1  Cover

      2  Title Page

      3  Copyright

      4  Dedication

      5  Dedication

      6  List of Figures

      7  List of Tables

      8  Preface

      9  List of Notation and Terminology

      10  1 Introduction 1.1 Spatial Analysis 1.2 Presentation of the Data 1.3 Objectives 1.4 The Covariance Function and Semivariogram 1.5 Behavior of the Sample Semivariogram 1.6 Some Special Features of Spatial Analysis Exercises

      11  2 Stationary Random Fields 2.1 Introduction 2.2 Second Moment Properties 2.3 Positive Definiteness and the Spectral Representation 2.4 Isotropic Stationary Random Fields 2.5 Construction of Stationary Covariance Functions 2.6 Matérn Scheme 2.7 Other Examples of Isotropic Stationary Covariance Functions 2.8 Construction of Nonstationary Random Fields 2.9 Smoothness 2.10 Regularization 2.11 Lattice Random Fields 2.12 Torus Models 2.13 Long‐range Correlation 2.14 Simulation Exercises

      12  3 Intrinsic and Generalized Random Fields 3.1 Introduction 3.2 Intrinsic Random Fields of Order

3.7 Generalized Intrinsic Random Fields of Intrinsic Order

      13  4 Autoregression and Related Models 4.1 Introduction 4.2 Background 4.3 Moving Averages 4.4 Finite Symmetric Neighborhoods of the Origin in

      14  5 Estimation of Spatial Structure 5.1 Introduction 5.2 Patterns of Behavior 5.3 Preliminaries 5.4 Exploratory and Graphical Methods 5.5 Maximum Likelihood for Stationary Models 5.6 Parameterization Issues for the Matérn Scheme 5.7 Maximum Likelihood Examples for Stationary Models 5.8 Restricted Maximum Likelihood (REML) 5.9 Vecchia's Composite Likelihood 5.10 REML Revisited with Composite Likelihood Скачать книгу