Entropy and Information Content of Geostatistical Models

作者: Thomas Mejer Hansen

DOI: 10.1007/S11004-020-09876-Z

关键词:

摘要: Geostatistical models quantify spatial relations between model parameters and can be used to estimate simulate properties away from known observations. The underlying statistical model, quantified through a joint probability density, most often consists of both an assumed the specific choice algorithm, including tuning controlling algorithm. Here, theory is developed that allows one compute entropy multivariate density when sampled using sequential simulation. self-information single realization computed as sum conditional self-information. average obtained for many independent realizations. For discrete mass functions, measure effective number free parameters, implied by function, proposed. Through few examples, information content related different choices simulation algorithms parameters.

参考文章(37)
Amilcar Soares, Direct Sequential Simulation and Cosimulation Mathematical Geosciences. ,vol. 33, pp. 911- 926 ,(2001) , 10.1023/A:1012246006212
Felipe B. Guardiano, R. Mohan Srivastava, Multivariate Geostatistics: Beyond Bivariate Moments Springer, Dordrecht. pp. 133- 144 ,(1993) , 10.1007/978-94-011-1739-5_12
Clayton V. Deutsch, Geostatistical Reservoir Modeling ,(2002)
Sebastien Strebelle, Conditional Simulation of Complex Geological Structures Using Multiple-Point Statistics Mathematical Geosciences. ,vol. 34, pp. 1- 21 ,(2002) , 10.1023/A:1014009426274
Multiple‐Point Geostatistics Algorithms Multiple-Point Geostatistics: Stochastic Modeling with Training Images. pp. 155- 171 ,(2014) , 10.1002/9781118662953.CH9
P. Goovaerts, Medical Geography: A Promising Field of Application for Geostatistics Mathematical Geosciences. ,vol. 41, pp. 243- 264 ,(2009) , 10.1007/S11004-008-9211-3
Bora Oz, Clayton V Deutsch, Thomas.T Tran, YuLong Xie, DSSIM-HR: a FORTRAN 90 program for direct sequential simulation with histogram reproduction Computers & Geosciences. ,vol. 29, pp. 39- 51 ,(2003) , 10.1016/S0098-3004(02)00071-7
A. G. Journel, Modelling uncertainty and spatial dependence: Stochastic imaging International Journal of Geographic Information Systems. ,vol. 10, pp. 517- 522 ,(1996) , 10.1080/02693799608902094