This work derives explicit kernel approximations for universal kriging predictors for a class of intrinsic random function models. This class of predictors is of particular interest because they are equivalent to the standard two-dimensional thin plate smoothing splines. By introducing a...

Cross-periodograms can be used to study a multivariate spatial process observed on a lattice. For spatial data, it is often appropriate to study asymptotic properties of statistical procedures under fixed-domain asymptotics in which the number of observations increases in a fixed region while...