The Second-Order Analysis of Stationary Point Processes
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In this paper, the authors provide a rigorous foundation for the second-order analysis of stationary point processes on general spaces, including the line and hyperplane processes of Davidson and Krickeberg.Abstract:
This paper provides a rigorous foundation for the second-order analysis of stationary point processes on general spaces. It illuminates the results of Bartlett on spatial point processes, and covers the point processes of stochastic geometry, including the line and hyperplane processes of Davidson and Krickeberg. The main tool is the decomposition of moment measures pioneered by Krickeberg and Vere-Jones. Finally some practical aspects of the analysis of point processes are discussed.read more
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References
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The statistical analysis of series of events
David Cox,Peter A W Lewis +1 more
TL;DR: This monograph is intended as a survey of some of the problems in theoretical statistics that stem from this sort of data, and has tried to give a simple description, with numerical examples, of the main methods that have been proposed.
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Neuronal Spike Trains and Stochastic Point Processes: II. Simultaneous Spike Trains
TL;DR: The statistical analysis of two simultaneously observed trains of neuronal spikes is described, using as a conceptual framework the theory of stochastic point processes, and the theory presented is illustrated by an application to experimentally obtained data from auditory neurons.
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