On the accurate determination of the clustering hierarchy of galaxies

Details On the accurate determination of the clustering hierarchy of galaxies On the accurate determination of the clustering hierarchy of galaxies

Jul 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apjs...93...65b&link_type=abstract

Astrophysical Journal Supplement Series (ISSN 0067-0049), vol. 93, no. 1, p. 65-71

Statistics

Applications

21

Galactic Clusters, Galactic Structure, Mass Distribution, Spatial Distribution, Graph Theory, Hierarchies, Monte Carlo Method, Statistical Correlation

Scientific paper

Current methods for determining the higher order correlations of the galaxy distributions are almost exclusively based upon moments of cell counts, related to averages of the correlation functions over the cells. We present accurate evaluations of these averages, assuming that the higher order galaxy correlation functions satisfy the hierarchical tree assumption. We also present convenient analytic approximations for practical applications.

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