Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 2, Pages 3–8 (Mi vmumm470)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

A model of point configurations given by a semiparametric interaction

P. Ya. Grabarnika, V. V. Shcherbakovb

a Institute of Physical-Chemical and Biological Problems of Soil Science RAS
b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: A model of a point process specified by a density with respect to the Poisson measure is developed. The proposed model is very flexible due to the choice of the interaction function in a semiparametric form. This allows us to simulate point patterns with structure properties of high diversity. Standard analytical properties of the process and its connections with known classes of point processes are discussed.
Key words: spatial point process, Poisson point process, interaction function, conditional intensity function, local stability, cluster and regular point patterns, exponential family of distributions.
Received: 01.09.2010
English version:
Moscow University Mathematics Bulletin, 2012, Volume 67, Issue 2, Pages 47–51
DOI: https://doi.org/10.3103/S0027132212020015
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: P. Ya. Grabarnik, V. V. Shcherbakov, “A model of point configurations given by a semiparametric interaction”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 2, 3–8; Moscow University Mathematics Bulletin, 67:2 (2012), 47–51
Citation in format AMSBIB
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\paper A model of point configurations given by a semiparametric interaction
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\issue 2
\pages 3--8
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\transl
\jour Moscow University Mathematics Bulletin
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\vol 67
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\pages 47--51
\crossref{https://doi.org/10.3103/S0027132212020015}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84870346719}
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    • This publication is cited in the following 1 articles:
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