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

Jesús A. Fajardo


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.


Fuzzy Set Estimator, Adaptive Kernel Estimator.

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