对相对贫困线以下人口比例的认识和推断
Insights and inference for the proportion below the relative poverty line
摘要：
我们研究了一个常用的相对贫困指标，称为人数比（$H_p$），定义为收入低于相对贫困线的比例，定义为收入中位数的一小部分$p$。我们这样做，考虑这个概念的理论收入人口，其潜力，以确定实际变化后，收入从富人转移到那些收入低于相对贫困线。在这个过程中，我们推导和评估性能的大样本置信区间$H_p$。最后，我们说明了真实收入数据集的估计。
英文摘要：
We examine a commonly used relative poverty measure called the headcount ratio ($H_p$), defined to be the proportion of incomes falling below the relative poverty line, which is defined to be a fraction $p$ of the median income. We do this by considering this concept for theoretical income populations, and its potential for determining actual changes following transfer of incomes from the wealthy to those whose incomes fall below the relative poverty line. In the process we derive and evaluate the performance of large sample confidence intervals for $H_p$. Finally, we illustrate the estimators on real income data sets.
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