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Sampling Geostatistical Structures in Extremal Framework
Université de Fada N’Gourma, Fada N’Gourma, Burkina Faso
Université Joseph Ki-Zerbo, Ouagadougou, Burkina Faso
Université Thomas Sankara, Ouagadougou, Burkina Faso
- 1 Université de Fada N’Gourma, Fada N’Gourma, Burkina Faso
- 2 Université Joseph Ki-Zerbo, Ouagadougou, Burkina Faso
- 3 Université Thomas Sankara, Ouagadougou, Burkina Faso
Open Journal of Statistics·Volume 13 (2023)·Pages 46–60·Published 17 February 2023·DOI10.4236/ojs.2023.131004
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Abstract
Geostatistics of extreme values makes it possible to model the asymptotic behavior of random phenomena that depend on time or space. In this paper, we propose new models of the extremal coefficient of a stationary random field where the cumulative distribution is associated with a multivariate copula. More precisely, some models of extensions of the extremogram and these derivatives are built in a spatial framework. Moreover, both these two geostatistical tools are modeled using the extremal variogram which characterizes the asymptotic stochastic behavior of the phenomena.
KeywordsExtremal IndexExtremogramVariogramCopulasStationary ProcessExtreme Values
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