Nonparametric approximation of conditional risk in nonstationary geostatistical processes
Autor: | Rubén Fernández-Casal, Sergio Castillo-Páez, Mario Francisco-Fernández |
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Rok vydání: | 2022 |
Předmět: | |
DOI: | 10.21203/rs.3.rs-1398694/v1 |
Popis: | A nonparametric procedure to estimate the conditional probability that a geostatistical process exceeds a certain threshold value is proposed. The method consists of a bootstrap algorithm that combines conditional simulation techniques with nonparametric estimations of the trend and the variogram. The nonparametric local linear estimator, considering a bandwidth matrix selected by a method that takes the spatial dependence into account, is used to estimate the trend. The variogram is approximated by a flexible bias-corrected estimator based on the residuals. The proposed method allows to obtain estimates of the conditional exceedance risk in non-observed spatial locations. The performance of the approach is analyzed by simulation and illustrated with the application to a real data set. |
Databáze: | OpenAIRE |
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