CAJ | 학술논문

在抽样调查中恰当地使用辅助信息可以提高调查精度。当辅助变量x与调查指标y呈负相关关系时，乘积估计是构造总体均值估计传统的方法。本文提出了链式乘积估计量，并且得到了它的均方误差。在一定条件下，链式乘积估计量的效率高于传统估计量，并提供了一个数值例子。
재추양조사중흡당지사용보조신식가이제고조사정도。당보조변량x여조사지표y정부상관관계시，승적고계시구조총체균치고계전통적방법。본문제출료련식승적고계량，병차득도료타적균방오차。재일정조건하，련식승적고계량적효솔고우전통고계량，병제공료일개수치례자。
In sampling surveys ,the precision of the estimators can be increased by using properly auxiliary information .When the auxiliary variable x and interest variable y showed a negative correla-tion relationship , the traditional method is to use the product estimation for population mean . We present a chain product estimation for population mean in this paper ,and its mean square error (MSE) is obtained .T he obtained results show that the proposed estimator is more efficient than the traditional product estimator under certain conditions .In addition ,this result is supported by a real example with original data .