Abstract
Disjunctive kriging is a general method, but the usual technique based upon Gaussian anamorphoses and Hermitian expansions become irrelevant in the case of discrete laws or, more generally, if the distribution possesses an atomic part. Isofactorial models with discrete laws, which are relevant in these cases, are suggested.
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References
Isofactorial models originate from Quantum Mechanics, where they have been widely and systematically used since the twenties. See for instance [+]. In particular, Hermite polynomials appear as eigen functions in the case of the one dimensional harmonic oscillator. Among statisticians, this Hermitian model and some others are mentioned by Cramer [5] as early as 1945. Isofactorial models were also used in the field of Markov processes, see [6]. In data analysis, thev constituted the starting point of correspondence analysis, [7], [8]. In Geostatistics, they have been used since 1973, [9], [l]. Note well that in general the factors are not polynomials. But, at the request of the reviewer, I also mention the fact that reference [l0] discusses orthogonal polynomials.
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© 1984 D. Reidel Publishing Company
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Matheron, G. (1984). Isofactorial Models and Change of Support. In: Verly, G., David, M., Journel, A.G., Marechal, A. (eds) Geostatistics for Natural Resources Characterization. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3699-7_26
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DOI: https://doi.org/10.1007/978-94-009-3699-7_26
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