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arXiv 1509.00201astro-ph.EP
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Transit -深度金属丰度相关性:贝叶斯方法

Transit-Depth Metallicity Correlation: A Bayesian Approach

P. Sarkis, C. Nehme

摘要:

先前有报道称,开普勒Q1-Q12气体巨星候选者的凌日深度与恒星金属丰度之间存在负相关。在目前的工作中,我们重新审视这种相关性,以更好地理解恒星金属丰度在巨行星形成中的作用,特别是,调查的金属丰度对过境深度的影响。我们从累积目录中选择了82颗已确认的巨行星。这是第一个用于研究这种相关性的确认巨行星的大型和均匀样本。这些样本适合进行稳健的统计分析。我们提出了第一个层次贝叶斯线性回归模型来修正这种相关性。使用贝叶斯框架的优点是将测量误差纳入模型中,并量化模型参数的内在分散性和不确定性。我们的统计分析表明,已确认的巨行星的凌日深度与恒星金属丰度之间没有相关性。

英文摘要:

A negative correlation was previously reported between the transit depth of Kepler's Q1-Q12 gas giant candidates and the stellar metallicity. In this present work, we revisit this correlation to better understand the role of the stellar metallicity in the formation of giant planets, in particular, to investigate the effect of the metallicity on the transit depth. We selected the 82 confirmed giant planets from the cumulative catalog. This is the first large and homogeneous sample of confirmed giant planets used to study this correlation. Such samples are suitable to perform robust statistical analysis. We present the first hierarchical Bayesian linear regression model to revise this correlation. The advantages of using a Bayesian framework are to incorporate measurement errors in the model and to quantify both the intrinsic scatter and the uncertainties on the parameters of the model. Our statistical analysis reveals no correlation between the transit depth of confirmed giant planets and the stellar metallicity.

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