Cluster spatial point process models for cosmological applications¹

Article type: Research Article

Authors: Mateu, J.^{; *} | Lopez, J.A.

Affiliations: Department of Mathematics, Campus Riu Sec, University Jaume I, E-12071 Castellón, Spain

Correspondence: [*] Corresponding author. Fax: +34 964 728429; E-mail: mateu@mat.uji.es.

Note: [1] This work is supported by grants BFM2001-3286 and P1.1B2000-10.

Abstract: Spatial point process models provide a large variety of complex patterns to model particular clustered situations. Due to model complexity, spatial statistics often relies on simulation methods, such as Markov chain Monte Carlo (MCMC) which draws approximate samples of the target distribution as the equilibrium distribution of a Markov chain. In this paper, we focus on point field models that have been used as particular models of galaxy clustering in both cosmology and spatial statistics. We thus select several cluster models and focus on the cluster random model. We provide an extensive simulation study to analyze their flexibility for cluster modelling, under a large variety of practical situations.

Keywords: Cluster processes, cosmological point processes, spatial statistics

DOI: 10.3233/JCM-2005-5201

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 5, no. 2, pp. 115-139, 2005