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During the past twenty years spatial statistics has experienced important developments and has been applied in many fields of science. In view of these facts, spatial statistics was an important topic during the theme year on statistics at the CRM in 1997-98.
This volume contains 13 papers based on presentations by eminent researchers at four workshops during that year: Statistical Inference for Spatial Processes; Image Analysis; Applications of Spatial Statistics in Earth, Environmental, and Health Sciences; and Statistics of Brain Mapping. These papers range from asymptotic considerations for spatial processes to practical considerations related to particular applications including important methodological aspects. Many contributions concern image analysis, mainly images related to brain mapping.
Asymptotic Distribution of the Empirical Cumulative Distribution Function Predictor under Nonstationarity.- Robustness Problems in the Analysis of Spatial Data.- Standards Adoption Dynamics and Test for Nonspatial Coordination.- Random Fields on Z^d, Limit Theorems and Irregular Sets.- Multiscale Graphical Modeling in Space: Applications to Command and Control.- Unsupervised Image Segmentation Using a Telegraph Parametrization of Pickard Random Field.- Estimation of Motion from Sequences of Images.- Applications of Random Fields in Human Brain Mapping.- In Praise of Tedious Permuation.- Group Analysis of Individual Activation Maps Using 3D Scale-Space Primal Sketches and a Markovian Random Field.- Some Statistical Aspects of Magnetoencephalography.- Statistics of Nonlinear Spatial Distortions in Histological Images.- Statistical Analysis of Brain Maps: Some Lessons from Morphometrics.