Bayesian peak-bagging of solar-like oscillators using MCMC: a comprehensive guide
Bayesian peak-bagging of solar-like oscillators using MCMC: a comprehensive guide
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DOI：
10.1051/0004-6361/201015451
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发表时间：
2011-03-01
影响因子：
6.5
通讯作者：
Campante, T. L.
中科院分区：
文献类型：
--
作者：
Handberg, R.;Campante, T. L.
语境。随着美国宇航局开普勒任务的出现，星震学进入了一个新时代。现在可以进行前所未有的质量的长时间连续光度观测，这刺激了许多创新分析工具套件的开发。类太阳振荡的功率谱是有关恒星结构和演化的取之不尽的信息来源。因此，需要稳健的方法来推断单独的振荡模式参数和描述非共振特征的参数，从而使地震解释成为可能。我们提供了使用马尔可夫链蒙特卡罗 (MCMC) 的贝叶斯峰值装袋工具实施的综合指南。除了可以通过贝叶斯定理合并相关先验信息之外，该工具还允许获得每个拟合参数的边际概率密度函数。我们将此工具应用于最近的几个星震数据集，即 HD 49933 的 CoRoT 观测以及 Procyon.Results 活动期间进行的地面观测。所开发的方法不仅在提取振荡频率的传统情况下表现得非常好，而且在突破传统方法难以克服的极限时也表现得非常好。此外，它提供了一种严格的方法来将竞争模型（例如脊识别）与星震数据进行比较。
Context. Asteroseismology has entered a new era with the advent of the NASA Kepler mission. Long and continuous photometric observations of unprecedented quality are now available which have stimulated the development of a number of suites of innovative analysis tools.Aims. The power spectra of solar-like oscillations are an inexhaustible source of information on stellar structure and evolution. Robust methods are hence needed in order to infer both individual oscillation mode parameters and parameters describing non-resonant features, thus making a seismic interpretation possible.Methods. We present a comprehensive guide to the implementation of a Bayesian peak-bagging tool that employs a Markov chain Monte Carlo (MCMC). Besides making it possible to incorporate relevant prior information through Bayes' theorem, this tool also allows one to obtain the marginal probability density function for each of the fitted parameters. We apply this tool to a couple of recent asteroseismic data sets, namely, to CoRoT observations of HD 49933 and to ground-based observations made during a campaign devoted to Procyon.Results. The developed method performs remarkably well at constraining not only in the traditional case of extracting oscillation frequencies, but also when pushing the limit where traditional methods have difficulties. Moreover it provides an rigorous way of comparing competing models, such as the ridge identifications, against the asteroseismic data.