Δημοσιεύσεις σε Περιοδικά
Μόνιμο URI για αυτήν τη συλλογήhttps://dspace.library.tuc.gr/handle/123456789/145
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Πλοήγηση Δημοσιεύσεις σε Περιοδικά ανά Θέμα "Greek mathematics"
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Δημοσίευση Spartan gibbs random field models for geostatistical applications(SIAM, 2003) D.T. HristopulosThe inverse problem of determining the spatial dependence of random fields from an experimental sample is a central issue in Geostatistics. We propose a computationally efficient approach based on Spartan Gibbs random fields. Their probability density function is determined by a small set of parameters, which can be estimated by enforcing sample-based constraints on the stochastic moments. The computational complexity of calculating the constraints increases linearly with the sample size. We investigate a specific Gibbs probability density with spatial dependence derived from generalized gradient and Laplacian operators, and we derive permissibility conditions for the model parameters.