Covariance models for multivariate random fields resulting from pseudo cross-variograms

So far, the pseudo cross-variogram is primarily used as a tool for structural analysis of multivariate random fields. Mainly applying recent theoretical results on cross-variogram, we use it cornerstone in construction valid covariance models In particular, extend known univariate constructions to case, and generalize existing models. Furthermore, provide general principle conditionally negative definite matrix-valued kernels, which reinterpret previous modeling proposals.