用辐射转移模式寻找具有大量面外尘埃的边缘星系:EON_10.477_41.954(FGC 79)模型参数Uncensored的确定
Seeking Edge-on Galaxies with Substantial Extraplanar Dust Using a Radiative Transfer Model: Determination of the Model Parameter Uncertainties for EON_10.477_41.954 (FGC 79)
摘要:
我们重新访问了目标EON_10.477_41.954,以便更准确地确定对目标分类很重要的模型参数中的不确定性(即,有或没有大量的面外尘埃的星系)。我们进行了马尔可夫链蒙特卡罗(MCMC)分析的15个参数的三维辐射传输星系模型,我们以前使用的目标分类。为了研究MCMC抽样的收敛性-这在文献中通常被忽略,但不应该被忽略-我们监测了综合自相关时间($τ_{int}$),并且我们为所有模型参数实现了有效样本大小$>5,650$。置信区间在迭代开始时是不稳定的,此时$τ_{int}$的值正在增加,但在稍后的迭代中变得稳定,此时这些值几乎不变。最终的置信区间比我们之前研究中使用的标称不确定度(三个最佳拟合结果的标准差)大$\sim5-100$倍。因此,这些名义不确定性不是模型参数不确定性的良好替代。虽然与我们以前的研究相比,EON_10.477_41.954在目标分类图中的位置(灰尘的尺度高度与直径之比与光源的尺度高度与直径之比)下降了约$20-30$ %,但它属于“高组”--即,在有大量面外尘埃的星系中-
英文摘要:
We have revisited the target EON_10.477_41.954 in order to determine more accurately the uncertainties in the model parameters that are important for target classification (i.e., galaxies with or without substantial extraplanar dust). We performed a Markov-Chain Monte Carlo (MCMC) analysis for the fifteen parameters of the three-dimensional radiative-transfer galaxy model we used previously for target classification. To investigate the convergence of the MCMC sampling---which is usually neglected in the literature but should not be---we monitored the integrated autocorrelation time ($τ_{int}$), and we achieved effective sample sizes $>5,650$ for all the model parameters. The confidence intervals are unstable at the beginning of the iterations where the values of $τ_{int}$ are increasing, but they become stable in later iterations where those values are almost constant. The final confidence intervals are $\sim5-100$ times larger than the nominal uncertainties used in our previous study (the standard deviation of three best-fit results). Thus, those nominal uncertainties are not good proxies for the model-parameter uncertainties. Although the position of EON_10.477_41.954 in the target-classification plot (the scale-height to diameter ratio of dust vs that of light-source) decreases by about $20-30$ % when compared to our previous study, its membership in the ``high-group''---i.e., among galaxies with substantial extraplanar dust---nevertheless remains unchanged.
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