Statistics – Computation
Scientific paper
Oct 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...380...24c&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 380, Oct. 10, 1991, p. 24-29. Research supported by DOE and Alexander von H
Statistics
Computation
21
Galactic Clusters, Galactic Structure, Statistical Correlation, Computational Astrophysics, Probability Theory, Universe
Scientific paper
Relations among galaxy correlation functions, counts, moments, and fractal dimensions are explored. Possible scaling behavior is tested using counts, or factorial moments in cells of variable size. Exact relations between density and cumulant moments are given, suggesting alternative methods to investigate the texture of galaxy distributions. The results of the hierarchical, or linked-pair, approximation expressing higher order cumulations in terms of products of two-particle cumulants are discussed. This hypothesis is shown to be closely connected to the negative binomial distribution, when suitable coefficients are chosen. The same correlation structures are found to work for hadronic multiplicity distributions in high-energy collisions and for galaxies.
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