Characterizing the Observation Bias in Gravitational-wave Detections and Finding Structured Population Properties
Characterizing the Observation Bias in Gravitational-wave Detections and Finding Structured Population Properties
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DOI：
10.3847/1538-4357/ac27ac
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发表时间：
2021-05
期刊：
影响因子：
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通讯作者：
D. Veske;I. Bartos;Z. Márka;S. M'arka
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文献类型：
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作者：
D. Veske;I. Bartos;Z. Márka;S. M'arka
引力波（GW）探测中观测到的源属性分布由于探测中的选择效应和探测标准而存在偏差，类似于马姆奎斯特偏差。在这项工作中，这种观察偏差通过其基本的统计和物理起源进行了调查。推导了一种有效的半解析公式进行估计，该公式与数值模拟的标准方法一样准确，而计算成本仅为百万分之一。然后，估计的偏差用于对二元黑洞群体进行未建模的推论。这些推论显示了额外的结构，特别是在二元质量∼10 M ⊙和∼30 M ⊙周围的联合质量分布中的两个峰值。示例即用脚本和为此方法生成的一些数据集在在线存储库中共享。
The observed distributions of the source properties from gravitational-wave (GW) detections are biased due to the selection effects and detection criteria in the detections, analogous to the Malmquist bias. In this work, this observation bias is investigated through its fundamental statistical and physical origins. An efficient semi-analytical formulation for its estimation is derived, which is as accurate as the standard method of numerical simulations, with only a millionth of the computational cost. Then, the estimated bias is used for unmodeled inferences on the binary black hole population. These inferences show additional structures, specifically two peaks in the joint mass distribution around binary masses ∼10 M ⊙ and ∼30 M ⊙. Example ready-to-use scripts and some produced data sets for this method are shared in an online repository.