Under the assumption that the distribution function of the observation noise is known, both for the case of a predefined observation design and the case where observation designing is possible, we construct estimates of smooth functionals of the regression function, for which lower bounds on mean-square risks of arbitrary estimates of smooth functionals obtained in [1, 2] are asymptotically attained.
Problems of Information Transmission – Springer Journals
Published: Feb 26, 2005
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