论文标题
在存在选择效果的情况下，推断紧凑型二进制群的特性
Inferring the properties of a population of compact binaries in presence of selection effects
论文作者
论文摘要
在发现新的对象之后不久，注意力从单个来源的特性转变为其起源问题：所有来源都来自同一基础人群，还是需要几个人群？这些人群的特性是什么？随着引力波的检测变得常规，事件目录的大小增加，现在掌握了紧凑型二进制文件的天体物理分布的细节，现在已经在我们的掌握范围内。本章介绍了这些分析所需的主要统计工具的教学介绍：在存在选择效果的情况下，分层贝叶斯推断。所有关键方程都是从第一原则获得的，其次是两个增加复杂性的示例。尽管本章中发表了许多言论是指重力波天文学，但文章对来自其他领域的研究人员和研究生很有用。
Shortly after a new class of objects is discovered, the attention shifts from the properties of the individual sources to the question of their origin: do all sources come from the same underlying population, or several populations are required? What are the properties of these populations? As the detection of gravitational waves is becoming routine and the size of the event catalog increases, finer and finer details of the astrophysical distribution of compact binaries are now within our grasp. This Chapter presents a pedagogical introduction to the main statistical tool required for these analyses: hierarchical Bayesian inference in the presence of selection effects. All key equations are obtained from first principles, followed by two examples of increasing complexity. Although many remarks made in this Chapter refer to gravitational-wave astronomy, the write-up is generic enough to be useful to researchers and graduate students from other fields.
