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A Berry–Esséen Bound for M-estimators
Authors:V. Bentkus,M. Bloznelis,&   F. Gö  tze
Affiliation:Bielefeld University,;Vilnius University and Institute of Mathematics and Informatics, Lithuania
Abstract:We prove a Berry–Esséen bound for general M-estimators under optimal regularity conditions on the score function and the underlying distribution. As an application we obtain Berry–Esséen bounds for the sample median, the Lp -median, p > 1 and Huber's estimator of location
Keywords:Berry–Esséen bound    Huber's estimator    maximum likelihood estimator    M-estimator    sample median
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