Nonparametric geostatistical risk mapping.

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Bibliographic Details
Title: Nonparametric geostatistical risk mapping.
Authors: Fernández-Casal, Rubén1 ruben.fcasal@udc.es, Castillo-Páez, Sergio2,3 sacastillo@espe.edu.ec, Francisco-Fernández, Mario1 mariofr@udc.es
Source: Stochastic Environmental Research & Risk Assessment. Mar2018, Vol. 32 Issue 3, p675-684. 10p.
Subjects: Statistical maps, Geological statistics, Risk assessment, Spatial analysis (Statistics), Regression analysis, Variograms, Statistical bootstrapping
Abstract: In this work, a fully nonparametric geostatistical approach to estimate threshold exceeding probabilities is proposed. To estimate the large-scale variability (spatial trend) of the process, the nonparametric local linear regression estimator, with the bandwidth selected by a method that takes the spatial dependence into account, is used. A bias-corrected nonparametric estimator of the variogram, obtained from the nonparametric residuals, is proposed to estimate the small-scale variability. Finally, a bootstrap algorithm is designed to estimate the unconditional probabilities of exceeding a threshold value at any location. The behavior of this approach is evaluated through simulation and with an application to a real data set. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
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Abstract:In this work, a fully nonparametric geostatistical approach to estimate threshold exceeding probabilities is proposed. To estimate the large-scale variability (spatial trend) of the process, the nonparametric local linear regression estimator, with the bandwidth selected by a method that takes the spatial dependence into account, is used. A bias-corrected nonparametric estimator of the variogram, obtained from the nonparametric residuals, is proposed to estimate the small-scale variability. Finally, a bootstrap algorithm is designed to estimate the unconditional probabilities of exceeding a threshold value at any location. The behavior of this approach is evaluated through simulation and with an application to a real data set. [ABSTRACT FROM AUTHOR]
ISSN:14363240
DOI:10.1007/s00477-017-1407-y