Spatial Cluster Modelling (Monographs on Statistics and Applied Probability)

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Research has generated a number of advances in methods for spatial cluster modelling in recent years, particularly in the area of Bayesian cluster modelling. Along with these advances has come an explosion of interest in the potential applications of this work, especially in epidemiology and genome research. In one integrated volume, this book reviews the state-of-the-art in spatial clustering and spatial cluster modelling, bringing together research and applications previously scattered throughout the literature. It begins with an overview of the field, then presents a series of chapters that illuminate the nature and purpose of cluster modelling within different application areas, including astrophysics, epidemiology, ecology, and imaging. The focus then shifts to methods, with discussions on point and object process modelling, perfect sampling of cluster processes, partitioning in space and space-time, spatial and spatio-temporal process modelling, nonparametric methods for clustering, and spatio-temporal cluster modelling. Many figures, some in full color, complement the text, and a single section of references cited makes it easy to locate source material. Leading specialists in the field of cluster modelling authored each chapter, and an introduction by the editors to each chapter provides a cohesion not typically found in contributed works. Spatial Cluster Modelling thus offers a singular opportunity to explore this exciting new field, understand its techniques, and apply them in your own research.

Author(s): Andrew B. Lawson, David G.T. Denison
Edition: 1
Year: 2002

Language: English
Pages: 304

Contents......Page 6
List of Contributors......Page 12
Preface......Page 14
CHAPTER 1 Spatial Cluster Modelling: An Overview......Page 16
CHAPTER 2 Significance in Scale-Space for Clustering......Page 38
CHAPTER 3 Statistical Inference for Cox Processes......Page 52
CHAPTER 4 Extrapolating and Interpolating Spatial Patterns......Page 76
CHAPTER 5 Perfect Sampling for Point Process Cluster Modelling......Page 102
CHAPTER 6 Bayesian Estimation and Segmentation of Spatial Point Processes Using Voronoi Tilings......Page 124
CHAPTER 7 Partition Modelling......Page 140
CHAPTER 8 Cluster Modelling for Disease Rate Mapping......Page 162
CHAPTER 9 Analyzing Spatial Data Using Skew-Gaussian Processes......Page 178
CHAPTER 10 Accounting for Absorption Lines in Images Obtained with the Chandra X-ray Observatory......Page 190
CHAPTER 11 Spatial Modelling of Count Data: A Case Study in Modelling Breeding Bird Survey Data on Large Spatial Domains......Page 214
CHAPTER 12 Modelling Strategies for Spatial-Temporal Data......Page 228
CHAPTER 13 Spatio-Temporal Partition Modelling: An Example from Neurophysiology......Page 242
CHAPTER 14 Spatio-Temporal Cluster Modelling of Small Area Health Data......Page 250
References......Page 274
Index......Page 292
Author Index......Page 296