Robust quantile estimation and prediction for spatial processes

Details Robust quantile estimation and prediction for spatial processes Robust quantile estimation and prediction for spatial processes

2010-01-25

arxiv.org/abs/1001.4425v1

Mathematics

Statistics Theory

13 pages

Scientific paper

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 $L_1$ 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.

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