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Environmental and Ecological Statistics

, Volume 16, Issue 2, pp 173–195 | Cite as

Some models and procedures for space-time point processes

  • David Vere-Jones
Article

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.

Keywords

Earthquake models Forest-fire models Space-time processes Pointprocess prediction Second moments 

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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Victoria University and Statistical Research Associates, Ltd.WellingtonNew Zealand

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