Statistics – Computation
Scientific paper
Nov 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989mnras.241..109s&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 241, Nov. 1, 1989, p. 109-117. Research supported by SE
Statistics
Computation
30
Computational Astrophysics, Probability Distribution Functions, Spheres, Poisson Density Functions, X Ray Sources
Scientific paper
The distribution of nearest neighbor separations of points placed randomly on the surface of a sphere is useful in deciding whether objects in real data are random or occur in pairs. In the past, a Poisson distribution has been used. A more natural spherical analysis of this problem, obtaining the probability distribution function and the mean separation of random points, is presented. It is shown that for a large number of points this distribution is equivalent to the Poisson form and can be extended to give the 2nd and Mth nearest neighbor distributions. To illustrate the application to astronomical data, the distribution of X-ray clusters, which are found to occur in pairs, is considered.
Scott Douglas
Tout Christopher A.
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