一种新的πPS抽样方案

A new method for πPS sampling

πPS抽样是抽样设计中常用的抽样方式,但现有抽样方法的操作和计算极其复杂.采用近似处理对复杂性的降低程度有限,反而大大增加了估计量的方差.为此,采取逐单元分析的思路抽样,提出了一种新的PS抽样方案.从πPS抽样方案的理论分析入手,介绍了该方案的具体操作流程;之后通过基于该操作流程的计算,得到具体的入样概率,证明该抽样方案的合理性和有效性;最后将新方案与传统PS抽样方案进行比较,阐述它既具备计算简单的优势,也保证了估计量近似无偏及方差小的性质.

The πPS sampling is commonly used in sampling design.However,the existing methods for πPS sampling are extremely complicated in practice.The approximation methods,without largely decreasing the complexity,but increase the variance of estimators.Thus,we carry out a new πPS sampling method under the new idea of analyzing units individually.This article approaches the question theoretically,introduces the process of new sampling method,and calculates for the including probability by calculation.We then show its advantage of simple computation and small variance of estimator by comparing it with existing ones.