A Bayesian/maximum-entropy view to the spatial estimation problem.
作者： George Christakos
DOI: 10.1007/BF00890661
关键词: Geostatistics 、 Entropy (information theory) 、 Maximization 、 Posterior probability 、 Mathematical optimization 、 Spatial variability 、 Bayesian probability 、 Mathematics 、 Bayes' theorem 、 Econometrics 、 Binary entropy function
摘要: … In view of the above considerations, we can formulate the FTA version of the estimation problem as … The FTA solution to this estimation problem is as follows. First, the requirement (I) is …
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sci-hub.se 参考文章(18)
Georges Matheron, Isofactorial Models and Change of Support NATO ASI Series Series C. pp. 449- 467 ,(1984) , 10.1007/978-94-009-3699-7_26
G. Matheron, Les variables régionalisées et leur estimation : une application de la théorie de fonctions aléatoires aux sciences de la nature Masson et Cie. ,(1965)
Lev Semenovich Gandin, Objective Analysis of Meteorological Fields ,(1963)
George M. Ewing, Calculus of Variations with Applications ,(2016)
Rudolf Carnap, Logical foundations of probability ,(1950)
Andre G. Journel, Fundamentals of geostatistics in five lessons ,(1991)
CE Shennon, Warren Weaver, A mathematical theory of communication Bell System Technical Journal. ,vol. 27, pp. 379- 423 ,(1948) , 10.1002/J.1538-7305.1948.TB01338.X
E.T. Jaynes, On the rationale of maximum-entropy methods Proceedings of the IEEE. ,vol. 70, pp. 939- 952 ,(1982) , 10.1109/PROC.1982.12425
G. Christakos, Optimal Estimation of Nonlinear State Nonlinear Observation Systems Journal of Optimization Theory and Applications. ,vol. 62, pp. 29- 48 ,(1989) , 10.1007/BF00939628
J. Shore, R. Johnson, Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy IEEE Transactions on Information Theory. ,vol. 26, pp. 26- 37 ,(1980) , 10.1109/TIT.1980.1056144