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人口普查多报估计研究
作者: 胡桂华12, 刘誉环1, 文 婷1
单位: 1. 重庆工商大学 数学与统计学院, 重庆 400067; 2. 重庆工商大学 经济社会应用统计重庆市重点实验室, 重庆 400067
关键词: 政府统计; 人口普查; 抽样调查; 重报; 误报
分类号:C921. 2
出版年,卷(期):页码:2022(03):71-85
摘要:
人口普查不可避免地发生多报, 包括普查目标总体内的重报及目标总体外的误报。线性多报率指标估计量是目前一些国家估计普查多报的主流方法。该方法存在的明显缺陷是未利用辅助变量, 影响抽样估计精度。 针对这一问题, 提出构建比率多报率指标估计量的研究目标。 为实现目标, 采取分层二重抽样、文献解读和现场调查相结合的研究方法。为便于读者理解研究内容, 利用收集的样本普查小区的微观实际数据资料进行实证分析。研究发现: 判断一个人为多报人口的核心标准是不属于目标总体, 而不是地址登记错误; 基于分层二重抽样的比率多报率指标估计量适合于普查多报率估计; 比率多报率指标估计量比线性多报率指标估计量的抽样估计精度要高; 不能忽视普查目标总体外误报人口的存在, 否则会低估普查多报人口数; 不能混淆普查目标总体内的重报和目标总体外误报人员的重报。 研究意义体现在三个方面: 一是建立起一套全新的、具有可操作性的、体现普查多报特点的人口普查多报率指标体系及其估计理论体系, 可改进或完善现行的普查多报估计率理论。二是根据该体系从不同视角对普查多报进行全方位分析, 揭示了普查多报的深层次原因, 为改进下次普查操作方法提供参考依据。三是研究成果有望应用于我国 2030 年人口普查多报估计, 实现科学研究服务于社会需要的目标。

Census overreporting inevitably occurs, including replicate enumerations within the census target population and mistaken reports outside the target population. The linear
overreporting rate indicator estimator is currently the mainstream method for estimating census erroneous enumerations in some countries. An obvious defect of this method is that auxiliary variables are not used, which affects the accuracy of sampling estimation. Aiming
at this problem, the research goal of constructing the estimator of the ratio overreporting index is proposed. In order to achieve the goal, a research method combining stratified double sampling, literature interpretation, and field investigation is adopted. With aim to facilitate readers’ understanding of research contents, empirical analysis is carried out by collected micro-actual data of the sample small census areas. The results show that the core criterion for judging a person’s overreporting population is not belonging to the target population, rather than his or her address registration error. The index estimator of rate
overreporting based on stratified double sampling is suitable for census overreporting rate
estimation. The sampling estimation accuracy of ratio overreporting index estimator is higher than that of linear overreporting index estimator. The existence of mistaken reports outside the census target population should not be ignored, otherwise the overreporting population
will be underestimated. The rereporting within the census target population should not be
confused with the reporting outside the target population. The significance of the research is embodied in three aspects. One is to establish a brand-new, operable, census index indicator system and its estimation theory system of overreporting rate census, which reflects the characteristics of overreporting rate of census, and improve or perfect the current theory of overreporting rate of census. The other is to analyze the overreporting of census from
different perspectives according to this system, which would reveal the deep-seated reasons of overreporting of census, providing a reference for improving the operation method for the next census. The last is that the research results are expected to be applied to the overestimation
of China’s 2030 census, so as to achieve the goal of scientific research serving social needs.
基金项目:
国家社会科学基金后期资助暨优秀博士论文项目 “人口普查登记误差估计” (21FTJB002)。
作者简介:
胡桂华, 重庆工商大学数学与统计学院教授, 博士生导师; 刘誉环, 重庆工商大学数学与统计学院硕士研究生; 文婷, 重庆工商大学数学与统计学院硕士研究生。
参考文献:

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