Bayesian hierarchical modelling of initial–final mass relations acrossstar clusters
Bayesian hierarchical modelling of initial–final mass relations acrossstar clusters
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DOI：
10.1093/mnras/sty1913
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发表时间：
2018-06
影响因子：
4.8
通讯作者：
Shijing Si;T. Hippel;E. Robinson;E. Jeffery;D. Stenning;D. V. Dyk
中科院分区：
文献类型：
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作者：
Shijing Si;T. Hippel;E. Robinson;E. Jeffery;D. Stenning;D. V. Dyk
白色矮星的初终质量关系在恒星演化中起着重要的作用。为了得到IFMR的精确估计并探索它们在星星集群之间可能如何变化，我们提出了一个贝叶斯分层模型，该模型汇集了来自多个星星集群的照片度量数据。在进行模拟研究以显示贝叶斯分层模型的优点之后，我们将该模型应用于五个星星星团：毕宿五，M67，NGC 188，NGC 2168和NGC 2477，导致这些星团的IFMR的合理和一致的估计。我们说明了如何使用自己的光度数据的NGC 188的集群特定的分析可以产生一个不合理的IFMR，因为它的WD有一个狭窄的范围内的零年龄主序（ZAMS）的群众。然而，贝叶斯分层模型通过从其他聚类中挖掘强度来校正聚类特异性分析，从而生成更可靠的IFMR参数估计值。数据分析表明，贝叶斯分层建模优于传统的集群特定方法，这促使我们在本文中详细阐述了强大的统计技术。
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 photo- metric 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 clus- ters: 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 bor- rowing 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 pow- erful statistical techniques in this article.