Abstract
A practical solution for nonlinear geostatistical estimation is presented as Gaussian kriging and Riemann Sums (KRS). KRS is an association of Gaussian kriging with numerical Riemann integration for a nonlinear kriging solution. The approach returns unbiased nonlinear conditional moments, including heteroscedastic conditional variances that are typical of skewed random variables. KRS is generally applicable to either point or block estimates. Block Gaussian KRS is a new solution for ensemble upscaling of nonlinearly averaging parameter fields.
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Khan, K.D. (2014). Nonlinear Estimation with Gaussian Kriging and Riemann Sums. In: Pardo-Igúzquiza, E., Guardiola-Albert, C., Heredia, J., Moreno-Merino, L., Durán, J., Vargas-Guzmán, J. (eds) Mathematics of Planet Earth. Lecture Notes in Earth System Sciences. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32408-6_184
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DOI: https://doi.org/10.1007/978-3-642-32408-6_184
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