Institutional Repository
Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/7038C30C-258D-4733-8D5F-AD6C2204A002 | ||
| Year | 2003 | ||
| Type of Item | Peer-Reviewed Journal Publication | ||
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| Bibliographic Citation | D.T. Hristopulos," Spartan gibbs random field models for geostatistical applications ", J. on Sc. Comput., vol. 24 ,no. 6, pp. 2125-2162,2003. doi:10.1137/S106482750240265X https://doi.org/10.1137/S106482750240265X | ||
| Appears in Collections |
The 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.
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