Imperial College London
Portrait Picture

Professor David van Dyk

Faculty of Natural Sciences, Department of Mathematics

Chair in Statistics
 
 
 
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Contact

 

+44 (0)20 7594 8574d.van-dyk Website

 
 
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Assistant

 

Mr David Whittaker +44 (0)20 7594 8481

 
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Location

 

539Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Si:2018:mnras/sty1913,
author = {Si, S and van, Dyk D and von, Hippel T and Robinson, E and Jeffery, E and Stenning, DC},
doi = {mnras/sty1913},
journal = {Monthly Notices of the Royal Astronomical Society},
pages = {1300--1321},
title = {Bayesian hierarchical modelling of initial-final mass relations across star clusters},
url = {http://dx.doi.org/10.1093/mnras/sty1913},
volume = {480},
year = {2018}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - 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.
AU  - Si,S
AU  - van,Dyk D
AU  - von,Hippel T
AU  - Robinson,E
AU  - Jeffery,E
AU  - Stenning,DC
DO  - mnras/sty1913
EP  - 1321
PY  - 2018///
SN  - 0035-8711
SP  - 1300
TI  - Bayesian hierarchical modelling of initial-final mass relations across star clusters
T2  - Monthly Notices of the Royal Astronomical Society
UR  - http://dx.doi.org/10.1093/mnras/sty1913
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000442567900086&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/62223
VL  - 480
ER  -
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