Histogram density estimators based upon a fuzzy partition

Kevin Loquin and Olivier Strauss

Statistics & Probability Letters, 2008, vol. 78, issue 13, 1863-1868

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 (). We give the optimal bin width of the estimator which minimizes the Asymptotic Integrated Mean Squared Error ().

Date: 2008
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