Statistics – Computation
Scientific paper
Feb 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...403..450g&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 403, no. 2, p. 450-465.
Statistics
Computation
46
Evolution (Development), Galactic Clusters, Statistical Analysis, Universe, Computational Astrophysics, Density Distribution, Red Shift, Spatial Distribution
Scientific paper
The statistical distribution of fluctuations on various scales is analyzed in terms of the counts in cells of smoothed density fields, using volume-limited samples of galaxy redshift catalogs. It is shown that the distribution on large scales, with volume average of the two-point correlation function of the smoothed field less than about 0.05, is consistent with Gaussian. Statistics are shown to agree remarkably well with the negative binomial distribution, which has hierarchial correlations and a Gaussian behavior at large scales. If these observed properties correspond to the matter distribution, they suggest that our universe started with Gaussian fluctuations and evolved keeping hierarchial form.
Gaztanaga Enrique
Yokoyama Jun'ichi
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