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Particular Performance Between the Fuzzy Set and Adaptive Kernel Estimators of the Density Function

Jesús A. Fajardo

Abstract



In this paper we propose a criterion to obtain a reduction of the asymptotic mean integrated square error of the fuzzy set estimator regarding the asymptotic mean integrated square error of the adaptive kernel estimator for all order-p kernels. This reduction shows that the fuzzy set estimator has better performance than the adaptive kernel estimators, which is an immediate consequence of Abramson’s choice.

Keywords


Fuzzy Set Estimator, Adaptive Kernel Estimator.

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