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Approximating the moments of a spatial point process
Author(s) -
Baddeley Adrian,
Nair Gopal
Publication year - 2012
Publication title -
stat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.61
H-Index - 18
ISSN - 2049-1573
DOI - 10.1002/sta4.5
Subject(s) - point process , poisson distribution , poisson point process , point (geometry) , mathematics , poisson process , process (computing) , method of moments (probability theory) , statistical physics , computer science , physics , statistics , geometry , operating system , estimator
We propose a “Poisson‐saddlepoint” approximation to the first and second moments of a spatial point process of Gibbs type. In the examples studied, the approximation is accurate, and fast to compute. We demonstrate applications to data analysis and simulation. Copyright © 2012 John Wiley & Sons, Ltd.