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k-nearest neighbors prediction and classification for spatial data

By Mohamed-Salem Ahmed, Mamadou N'diaye, Mohammed Kadi Attouch and Sophie Dabo-Niang

Abstract

We propose a nonparametric predictor and a supervised classification based on the regression function estimate of a spatial real variable using k-nearest neighbors method (k-NN). Under some assumptions, we establish almost complete or sure convergence of the proposed estimates which incorporate a spatial proximity between observations. Numerical results on simulated and real fish data illustrate the behavior of the given predictor and classification method

Topics: Mathematics - Statistics Theory, Statistics - Applications
Year: 2018
OAI identifier: oai:arXiv.org:1806.00385

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