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BAYESIAN ANALYSIS OF TWO STELLAR POPULATIONS IN GALACTIC GLOBULAR CLUSTERS I: STATISTICAL AND COMPUTATIONAL METHODS

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Title: BAYESIAN ANALYSIS OF TWO STELLAR POPULATIONS IN GALACTIC GLOBULAR CLUSTERS I: STATISTICAL AND COMPUTATIONAL METHODS
Authors: Stenning, D
Wagner-Kaiser, R
Robinson, E
Van Dyk, DA
Von Hippel, T
Sarajedini, A
Stein, N
Item Type: Journal Article
Abstract: We develop a Bayesian model for globular clusters composed of multiple stellar populations, extending earlier statistical models for open clusters composed of simple (single) stellar populations (e.g., van Dyk et al. 2009; Stein et al. 2013). Specifically, we model globular clusters with two populations that differ in helium abundance. Our model assumes a hierarchical structuring of the parameters in which physical properties—age, metallicity, helium abundance, distance, absorption, and initial mass—are common to (i) the cluster as a whole or to (ii) individual populations within a cluster, or are unique to (iii) individual stars. An adaptive Markov chain Monte Carlo (MCMC) algorithm is devised for model fitting that greatly improves convergence relative to its precursor non-adaptive MCMC algorithm. Our model and computational tools are incorporated into an open-source software suite known as BASE-9. We use numerical studies to demonstrate that our method can recover parameters of two-population clusters, and also show model misspecification can potentially be identified. As a proof of concept, we analyze the two stellar populations of globular cluster NGC 5272 using our model and methods. (BASE-9 is available from GitHub: https://github.com/argiopetech/base/releases).
Issue Date: 20-Jul-2016
Date of Acceptance: 19-Apr-2016
URI: http://hdl.handle.net/10044/1/31928
DOI: https://dx.doi.org/10.3847/0004-637X/826/1/41
ISSN: 1538-4357
Publisher: American Astronomical Society
Journal / Book Title: Astrophysical Journal
Volume: 826
Copyright Statement: ©2016 IOP Publishing Ltd.
Sponsor/Funder: The Royal Society
Commission of the European Communities
Commission of the European Communities
Funder's Grant Number: WM110023
FP7-PEOPLE-2012-CIG-321865
691164
Keywords: Science & Technology
Physical Sciences
Astronomy & Astrophysics
globular clusters: general
globular clusters: individual (NGC 5272)
methods: data analysis
methods: statistical
COLOR-MAGNITUDE DIAGRAMS
MILKY-WAY
OMEGA-CENTAURI
EVOLUTION
PARAMETERS
AGES
NGC-2808
CATALOG
HALO
0201 Astronomical And Space Sciences
0305 Organic Chemistry
0306 Physical Chemistry (Incl. Structural)
Publication Status: Published
Article Number: 41
Appears in Collections:Mathematics
Statistics
Faculty of Natural Sciences



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