Spatial Point Processes and their Applications

A spatial point process is a model for a random pattern of points in d-dimensional space (usually d = 2 or d = 3 in applications). These processes play a special role in stochastic geometry as the building blocks of more complicated random set models (such as the Boolean model) [4, 3] and they also serve as instructive simple examples of random sets. In the related field of Spatial Statistics [1], point processes are used directly as statistical models of patterns of points or point-like objects. These lectures will introduce some basic techniques for constructing, manipulating and analysing spatial point patterns. The lecture titles are:

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