M-Estimator of the drift coefficients in a spatial linear model |
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Authors: | Ana F Militino |
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Institution: | (1) Departamento de Estadistica e Investigación Operativa, Universidad Pública de Navarra, 31006 Pamplona, Spain |
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Abstract: | Kriging as an interpolation method, uses as predictor a linear function of the observations, minimizing the mean squared prediction
error or estimation variance. Under multivariate normality assumptions, the given predictor is the best unbiased predictor,
and will be vulnerable to outliers. To overcome this problem, a robust weighted estimator of the drift model coefficients
is proposed, where unequally spaced data may be weighted through the tile areas of the Dirichlet tessellation. |
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Keywords: | kriging tessellation robustness |
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