Distinguishing different types of inhomogeneity in Neyman-Scott point processes

0428800 - BC 2015 RIV US eng J - Článek v odborném periodiku
Mrkvička, Tomáš
Distinguishing different types of inhomogeneity in Neyman-Scott point processes.
Methodology and Computing in Applied Probability. Roč. 16, č. 2 (2014), s. 385-395. ISSN 1387-5841. E-ISSN 1573-7713
Institucionální podpora: RVO:60077344
Klíčová slova: clustering * growing clusters * inhomogeneous cluster centers * inhomogeneous point process * location dependent scaling * Neyman-Scott point process
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.913, rok: 2014

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.
Trvalý link: http://hdl.handle.net/11104/0234705