How to model the covariance structure in a spatial framework: variogram or correlation function?

Giovanni Pistone; Grazia Vicario

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arXiv · 1503.07686

How to model the covariance structure in a spatial framework: variogram or correlation function?

Giovanni Pistone·Grazia Vicario

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Abstract

The basic Kriging's model assumes a Gaussian distribution with stationary mean and stationary variance. In such a setting, the joint distribution of the spatial process is characterized by the common variance and the correlation matrix or, equivalently, by the common variance and the variogram matrix. We discuss in in detail the option to actually use the variogram as a parameterization.

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Giovanni Pistone, Grazia Vicario. 2015-03-26. How to model the covariance structure in a spatial framework: variogram or correlation function?. https://arxiv.org/abs/1503.07686

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