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Imprecise Estimation of The Probability Density Function
Acte de colloque   Open Access

Imprecise Estimation of The Probability Density Function

Bilal Nehme, Kevin Loquin et Olivier Strauss
Rencontres francophones sur la Logique Floue et ses Applications, pp.286-293
LFA: Logique Floue et ses Applications (Lens, France, 15/10/2008–17/10/2008)
15/05/2008

Résumé

Parzen Rosenblatt densité de probabilité noyau maxitif estimation imprécise
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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