A Step by Step Guide to Bi-Gaussian Disjunctive Kriging

Abstract

The Disjunctive Kriging formalism has been implemented for a number of tasks in geostatis- tics. Despite the advantages of this formalism, application has been hindered by presenta- tions that assume a fairly advanced level of mathematical familiarity. This paper will go through the steps to perform Disjunctive Kriging in a simple case.The global stationary distribution of the variable under consideration is fit by Hermite polynomials. Disjunctive Kriging amounts to simple kriging to estimate the polynomial val- ues at an unsampled location. These estimated values completely define the local distribution of uncertainty. It is straightforward to implement this formalism in computer code, but a clear exposition of the theoretical details is required for confident application and any future development.