Exponential ratio and product type estimators of the mean in stratified two-phase sampling

被引：21

作者：

Zaman, Tolga ^{[1
]}

Kadilar, Cem ^{[2
]}

机构：

[1] Cankiri Karatekin Univ, Dept Stat, Cankiri, Turkey

[2] Hacettepe Univ, Dept Stat, Ankara, Turkey

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 05期

关键词：

stratified two-phase sampling; exponential ratio-product estimators; mean square error; efficiency;

D O I：

10.3934/math.2021252

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we propose exponential ratio estimators in the stratified two-phase sampling utilizing an auxiliary attribute. The expressions for the mean squared error of these exponential-type estimators under two different cases are derived and theoretical comparisons are made with competing estimators. We show that the proposed estimators have a lower mean square error than the simple mean estimator, usual stratified two-phase sampling ratio, and product estimators, usual exponential ratio and product estimators for the stratified two-phase sampling under the obtained conditions in theory. In addition, these theoretical results are supported with the aid of a numerical example.

引用

页码：4265 / 4279

页数：15

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