排序下PPS抽样估计量的修正与应用

Modification and Application of PPS Sampling Estimator under the Order of Rank

受许多事物具有齐夫现象的启发,本文提出了排序后PPS抽样方法,并给出了修正汉森-赫维茨估计量及其方差。在此过程中本文解决了,长期以来抽样调查实践中将重要单元直接入样时,多少重要单元直接入样没有明确方法的问题,本文给出了理论依据和具体的确定方法。最后通过一个例子和中国城市人口抽样调查的案例,展示了修正汉森-赫维茨估计量的优势,并对这一研究方法做了总结和展望。

Inspired by many things with Zipf phenomenon,this paper presents a modified HansenHurwitz estimator and its variance.In the process,this paper solved the problem that sampling investigation practice for a long time will be the most important unit directly into the sample and how much the most important unit directly into the sample is no clear method.This paper gives the theoretical basis and specific method for determining.Finally,through an example and a case study of China’s urban population sampling survey,the advantage of the modified Hansen-Hurwitz estimator was demonstrated,and the research method was summarized and forecasted.