Note on the Approximation of the Conditional Intensity of Non-stationary Cluster Point Processes

Authors

  • Edith Gabriel INRAE - French National Research Institute for Agriculture, Food and the Environment https://orcid.org/0000-0002-3712-7270
  • Joel Chadoeuf INRAE - French National Research Institute for Agriculture, Food and the Environment

DOI:

https://doi.org/10.5566/ias.2653

Keywords:

conditional intensity, Neyman-Scott process, point process

Abstract

In this note we consider non-stationary cluster point processes and we derive their local intensity, i.e. the intensity of the process given the locations of one or more events of the process. We then provide some approximations of this local intensity.

Author Biography

Edith Gabriel, INRAE - French National Research Institute for Agriculture, Food and the Environment

 

 

References

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Gabriel E, Coville J, Chadœuf J (2017). Estimating the intensity function of spatial point processes outside the observation window. Spat Stat 22(2):225-39.

Gabriel E, Rodriguez–Cortes F, Coville J, Mateu J, Chadœuf J (2022). Mapping the intensity function of a non-stationary point process in unobserved areas. Stoch Environ Res Risk Assess https://doi.org/10.1007/s00477-022-02304-0

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Published

2022-11-30

How to Cite

Gabriel, E., & Chadoeuf, J. (2022). Note on the Approximation of the Conditional Intensity of Non-stationary Cluster Point Processes. Image Analysis and Stereology, 41(3), 229–233. https://doi.org/10.5566/ias.2653

Issue

Section

Short Research Communication