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Histogram Density Estimators Based Upon a Fuzzy Partition
Article de revue   Open Access   Avec comité de lecture

Histogram Density Estimators Based Upon a Fuzzy Partition

Kevin Loquin et Olivier Strauss
Statistics and Probability Letters, Vol.78(13), pp.1863-1868
15/09/2008
DOI: https://doi.org/10.1016/j.spl.2008.01.053

Résumé

Histogram probability density function convergence
This paper presents a density estimator based upon a histogram computed on a fuzzy partition. We prove the consistency of this estimator in the Mean Squared Error (MSE). We give the optimal bin width of the estimator which minimizes the Asymptotic Integrated Mean Squared Error (AIMSE).

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