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A Generalization of Histogram Type Estimators

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Author Info
Pedro Delicado
Manuel del Río

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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.

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File URL: http://www.econ.upf.edu/docs/papers/downloads/422.pdf
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Publisher Info
Paper provided by Department of Economics and Business, Universitat Pompeu Fabra in its series Economics Working Papers with number 422.

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Date of creation: Oct 1999
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Handle: RePEc:upf:upfgen:422

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Web page: http://www.econ.upf.edu/

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Related research
Keywords: Convolution frequency polygon nonparametric density estimation smoothing techniques splines

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Find related papers by JEL classification:
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods

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  1. Jeffrey S. Simonoff & Frederic Udina, 1995. "Measuring the Stability of Histogram Appearance when the Anchor Position is Changed," Economics Working Papers 133, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
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