NDLI: Histogram Density Estimators Based Upon a Fuzzy Partition

Content Provider	Hyper Articles en Ligne (HAL)
Author	Loquin, Kevin Strauss, Olivier
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).
Ending Page	1868
Page Count	6
Starting Page	1863
File Format	PDF
ISSN	01677152
DOI	10.1016/j.spl.2008.01.053
Journal	Statistics and Probability Letters
Issue Number	13
Volume Number	78
Language	English
Publisher	Elsevier
Publisher Date	2008-09-15
Access Restriction	Open
Subject Keyword	Histogram probability density function convergence info spi math stat Computer Science [cs] Signal and Image Processing Engineering Sciences [physics] Signal and Image processing Mathematics [math] Statistics [math.ST] Statistics [stat] Statistics Theory [stat.TH]
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Statistics, Probability and Uncertainty

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Histogram Density Estimators Based Upon a Fuzzy Partition