Spatial Prediction of Spherical Intrinsic Processes

Spatial prediction of spherical intrinsic processes

‎In this paper‎, ‎we carry over the concept of the spatial prediction of intrinsic processes from the‎ ‎Euclidean space to the sphere‎, ‎where low-frequency truncated harmonics replace derivative-based penalty‎. ‎‎In addition a systematic study is made of the properties of an spherical kriging. ‎This permits a more ‎flexible interpolation and smoothing of intrinsic processes in the sphere. Finally the smoothing and interpolation issues on the sphere are considered by a simulation study.