کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
417673 681560 2011 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A smoothing principle for the Huber and other location M-estimators
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
A smoothing principle for the Huber and other location M-estimators
چکیده انگلیسی

A smoothing principle for M-estimators is proposed. The smoothing depends on the sample size so that the resulting smoothed M-estimator coincides with the initial M-estimator when n→∞n→∞. The smoothing principle is motivated by an analysis of the requirements in the proof of the Cramér–Rao bound. The principle can be applied to every M-estimator. A simulation study is carried out where smoothed Huber, ML-, and Bisquare M-estimators are compared with their non-smoothed counterparts and with Pitman estimators on data generated from several distributions with and without estimated scale. This leads to encouraging results for the smoothed estimators, and particularly the smoothed Huber estimator, as they improve upon the initial M-estimators particularly in the tail areas of the distributions of the estimators. The results are backed up by small sample asymptotics.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computational Statistics & Data Analysis - Volume 55, Issue 1, 1 January 2011, Pages 324–337
نویسندگان
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