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Histogram Density Estimators Based Upon a Fuzzy Partition

Kevin Loquin 1 Olivier Strauss 2
2 ICAR - Image & Interaction
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : 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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Kevin Loquin, Olivier Strauss. Histogram Density Estimators Based Upon a Fuzzy Partition. Statistics and Probability Letters, Elsevier, 2008, 78 (13), pp.1863-1868. ⟨10.1016/j.spl.2008.01.053⟩. ⟨lirmm-00366761⟩

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