Analysis and estimation of natural processes with nonhomogeneous spatial variation using secondary information

作者: Giorgio Cassiani , George Christakos

DOI: 10.1023/A:1021761305044

关键词: KrigingCovarianceStochastic modellingMathematical optimizationProcess (engineering)InferenceRandom fieldSpatial variabilityComputer scienceGeostatistics

摘要: Natural processes encountered in mining, hydrogeologic, environmental, etc. applications usually are poorly known because of scarcity data over the area interest. Therefore, stochastic estimation techniques tool choice for a careful accounting heterogeneity and uncertainty involved. Within such framework, better utilization all available concerning process interest other natural related to it, is primary importance. Because many show complicated spatial trends, hypothesis homogeneity cannot be invoked always, more general theory intrinsic random fields should employed. Efficient use secondary information terms model requires that suitable permissibility criteria generalized covariances cross-covariances satisfied. A set presented situation two fields. These comprehensive than ones currently geostatistical literature. constrained least-square technique implemented inference covariance cross-covariance parameters, synthetic example used illustrate methodology. The numerical results can lead significant reductions errors.

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