Abstract Traditional and modern spatial prediction techniques are applied in the analysis of water quality, evidencing a new approach that allows modeling hydrogeological system central area Boyacá, Colombia. The objective is to determine quality status groundwater for human consumption. In process, predictions were made based on frequentist methods (kriging, cokriging) Bayesian (R-INLA stochas...

We consider the problem of non-parametric testing independence two components a stationary bivariate spatial process. In particular, we revisit random shift approach that has become standard method for independent superposition hypothesis in statistics, and it is widely used plethora practical applications. However, this liberality caused by breaking marginal correlation structure due to toroid...

The Matérn family of covariance functions has played a central role in spatial statistics for decades, being flexible parametric class with one parameter determining the smoothness paths underlying field. This paper proposes functions, which stems from reparameterization generalized Wendland family. As case, proposed allows continuous parameterization Gaussian random field, additionally compact...