Statistics – Methodology
Scientific paper
Feb 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995apjs...96..429l&link_type=abstract
The Astrophysical Journal Supplement Series (ISSN 0067-0049), vol. 96, no. 2, p. 429-460
Statistics
Methodology
25
Background Noise, Cosmology, Galactic Structure, Methodology, Shapes, Three Dimensional Models, Universe, Bayes Theorem, Dark Matter, Statistical Distributions
Scientific paper
Two-three dimensional shape statistics are introduced to quantify the amount of linelike and plane-like structures in a point distribution. We calculate analytically the expected values of these statistics for a Poisson sample and a Gaussian sample with a power-law two-point correlation function. We construct a Bayesian approach for the significance analysis. Some simple tests have been performed to test the sensitivity of these new statistics to the shape of structures, the density constrast of structure with specified shape the background, and the number of structures in a point distribution. We find the statistics are very useful in detecting filaments and pancakes against background noise, measuring the amount of these structures, and revealing the typical scale of such structure. They can be used to differentiate different galaxy distributions in terms of the shape of structures, and thus constraining models of structure formation. They can also be used to identify filaments and pancakes in a galaxy survey in a quantitative and sytematic manner.
Luo Shan
Vishniac Ethan
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