How to model the covariance structure in a spatial framework: variogram or correlation function?
Statistics Theory
2016-12-12 v3 Statistics Theory
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.
Cite
@article{arxiv.1503.07686,
title = {How to model the covariance structure in a spatial framework: variogram or correlation function?},
author = {Giovanni Pistone and Grazia Vicario},
journal= {arXiv preprint arXiv:1503.07686},
year = {2016}
}
Comments
This paper is the final revision of arXiv:1503.07686 [math.ST] with a new title