简单随机抽样中总体均值的两种改进估计量  

Two improved estimators for the population mean in simple random sampling

作　　者：张雨佳 卢静莉[1] ZHANG Yujia;LU Jingi(School of Science,Inner Mongolia University of Technology,Hohhot 010051,China)

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051

出　　处：《内蒙古工业大学学报（自然科学版）》2024年第3期193-199,共7页Journal of Inner Mongolia University of Technology：Natural Science Edition

基　　金：内蒙古自治区直属高校基本科研业务费项目(JY20220232)。

摘　　要：为提高利用辅助变量的估计量精度,提出了简单随机抽样下新的估计总体均值的指数比值型估计量和改进的回归估计量,得到了估计量均方误差的一阶近似表达式。与现有效率较高的一些比估计量和回归估计量的均方误差进行比较,表明在某些条件下,新的估计量优于这些估计量。从数值算例也可以得出相同的结果,即所提出的两种改进估计量比现有的估计量精度更高。To improve the efficiency of the estimators using auxiliary variables,a new exponential ratio-type estimator and an improved regression estimator for estimating the population mean are proposed under simple random sampling.The first-order approximate expression of the mean square error of the estimators is derived.A comparison with some currently more efficient ratio estimators and regression estimators in terms of mean square error shows that under certain conditions,the new estimators outperform these estimators.This conclusion is further supported by numerical examples,indicating that the proposed improved estimators achieve higher precision than the existing estimators.

关 键 词：辅助变量 估计量 均方误差 效率 数值举例 

分 类 号：O212.4[理学—概率论与数理统计]