Bayesian hierarchical modelling of initial-final mass relations across star clusters

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Title: Bayesian hierarchical modelling of initial-final mass relations across star clusters
Authors: Si, S
Van Dyk, DA
Von Hippel, T
Robinson, E
Jeffery, E
Stenning, DC
Item Type: Journal Article
Abstract: The initial–final mass relation (IFMR) of white dwarfs (WDs) plays an important role in stellar evolution. To derive precise estimates of IFMRs and explore how they may vary among star clusters, we propose a Bayesian hierarchical model that pools photometric data from multiple star clusters. After performing a simulation study to show the benefits of the Bayesian hierarchical model, we apply this model to five star clusters: the Hyades, M67, NGC 188, NGC 2168, and NGC 2477, leading to reasonable and consistent estimates of IFMRs for these clusters. We illustrate how a cluster-specific analysis of NGC 188 using its own photometric data can produce an unreasonable IFMR since its WDs have a narrow range of zero-age main sequence (ZAMS) masses. However, the Bayesian hierarchical model corrects the cluster-specific analysis by borrowing strength from other clusters, thus generating more reliable estimates of IFMR parameters. The data analysis presents the benefits of Bayesian hierarchical modelling over conventional cluster-specific methods, which motivates us to elaborate the powerful statistical techniques in this paper.
Issue Date: 1-Oct-2018
Date of Acceptance: 16-Jul-2018
URI: http://hdl.handle.net/10044/1/62223
DOI: https://dx.doi.org/10.1093/mnras/sty1913
ISSN: 0035-8711
Publisher: Oxford University Press (OUP)
Start Page: 1300
End Page: 1321
Journal / Book Title: Monthly Notices of the Royal Astronomical Society
Volume: 480
Issue: 1
Copyright Statement: © 2018 The Author(s). Published by Oxford University Press on behalf of the Royal Astronomical Society.
Keywords: Science & Technology
Physical Sciences
Astronomy & Astrophysics
methods: statistical
techniques: photometric
methods: data analysis
globular clusters: individual
COLOR-MAGNITUDE DIAGRAMS
M35 NGC 2168
WHITE-DWARFS
STELLAR EVOLUTION
HYADES
AGE
CALIBRATION
PARAMETERS
PHOTOMETRY
DISTANCE
astro-ph.SR
62P35
0201 Astronomical And Space Sciences
Publication Status: Published
Online Publication Date: 2018-07-19
Appears in Collections:Mathematics
Statistics
Faculty of Natural Sciences



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