Abstract
Two types of random functions are used in geostatistics: a diffusion type, with almost surely continuous realizations, and a mosaic type, with jumps located at surfaces of discontinuity (intermediate types also exist).
Two classes of discrete isofactorial models are presented here, which allow the change of support for these two types of random func?tions. For the diffusive type, the starting point is the theory of “birth and death” Markov processes. For the mosaic type, it is a class of Boolean random functions (the “dead leaves” model) which seems parti?cularly interesting because of its geometrical implications.
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© 1989 Springer Science+Business Media Dordrecht
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Matheron, G. (1989). Two Classes of Isofactorial Models. In: Armstrong, M. (eds) Geostatistics. Quantitative Geology and Geostatistics, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-6844-9_23
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DOI: https://doi.org/10.1007/978-94-015-6844-9_23
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