Spatial Statistics and Information Geometry for Parametric Statistical Models of Galaxy Clustering |
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Authors: | C. T. J. Dodson |
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Affiliation: | (1) Max-Planck-Institut für Astronomie, Königstuhl 17, D-69117 Heidelberg, Germany |
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Abstract: | Poisson spatial processes of points and ofextended objects representing smoothed clusters ofgalaxies are considered; some results are obtained forplanar representations of random filaments, which may help interpret the findings of the Las CampanasRedshift Survey. Based on a model for the voidprobability function, a family of gamma-relateddistributions is investigated as a three-dimensionalmodel for the clustering of galaxies. The unclusteredmodels in this family correspond to the random case andto maximum information-theoretic entropy. The Riemannianinformation metric and Gaussian curvature are derived for the parameter space of thefamily of models, which provides a background on whichto write dynamics for cluster evolution. |
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