A non-parametric approach to the membership problem in open clusters

Details A non-parametric approach to the membership problem in open clusters A non-parametric approach to the membership problem in open clusters

Aug 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990a%26a...235...94c&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 235, no. 1-2, Aug. 1990, p. 94-102. Research supported by the Research and Edu

Statistics

Computation

31

Computational Astrophysics, Galactic Structure, Open Clusters, Astronomical Photometry, Color-Magnitude Diagram, Kinematics, Nonparametric Statistics, Probability Density Functions, Radial Velocity, Stellar Motions

Scientific paper

The problems derived from the use of the Vasilevskis-Sanders method for obtaining membership probabilities in the vicinity of an open cluster are discussed. Some of the difficulties outlined can be bypassed employing a nonparametric model for the distributionsof the cluster and field stars. This allows for the posing of less restrictive astronomical hypothesis than assumed in the Vasilevskis model. In this manner, no assumption has been made either on the physical nature of the involved variables or on their statistical properties but the heterocedasticity of the populations. This allows the use of different sets of variables, such as multicolor photometry, radial velocities, and proper motions, to accomplish the same goal. Proper motions and positions are the variables selected in this study. The spatial data are introduced in order to enlarge the statistical distance between both populations. As an example of the application of this method the probable physical members of the cluster NGC 2420 have been determined. A sample of 282 stars observed by Cannon and Lloyd (1970) forms the input data. In this way a very clean color-magnitude diagram for this cluster has been obtained.

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