A class of estimators of the population mean in survey sampling using auxiliary information
A class of estimators of the population mean in survey sampling using auxiliary information
复制标题
使用辅助信息进行调查抽样中总体平均值的一类估计量
DOI：
10.1093/biomet/68.1.341
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发表时间：
1981
期刊：
影响因子：
2.7
通讯作者：
H. S. Jhajj
中科院分区：
文献类型：
--
作者：
S. K. Srivastava;H. S. Jhajj
摘要为了利用关于辅助变量的信息估计有限总体的平均值，一类估计器被定义为辅助变量的样本均值与总体均值之比以及样本方差与总体方差之比的函数。给出了偏差和均方误差的渐近表达式。给出了这类估计的最小均方误差小于仅用辅助变量样本均值与总体均值之比的条件。
SUMMARY For estimating the mean of a finite population using information on an auxiliary variable, a class of estimators is defined as a function of the ratio of sample mean to population mean and the ratio of sample variance to population variance of the auxiliary variable. Asymptotic expressions for bias and mean squared error are obtained. A condition is given for the minimum mean squared error of estimators of this class to be smaller than those which use only the ratio of sample mean to population mean of the auxiliary variable.