Mathematics – Probability
Scientific paper
Aug 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...288...89z&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 288, no. 1, p. 89-96
Mathematics
Probability
5
Distance, Galactic Clusters, Line Of Sight, Red Shift, Velocity, Dynamic Models, Mathematical Models, Maximum Likelihood Estimates, Probability Theory, Statistical Correlation, Statistical Distributions
Scientific paper
On the basis of a reasonable mathematical model, an improved approach for the statistical determination of line-of-sight velocity membership of galaxy clusters is developed, where the maximum likelihood method is used to solve the distribution parameters of the cluster, and then membership probabilities of individual galaxies in the cluster region can be quantitatively calculated. It is shown from detailed membership studies of the Coma cluster and the Virgo cluster that the approach is not only theoretically rigorous but also practically feasible, from which effective discrimation between cluster members and field galaxies in a cluster region can be made very successfully. Furthermore the results of membership determination gained from the approach are in good agreement with what the dynamical model of galaxy clusters requires.
Shao Zh.-Y.
Zhao Jian-Ling
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