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Distinguishing Different Types of Inhomogeneity in Neyman–Scott Point Processes

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Abstract

In this paper we introduce a graphical and formal approach to distinguishing different typed of inhomogeneity on Neyman–Scott point processes. The assumed types of inhomogeneity are (1) inhomogeneous cluster centers, (2) second order intensity reweighted stationarity, (3) location dependent scaling and a new type (4) growing clusters. The performance of the method is studied via a simulation study. This work has been motivated and illustrated by ecological studies of the spatial distribution of fish in an inland reservoir.

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Authors and Affiliations

  1. Department of Applied Mathematics and Informatics, Faculty of Economics, University of South Bohemia, Studentská 13, 37005, České Budějovice, Czech Republic

    T. Mrkvička

  2. Institute of Hydrobiology, Biology Center of the Academy of Sciences of the Czech Republic, Na Sádkách 7, 370 05, České Budějovice, Czech Republic

    T. Mrkvička

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  1. T. Mrkvička
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Correspondence to T. Mrkvička.

Additional information

The work was supported by the Grant Agency of the Czech Republic, Project No. P201/10/0472. The access to the MetaCentrum computing facilities, provided under the programme “Projects of Large Infrastructure for Research, Development, and Innovations” LM2010005 funded by the Ministry of Education, Youth, and Sports of the Czech Republic, is acknowledged.

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Mrkvička, T. Distinguishing Different Types of Inhomogeneity in Neyman–Scott Point Processes. Methodol Comput Appl Probab 16, 385–395 (2014). https://doi.org/10.1007/s11009-013-9365-4

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  • DOI: https://doi.org/10.1007/s11009-013-9365-4

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