A general class of estimators on estimating population mean using the auxiliary proportions under simple and two phase sampling

被引：6

作者：

Liu, Xuechen ^{[1
]}

Arslan, Muhammad ^{[2
]}

机构：

[1] Taiyuan Normal Univ, Fac Econ, Taiyuan, Peoples R China

[2] Shanxi Univ Finance & Econ, Taiyuan, Peoples R China

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 12期

关键词：

simple and two phase sampling; proportion; auxiliary information; mean squared error; numerical comparison;

D O I：

10.3934/math.2021790

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article deals with estimation of finite population mean using the auxiliary proportion under simple and two phase sampling scheme utilizing two auxiliary variables. Mathematical expressions for the mean squared errors of the proposed estimators are derived under first order of approximation. We compare the proposed class of estimators "theoretically and numerically" with the usual mean estimator of Naik and Gupta [1]. The theoretical as well as numerical findings support the superiority of our proposed class of estimator as compared to estimators available in literature.

引用

页码：13592 / 13607

页数：16

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