Spatio–temporal Functional Data Analysis

The objective of this chapter is to review some recent developments in statistical inference for spatio-temporal functional data. After introducing the basic structure of the data, we highlight some recent inferential procedures, including tests for randomness, a change-point in the mean, separability of the covariance, temporal trend tests, and inference about spatio–temporal extremes. These tools are illustrated on data gathered across Russian weather stations dating back to the late nineteenth century.