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A generalization of histogram type estimators
Delicado, Pedro; del Río, Manuel
Universitat Pompeu Fabra. Departament d'Economia i Empresa
We introduce simple nonparametric density estimators that generalize theclassical histogram and frequency polygon. The new estimators are expressed as linear combination of density functions that are piecewisepolynomials, 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 theirperformance in a simulation study.
2005-09-15
Statistics, Econometrics and Quantitative Methods
convolution
frequency polygon
nonparametric density estimation
smoothing techniques
splines
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