Statistics – Computation
Scientific paper
Oct 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991mnras.252..319l&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 252, Oct. 1, 1991, p. 319-328.
Statistics
Computation
10
Galactic Clusters, Space Density, Astronomical Models, Computational Astrophysics, Fractals, Monte Carlo Method
Scientific paper
Two very different synthetic distributions - the Levy flight fractal and the Voronoi tesselation - are used to test suggested methods of correcting for the boundaries of a finite sample, and it is shown that the standard method of normalizing pair counts by a Monte Carlo routine is the most accurate and unbiased. This method is applied to the CfA catalog, where the edge-correction makes it possible to extend the estimate of the conditional density beyond that of previous work, by Coleman et al. (1988), to scales comparable to the depths of various volume-limited subsamples. The result is that galaxy distribution crosses over to homogeneity on a scale of roughly 30 Mpc and that on smaller scales the conditional density is a power law with an exponent closer to -1 (as for the Voronoi tesselation) rather than the traditional -1.8.
Lemson Gerard
Sanders Robert H.
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