کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1154083 958370 2006 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Rates of convergence of an adaptive kernel density estimator for finite mixture models
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آمار و احتمال
پیش نمایش صفحه اول مقاله
Rates of convergence of an adaptive kernel density estimator for finite mixture models
چکیده انگلیسی

Kernel smoothing methods are widely used in many areas of statistics with great success. In particular, minimum distance procedures heavily depend on kernel density estimators. It has been argued that when estimating mixture parameters in finite mixture models, adaptive kernel density estimators are preferable over nonadaptive kernel density estimators. Cutler and Cordero-Braña [1996, J. Amer. Statist. Assoc. 91, 1716–1721] introduced such an adaptive kernel density estimator for the minimum Hellinger distance estimation in finite mixture models. In this paper, we investigate the convergence properties of a practical version of their adaptive estimator under some regularity conditions, and compare them with those of a nonadaptive estimator. The rates of convergence of the bias and variance of the proposed estimator are established.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Statistics & Probability Letters - Volume 76, Issue 3, 1 February 2006, Pages 221–230
نویسندگان
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