Void probability as a function of the void's shape and scale-invariant models

Details Void probability as a function of the void's shape and scale-invariant models Void probability as a function of the void's shape and scale-invariant models

Jan 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992mnras.254..247e&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 254, Jan. 15, 1992, p. 247-256. Research supported by C

Mathematics

Probability

13

Galactic Clusters, Probability Theory, Star Distribution, Universe, Voids, Anisotropy, Phenomenology, Red Shift, Scale Models, Statistical Distributions

Scientific paper

The dependence of counts in cells on the shape of the cell for the large scale galaxy distribution is studied. A very concrete prediction can be done concerning the void distribution for scale invariant models. The prediction is tested on a sample of the CfA catalog, and good agreement is found. It is observed that the probability of a cell to be occupied is bigger for some elongated cells. A phenomenological scale invariant model for the observed distribution of the counts in cells, an extension of the negative binomial distribution, is presented in order to illustrate how this dependence can be quantitatively determined. An original, intuitive derivation of this model is presented.

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