Constraining Coronal Heating: Employing Bayesian Analysis Techniques to Improve the Determination of Solar Atmospheric Plasma Parameters
Constraining Coronal Heating: Employing Bayesian Analysis Techniques to Improve the Determination of Solar Atmospheric Plasma Parameters
复制标题
约束日冕加热：采用贝叶斯分析技术改进太阳大气等离子体参数的测定
DOI：
10.1007/s11207-009-9498-3
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发表时间：
2010
期刊：
影响因子：
2.8
通讯作者：
Adamakis S
中科院分区：
文献类型：
--
作者：
Adamakis S
揭示日冕加热机制的性质的一种方法是通过比较简单的理论一维流体静力环模型与沿着这些特征的温度和/或密度结构的观测。处理这种比较的最著名的方法是χ 2方法。在本文中，我们认为这种方法所施加的限制，并提出了一种替代方法，使模型比较使用贝叶斯统计。为了量化我们的信念，我们使用贝叶斯因子和信息标准，如AIC和BIC。使用上述方法重新分析了两个数据集（Ugarte-Urraet al.2005; Priestet al.2000）。对于Ugarte-Urraet等人的数据集，（2005），我们得出的结论是顶点主导加热作为可能的加热候选人，而Priestet等人的数据集。（2000）意味着基础加热。请注意，这些新结果与使用卡方统计量获得的结果不同。为此，我们建议，应适当使用经典和贝叶斯统计，以作出安全的假设日冕加热机制的性质。
One way of revealing the nature of the coronal heating mechanism is by comparing simple theoretical one-dimensional hydrostatic loop models with observations at the temperature and/or density structure along these features. The most well-known method for dealing with comparisons like that is theχ2approach. In this paper we consider the restrictions imposed by this approach and present an alternative way for making model comparisons using Bayesian statistics. In order to quantify our beliefs we use Bayes factors and information criteria such as AIC and BIC. Two datasets (Ugarte-Urraet al.2005; Priestet al.2000) are reanalyzed using the method described above. For the dataset of Ugarte-Urraet al.(2005), we conclude to apex dominant heating as the likely heating candidate, whereas the dataset of Priestet al.(2000) implies basal heating. Note that these new results are different from those obtained using the chi-squared statistic. For this we suggest that proper usage of Classical and Bayesian statistics should be applied in order to make safe assumptions about the nature of the coronal heating mechanisms.