Abstract
Random functions are in frequent use in applications of spatial statistics. Gaussian and Gaussian intrinsic random functions are differentiated, and the screening sequential algorithm for generating realizations from them are defined. The algorithm is based on the general sequential algorithm and Markov properties for random functions. For exponential and linear variogram functions the algorithm is shown to be exact for the one-dimensional case, while empirical evaluations show that it is highly reliable also in two-dimensional cases. For fractal random functions, the screening sequential algorithm is significally more reliable than the frequently used random midpoint displacement and successive random addition algorithms. The processing requirements for the algorithm is independent of the actual variogram function and linear in number of lattice nodes — both favorable characteristics.
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© 1993 Kluwer Academic Publishers
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Omre, H., Sølna, K., Tjelmeland, H. (1993). Simulation of Random Functions on Large Lattices. In: Soares, A. (eds) Geostatistics Tróia ’92. Quantitative Geology and Geostatistics, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1739-5_16
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DOI: https://doi.org/10.1007/978-94-011-1739-5_16
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-2157-6
Online ISBN: 978-94-011-1739-5
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