Imprecise Estimation of The Probability Density FunctionReport as inadecuate




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1 LIRMM - Laboratoire d-Informatique de Robotique et de Microélectronique de Montpellier 2 ICAR - Image & Interaction LIRMM - Laboratoire d-Informatique de Robotique et de Microélectronique de Montpellier

Abstract : In this paper, we propose an adaptation of the Parzen Rosenblatt density estimator that uses maxitive kernels. The result of this estimator, on every point of the domain of the density to be estimated, is interval valued. We prove the consistency of our approach with the Parzen Rosenblatt estimator, since, according to conditions exposed in this paper, our estimate contains this estimation.

Mots-clés : estimation imprécise Parzen Rosenblatt densité de probabilité noyau maxitif





Author: Bilal Nehme - Kevin Loquin - Olivier Strauss -

Source: https://hal.archives-ouvertes.fr/



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