Factor Copula Models for Replicated Spatial Data

@article{Krupskii2015FactorCM,
  title={Factor Copula Models for Replicated Spatial Data},
  author={Pavel Krupskii and Raphael Huser and Marc G. Genton},
  journal={Journal of the American Statistical Association},
  year={2015},
  volume={113},
  pages={467 - 479}
}
ABSTRACT We propose a new copula model that can be used with replicated spatial data. Unlike the multivariate normal copula, the proposed copula is based on the assumption that a common factor exists and affects the joint dependence of all measurements of the process. Moreover, the proposed copula can model tail dependence and tail asymmetry. The model is parameterized in terms of a covariance function that may be chosen from the many models proposed in the literature, such as the Matérn model… 

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