Characteristic behavior and order relations for indicator variograms |
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| Authors: | Andre G Journel and Donato Posa |
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| Institution: | (1) Applied Earth Sciences Department, Stanford University, Stanford, California;(2) IRMA, Consiglio Nazionale delle Ricerche, Bari, Italy |
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| Abstract: | Heuristic models for indicator variograms and their parameters (practical nugget effect and range) are proposed for a bivariate normal distribution with spherical correlogram. These models can be used conveniently as a preliminary check for bivariate normality. In the general non-Gaussian case, indicator variogram models for multiple threshold values must verify a certain number of order relations (inequalities) established directly from the properties of a general bivariate cumulative distribution function. An interesting, little-known maximum hole effect for indicator correlation is pointed out. |
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| Keywords: | bivariate Gaussian indicator random functions variograms hole-effect order relations inequalities |
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