推断存在选择效应下的致密双星种群性质
Inferring the properties of a population of compact binaries in presence of selection effects
AI总结：
研究探讨在存在选择效应的情况下，如何通过层次贝叶斯推断分析致密双星种群的起源与性质，通过两个复杂示例展示核心方法和贡献。
摘要：
在新类天体被发现后，关注点从单个源的性质转向其起源：这些源是否来自同一底层种群，还是需要多个种群？这些种群的性质是什么？随着引力波检测变得常规且事件目录规模增大，我们能够更深入地了解致密双星的天体物理分布。本章提供了一种统计工具的入门介绍：在存在选择效应的情况下进行层次贝叶斯推断。所有关键方程均从基本原理推导，随后通过两个逐渐复杂示例进行说明。尽管许多评论都指向引力波天文学，但本概述足够通用，对其他领域的研究人员和研究生也有帮助。
英文摘要：
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.
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。
