Spatial statistics and information geometry for parametric statistical models of galaxy clustering.

Details Spatial statistics and information geometry for parametric statistical models of galaxy clustering. Spatial statistics and information geometry for parametric statistical models of galaxy clustering.

Oct 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999ijtp...38.2581d&link_type=abstract

International Journal of Theoretical Physics, Vol. 38, No. 10, p. 2581 - 2593

Statistics

Galaxy Clustering: Statistics

Scientific paper

Poisson spatial processes of points and of extended objects representing smoothed clusters of galaxies are considered; some results are obtained for planar representations of random filaments, which may help interpret the findings of the Las Campanas Redshift Survey. Based on a model for the void probability function, a family of gamma-related distributions is investigated as a three-dimensional model for the clustering of galaxies. The unclustered models in this family correspond to the random case and to maximum information-theoretic entropy. The Riemannian information metric and Gaussian curvature are derived for the parameter space of the family of models, which provides a background on which to write dynamics for cluster evolution.

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