times "k"/"n", "k" = 0, 1, …, "n", we study asymptotic properties...
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An approximate martingale estimating function with an eigenfunction is proposed for an estimation problem about an unknown drift parameter for a one-dimensional diffusion process with small perturbed parameter [epsilon] from discrete time observations at n regularly spaced time points k/n,...
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