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Comparing Parametric and Nonparametric Statistical Methods for Studying the Velocity Distributions of Population I Stars

Published online by Cambridge University Press:  07 August 2017

F. Arenou  and
M. L. Bougeard
F. Arenou
Affiliation:
URA D0335 CNRS, Observatoire de Paris-Meudon F-92195 Meudon, France
M. L. Bougeard
Affiliation:
URA 1125 CNRS: I.E.R.S., Observatoire de Paris 61 Av. de l'Observatoire, F-75014 Paris, France

Abstract

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This Paper investigates population I star samples from the viewpoint of the velocity distributions, each being viewed as a mixture. To obtain information on the class centers, clustering techniques are first applied. Secondly, we use a parametric maximum likelihood formulation that we solve by Redner-Walker's E.M. algorithm. The obtained results are compared and discussed from an astrophysical viewpoint.

Keywords

velocity distributionmixturesclustersE.M. algorithm
Type
Impact on Astrophysics
Information
Symposium - International Astronomical Union , Volume 156: Developments in Astrometry and their Impacts on Astrophysics , 1993 , pp. 265 - 269
Copyright
Copyright © Kluwer 

References

Bougeard, M.L., Arenou, F., 1990: in Errors, Biais, Uncertainties in Astronomy , Cambridge Press, 277–280 Google Scholar
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Gómez, A.E., Delhaye, J., Grenier, S., Jaschek, C., Arenou, F., Jaschek, M., 1990, Astron. Astrophys. 236, 95 Google Scholar
Hand, D.J., 1981, Discrimination and classification , N. York, J. Wiley Google Scholar
Redner, Walker, 1984, S.I.A.M. , 26 n°2, 195–239 Google Scholar