Abstract
The application of regionalized variables requires the estimation of the variogram function and the evaluation of its integral. By representing the variogram by a general polygonal function the requisite integrals may be easily computed by a closed form representation of simple integrals. This paper provides the integration formulas for two-dimensional variogram functions whose domain is represented as a finite collection of rectangles. The integration formulas essential for a fully developed polygonal approach to an extensive statistical evaluation of geostatistical quantities are presented.
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Dunn, M.R., Alldredge, J.R. General polygonal variogram functions: Evaluation of estimation variance integrals. Mathematical Geology 14, 77–85 (1982). https://doi.org/10.1007/BF01037449
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DOI: https://doi.org/10.1007/BF01037449