Some Recent Developments in Inference for Geostatistical Functional Data

We review recent developments related to inferencefor functions defined at spatial locations. We also considertime series of functions defined at irregularly distributedspatial points or on a grid. We focus on kriging, estimationof the functional mean and principal components, and significancetesting, giving special attention to testing spatio--temporalseparability in the context of functional data. We also highlightsome ideas related to extreme value theory for spatially indexed functionaltime series.