Imprecise Estimation of The Probability Density Function

Bilal Nehme 1 Kevin Loquin 1 Olivier Strauss 2
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.
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Bilal Nehme, Kevin Loquin, Olivier Strauss. Imprecise Estimation of The Probability Density Function. LFA: Logique Floue et ses Applications, Oct 2008, Lens, France. pp.286-293. ⟨lirmm-00366846⟩

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