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Mixture Models for Studying Stellar Populations: Bivariate Relationships and Posterior Mixing Proportions Applicable to the Thick-Disk Problem

Published online by Cambridge University Press:  07 August 2017

James M. Nemec
Affiliation:
Program in Astronomy Washington State University Pullman, WA 99164-3112 USA
Amanda F. Linnell Nemec
Affiliation:
International Statistics and Research Corp. P.O. Box 496, Brentwood Bay British Columbia, VOS 1A0 Canada

Abstract

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Finite mixture models provide a useful framework for analysing the overlapping spatial, kinematical, chemical, and age distributions of stellar populations. In this paper, the age-metallicity relationship is used to illustrate the properties of bivariate mixture distributions. The interpretation of bivariate scatter plots and ‘binning’ diagrams is discussed, and population membership is examined by computing posterior mixing proportions.

Type
I. The Stellar Populations in the Milky Way
Copyright
Copyright © Kluwer 

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