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arXiv 1102.2068astro-ph.SRastro-ph.IM
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弱场近似下太阳和恒星磁场的贝叶斯推断

Bayesian inference of solar and stellar magnetic fields in the weak-field approximation

A. Asensio Ramos

摘要:

弱场近似是最简单的模型之一,它使我们能够将观测到的塞曼效应引起的极化与感兴趣的等离子体上的磁场矢量联系起来。它通常用于诊断太阳和恒星大气中的磁场。提出了一种完全贝叶斯方法来推断未分辨结构中的磁性。得到了边缘后验分布的解析表达式,由此可以得到模型参数的统计相关信息。先验信息的作用进行了讨论,并提出了一个层次的程序,给出了强大的结果,几乎是不敏感的精确选举的前。的强度的形式主义证明通过应用程序的IMaX数据。贝叶斯方法可以最佳地利用从滤光片偏振仪的光谱信息的稀缺性相比,光谱偏振仪的数据。详细分析了噪声的影响及其如何降低我们从Stokes轮廓提取信息的能力。

英文摘要:

The weak-field approximation is one of the simplest models that allows us to relate the observed polarization induced by the Zeeman effect with the magnetic field vector present on the plasma of interest. It is usually applied for diagnosing magnetic fields in the solar and stellar atmospheres. A fully Bayesian approach to the inference of magnetic properties in unresolved structures is presented. The analytical expression for the marginal posterior distribution is obtained, from which we can obtain statistically relevant information about the model parameters. The role of a-priori information is discussed and a hierarchical procedure is presented that gives robust results that are almost insensitive to the precise election of the prior. The strength of the formalism is demonstrated through an application to IMaX data. Bayesian methods can optimally exploit data from filter-polarimeters given the scarcity of spectral information as compared with spectro-polarimeters. The effect of noise and how it degrades our ability to extract information from the Stokes profiles is analyzed in detail.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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