Advances and Applications in Statistics
Volume 46, Issue 2, Pages 119 - 158
(August 2015) http://dx.doi.org/10.17654/ADASAug2015_119_158 |
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NON-PARAMETRIC LEVEL SET ESTIMATION FOR SPATIAL DATA
Stéphane Bouka, Sophie Dabo-Niang and Guy Martial Nkiet
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Abstract: A non-parametric level set estimator of the density of a stationary d-dimensional spatial process is proposed. The estimator is deduced from a non-parametric kernel density estimator. Berry-Esseen bounds are established and used to give consistency results of the kernel level set estimation, derived from that of the kernel density estimate under some mild conditions. |
Keywords and phrases: Berry-Esseen bounds, level set estimation, kernel estimator, spatial data. |
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