Robust quantile estimation and prediction for spatial processes
In this paper, we present a statistical framework for modeling conditional quantiles of spatial processes assumed to be strongly mixing in space. We establish the L1 consistency and the asymptotic normality of the kernel conditional quantile estimator in the case of random fields. We also define a nonparametric spatial predictor and illustrate the methodology used with some simulations.
Year of publication: |
2010
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Authors: | Dabo-Niang, Sophie ; Thiam, Baba |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 80.2010, 17-18, p. 1447-1458
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Publisher: |
Elsevier |
Keywords: | Spatial processes Kernel estimate Conditional quantile Spatial prediction |
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