Distinguishing Different Types of Inhomogeneity in Neyman–Scott Point Processes

T. Mrkvička ()
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T. Mrkvička: University of South Bohemia

Methodology and Computing in Applied Probability, 2014, vol. 16, issue 2, 385-395

Abstract: 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.

Keywords: Bayesian method; Clustering; Growing clusters; Inhomogeneous cluster centers; Inhomogeneous point process; Location dependent scaling; Neyman–Scott point process; Second order intensity reweighted stationarity; Type of inhomogeneity; 62M30 (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s11009-013-9365-4

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