Handbook of Spatial Statistics

Assembling a collection of very prominent researchers in the field, the Handbook of Spatial Statistics presents a comprehensive treatment of both classical and state-of-the-art aspects of this maturing area. It takes a unified, integrated approach to the material, providing cross-references among chapters. The handbook begins with a historical introduction detailing the evolution of the field. It then focuses on the three main branches of spatial statistics: continuous spatial variation (point referenced data); discrete spatial variation, including lattice and areal unit data; and spatial point patterns. The book also contains a section on space–time work as well as a section on important topics that build upon earlier chapters. By collecting the major work in the field in one source, along with including an extensive bibliography, this handbook will assist future research efforts. It deftly balances theory and application, strongly emphasizes modeling, and introduces many real data analysis examples.

IntroductionHistorical Introduction, Peter J. Diggle Continuous Spatial VariationContinuous Parameter Stochastic Process Theory, Tilmann Gneiting and Peter GuttorpClassical Geostatistical Methods, Dale L. Zimmerman and Michael SteinLikelihood-Based Methods, Dale L. ZimmermanSpectral Domain, Montserrat Fuentes and Brian ReichAsymptotics for Spatial Processes, Michael SteinHierarchical Modeling with Spatial Data, Christopher K. WikleLow Rank Representations for Spatial Processes, Christopher K. WikleConstructions for Nonstationary Spatial Processes, Paul D. SampsonMonitoring Network Design, James V. Zidek and Dale L. ZimmermanNon-Gaussian and Nonparametric Models for Continuous Spatial Data, Mark F.J. Steel and Montserrat Fuentes Discrete Spatial VariationDiscrete Spatial Variation, Håvard Rue and Leonard HeldConditional and Intrinsic Autoregressions, Leonhard Held and Håvard RueDisease Mapping, Lance Waller and Brad CarlinSpatial Econometrics, R. Kelley Pace and James LeSage Spatial Point PatternsSpatial Point Process Theory, Marie-Colette van LieshoutSpatial Point Process Models, Valerie IshamNonparametric Methods, Peter J. DiggleParametric Methods, Jesper MøllerModeling Strategies, Adrian BaddeleyMultivariate and Marked Point Processes, Adrian BaddeleyPoint Process Models and Methods in Spatial Epidemiology, Lance Waller Spatio-Temporal ProcessesContinuous Parameter Spatio-Temporal Processes, Tilmann Gneiting and Peter GuttorpDynamic Spatial Models Including Spatial Time Series, Dani GamermanSpatio-Temporal Point Processes, Peter J. Diggle and Edith GabrielModeling Spatial Trajectories, David R. BrillingerData Assimilation, Douglas W. Nychka and Jeffrey L. Anderson Additional TopicsMultivariate Spatial Process Models, Alan E. Gelfand and Sudipto BanerjeeMisaligned Spatial Data: The Change of Support Problem, Alan E. GelfandSpatial Aggregation and the Ecological Fallacy, Jonathan Wakefield and Hilary LyonsSpatial Gradients and Wombling, Sudipto Banerjee Index

Alan E. Gelfand, Department of Statistical Science, Duke University, Durham, North Carolina, USA Peter J. Diggle, School of Health and Medicine, Lancaster University, UK Montserrat Fuentes, Department of Statistics, North Carolina State University, Raleigh, USA Peter Guttorp, Department of Statistics, University of Washington, Seattle, USA, and Norwegian Computing Center, Oslo, Norway