Mathematics – Probability
Scientific paper
Oct 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apj...333l..41r&link_type=abstract
Astrophysical Journal, Part 2 - Letters (ISSN 0004-637X), vol. 333, Oct. 15, 1988, p. L41-L44.
Mathematics
Probability
35
Cosmology, Galactic Clusters, Interstellar Matter, Probability Distribution Functions, Red Shift, Statistical Analysis, Astronomical Models, Density Distribution, Sky Surveys (Astronomy), Universe
Scientific paper
One statistic which describes the large-scale structure of a density field is the mean area per unit volume of isodensity contour surfaces, computed as a function of threshold density. In a homogeneous, isotropic field, this quantity is equal to twice the mean number of isodensity contour crossings along a line of unit length drawn through the field. When the density and its gradients are independent variables, the number of contour crossings, as a function of threshold density, is proportional to the probability distribution function for the density. Thus, this statistic can distinguish between Gaussian and non-Gaussian distributions of large-scale structure.
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