论文标题
安静的太阳电子密度及其不确定性来自光谱发射线强度
Quiet Sun electron densities and their uncertainties derived from spectral emission line intensities
论文作者
论文摘要
本文的目的是应用统计方法来确定电子密度及其错误，从静静太阳中密度敏感线强度的测量中得出错误。采用了三种方法。首先是使用L功能图来快速视觉评估一组线强度可以提供这些数量的强大估计值的可能性。第二种方法涉及卡方最小化，以及确定统计置信区域的处方，除了最合适的值之外。第三种方法使用贝叶斯推理技术，该推理技术采用了蒙特卡洛马尔可夫链（MCMC）计算，从中分析后验分布提供了对高概率密度的平均值和区域的估计。使用这三种方法，已经分析了源自宁静太阳区域的极端脉冲光谱线的观察。定量卡方最小化和MCMC采样通常可以很好地一致，尤其是对于具有L功能图的一组离子线，表明可能有强大的分析。
The goal of this paper is to apply statistical methods to determine electrons densities and their errors from measurements of density-sensitive line intensities in the quiet Sun. Three methods are employed. The first is the use of L-function plots to provide a quick visual assessment of the likelihood that a set of line intensities can provide a robust estimate of these quantities. A second methods involves a chi-squared minimization together with a prescription for determining the regions of statistical confidence in addition to the best-fitting value. A third method uses a Bayesian inference technique that employs a Monte-Carlo Markov-chain (MCMC) calculation from which an analysis of the posterior distributions provide estimates of the mean and regions of high probability density. Using these three methods, observations of extreme-ultraviolet spectral lines originating from regions of the quiet Sun have been analyzed. The quantitative chi-squared minimization and MCMC sampling provide results that are generally in good agreement, especially for sets of lines of ions that have L-function plots that suggest that a robust analysis might be possible.
