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Some models and procedures for space-time point processes

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Abstract

A common element in modelling forest fires and earthquakes is the need to develop space-time point process models that can be used to quantify the evolving risk from forest fires (or earthquakes) as a function of time, location, and background factors. This paper is intended as an introduction to space-time point process modelling. It includes brief summaries of the most relevant point process properties, starting from the description and estimation of first and second order moment properties, proceeding to a description of conditional intensity or dynamic models, and ending with an introduction to some of the models and estimation procedures which are currently being used in seismology. A short final section contrasts the modelling problems for seismology and for forest fires.

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Correspondence to David Vere-Jones.

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Vere-Jones, D. Some models and procedures for space-time point processes. Environ Ecol Stat 16, 173–195 (2009). https://doi.org/10.1007/s10651-007-0086-0

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