抽样框总体容量变动下的复合抽样设计  

Composite sampling design with changing population capacities of the sampling frame

作　　者：张维群 杨澜泳 杨善学 Zhang Weiqun;Yang Lanyong;Yang Shanxue(School of Statistics Xi’an University of Finance and Economics,Xi’an 710100,China;Xi’an Peihua University,Xi’an 710100,China)

机构地区：[1]西安财经大学统计学院,陕西西安710100 [2]西安培华学院,陕西西安710100

出　　处：《系统工程学报》2021年第4期566-576,共11页Journal of Systems Engineering

基　　金：国家社会科学基金资助项目(20ATJ002).

摘　　要：考虑到“三新”企业在短时间内新生和消亡的企业数量较大,采用固定的抽样框对“三新”企业进行连续抽样存在代表性较差问题,为解决此问题,提出了基于总体容量变动下的复合抽样设计方法.采用复合抽样设计方法有效解决了总体容量变动下抽样样本的代表性问题,给出了总体总值估计量并验证了其无偏性.结果表明:使用复合抽样设计方法对总体的出生率消亡率估计,能够实现对总体容量变动下抽样框进行更新;复合抽样设计方法比较适合总体总量、单元或单位特征发生变化的调查总体;在总体总量发生变动时,复合随机抽样方法优于传统抽样方法.Due to the large number of newborns and extinctions in a short period of time in the“three-new”enterprises,a fixed sampling frame method would result in the problem of poor representativeness.In order to solve the problem,this article proposes a composite sampling design method with changing popula-tion capacities.The method solves the representativeness problem of sampling when the population capacity changes.Further,the population value estimation is given and its unbias property is proved.Results show that:using the composite sampling design method to estimate the population birth rate and death rate can update the sampling frame when the population capacity changes.The composite sampling design method is more suitable for investigations with changing population capacities and changing unit or unit characteristics.The compound random sampling method is superior to the traditional sampling method with changing population capacities.

关 键 词：复合抽样设计 总体容量变动 参数估计 传统抽样方法 

分 类 号：C811[社会学—统计学]