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Journal articles

Non-parametric level set estimation for spatial data

Sophie Dabo-Niang 1, 2 Guy-Martial Nkiet 3 Stéphane Bouka 4 
1 MODAL - MOdel for Data Analysis and Learning
LPP - Laboratoire Paul Painlevé - UMR 8524, Université de Lille, Sciences et Technologies, Inria Lille - Nord Europe, METRICS - Evaluation des technologies de santé et des pratiques médicales - ULR 2694, Polytech Lille - École polytechnique universitaire de Lille
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.
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Submitted on : Tuesday, September 29, 2015 - 3:57:53 PM
Last modification on : Tuesday, April 12, 2022 - 4:12:02 PM



Sophie Dabo-Niang, Guy-Martial Nkiet, Stéphane Bouka. Non-parametric level set estimation for spatial data. Advances and Applications in Statistics, Pushpa Publishing House, 2015, 46 (2), pp.119 - 158. ⟨10.17654/ADASAug2015_119_158⟩. ⟨hal-01206787⟩



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