1 Asymptotic Distribution of t he Empirical Cumulative Distribution Function Predictor under N onstationarity -- 1 Introduction -- 2 Th e Asymptotic Framework -- 3 Main Results -- 4 Proofs -- 5 References -- 2 Robustness Problems in the Analysis of Spatial Data -- 1 Introduction -- 2 Highly Robust Variogram Estimation -- 3 Variogram Model Selection -- 4 Variogram Fitting by Generalized Least Squares -- 5 Conclusion -- 6 References -- 3 Standards Adoption Dynamics and Test for Nonspatial Coordination -- 1 Introduction -- 2 Models with out Spatial Coordination -- 3 Models with Spatial Coordination -- 4 Tests for Nonspatial Coordination : the Case of a Regular Lattice with v Nearest Neighbours -- 5 References -- 4 Random Fields on Zd, Limit Theorems and Irregular Sets -- 1 Introduction -- 2 CLT for Weakly Dependent Stationary Random Fields over Irregular Sets -- 3 CLT for % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiwamaaBa % aaleaacaWGUbaabeaakiabg2da9iabeA8aQnaabmaabaGaeqOVdG3a % aSbaaSqaaiaad6gaaeqaaOGaaiilaiaadMfadaWgaaWcbaGaamOBaa % qabaaakiaawIcacaGLPaaaaaa!41E9! $$ {X_n} = \varphi \left( {{\xi _n},{Y_n}} \right) $$ -- 4 The Same Program for High-Level Exceedances -- 5 References -- 5 Multiscale Graphical Modeling in Space: Applications to Command and Control -- 1 Introduction -- 2 Tree-Struct ured Markov Models -- 3 Graphical Markov Models -- 4 Multiscale Graphical Models -- 5 Discussion -- 6 References -- 6 Unsupervised Image Segmentation Using a Telegraph Parameterization of Pickard Random Field -- 1 Introduction -- 2 Approach -- 3 EM Reestimation Formulas for Parameter Estimation 119 -- 4 3D extension -- 5 Telegraph model -- 6 Mixture of Gaussians -- 7 Results -- 8 Conclusion -- 9 References -- 7 Estimation of Motion from Sequences of Images -- 1 Introduction -- 2 Data -- 3 The Continuity Equation -- 4 Projection from t he Sphere to th e Plane -- 5 Parametrization of the Displacement Field -- 6 Discretization of the Continuity Equation -- 7 Penalized Least Squares Estimation -- 8 Estimation of the Variance of the Observation Error -- 9 Asymptotics -- 10 Application to Ozone Images -- 11 Conclusion -- 12 References -- 8 Applications of Random Fields in Human Brain Mapping -- 1 Introduction -- 2 Test Statistics -- 3 Distribution of the Test Statistics Based on Random Field Theory -- 4 Results -- 5 Conclusion -- 6 References -- 9 In Praise of Tedious Permutation -- 1 R.A. Fisher (1890-1962) , the Anthropologist s and Darwin's Peas -- 2 Permutation Tests in Human Brain Mapping -- 3 Permutation Tests of Spatial Statistics -- 4 Some Limitations of Permutation Testing -- 5 Conclusion -- 6 References -- 10 Group Analysis of Individual Activation Maps Using 3D Scale-Space Primal Sketches and a Markovian Random Field -- 1 Introduction -- 2 Method -- 3 Results -- 4 Conclusion -- 5 References -- 11 Some Statistical Aspects of Magnetoencephalography -- 1 Introduction -- 2 Outlines of MEG Source Analysis -- 3 Spatial Statistics of the Measurement Noise -- 4 Localized Averages -- 5 Selected Aspects of Nonlinear Parameter Estimation Problems -- 6 Concluding Remarks -- 7 References -- 12 Statistics of Nonlinear Spatial Distortions in Histological Images -- 1 Introduction -- 2 Theory -- 3 Concerning the Application of the Central Limit Theorem -- 4 Conclusion -- 5 References -- 13 Statistical Analysis of Brain Maps: Some Lessons from Morphometries -- 1 Introduction -- 2 The Core of Modern Morphometries: An Overview -- 3 Partial Least Squares for Correlations of Shape -- 4 Symmetry -- 5 Varieties of "Localization" for Image Phenomena -- 6 Concluding Remarks -- 7 References.