Necessary and sufficient conditions for asymptotically optimal linear prediction of random fields on compact metric spaces

Kristin Kirchner, David Bolin

Optimal linear prediction (aka. kriging) of a random field $\{Z(x){\}}_{x\in \mathcal{X}}$ indexed by a compact metric space $(\mathcal{X},d_{\mathcal{X}})$ can be obtained if the mea…