Thank you Eric. I think MWK is an interpoaltion method though it is sometimes hard to implement in practice. Crossvalidation in WMK is feasible, see [1]http://www.sciencedirect.com/science/article/pii/S009830040700091X [2]http://www.stat.purdue.edu/~zhanghao/MASSData/Projects/project1.pdf [3]http://www.science.mcmaster.ca/geo/faculty/paez/additional_info/Spatial_Effects_v2.1_(US_handout).pdf Empirical Bayesian Kriging is really amazing. are there any publications about the Empirical Bayesian Kriging used in Arcgis 10.1? If I want to use this method for my data, how can I cite it? Thanks a lot. Despite its name, MWK is not actually an interpolation method, so you can't perform crossvalidation. It is designed to calculate local semivariogram parameters (nugget, range, sill) at locations you specify. There is an optional prediction raster output, but that is using Local Polynomial Interpolation. The model source parameter is typically a Kriging layer that you created in the Geostatistical Wizard. It needs this layer so that it can pull things like semivariogram model type (Spherical, Exponential, etc). You can learn how to make a geostatistical layer in our tutorial. However, in ArcGIS 10.1, we have Empirical Bayesian Kriging. While it's not exactly a moving window, it builds local, overlapping models, so it has many of the advantages of MWK.
... View more