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Title:	A generalization of histogram type estimators
Author:	Delicado, Pedro; del Río, Manuel
Other authors:	Universitat Pompeu Fabra. Departament d'Economia i Empresa
Abstract:	We introduce simple nonparametric density estimators that generalize the classical histogram and frequency polygon. The new estimators are expressed as linear combination of density functions that are piecewise polynomials, where the coefficients are optimally chosen in order to minimize the integrated square error of the estimator. We establish the asymptotic behaviour of the proposed estimators, and study their performance in a simulation study.
Subject(s):	-convolution -frequency polygon -nonparametric density estimation -smoothing techniques -splines -Statistics, Econometrics and Quantitative Methods
Rights:	L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Working Paper
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