A simulation study: Using dual ancillary variable to estimate population mean under stratified random sampling

被引：7

作者：

Ahmad, Sohaib ^{[1
]}

Hussain, Sardar ^{[2
]}

Yasmeen, Uzma ^{[3
]}

Aamir, Muhammad ^{[1
]}

Shabbir, Javid ^{[2
]}

El-Morshedy, M. ^{[4
,5
]}

Al-Bossly, Afrah ^{[4
]}

Ahmad, Zubair ^{[6
]}

机构：

[1] Abdul Wali Khan Univ, Dept Stat, Mardan, Pakistan

[2] Quaid I Azam Univ, Dept Stat, Islamabad, Pakistan

[3] Univ Lahore, Inst Mol Biol & Biotechnol, Lahore, Pakistan

[4] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Al Kharj, Dept Math, Al Kharj, Saudi Arabia

[5] Mansoura Univ, Fac Sci, Dept Math, Mansoura, Egypt

[6] Yazd Univ, Dept Stat, Yazd, Iran

来源：

PLOS ONE | 2022年 / 17卷 / 11期

关键词：

AUXILIARY INFORMATION; RATIO;

D O I：

10.1371/journal.pone.0275875

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we propose an improved ratio-in-regression type estimator for the finite population mean under stratified random sampling, by using the ancillary varaible as well as rank of the ancillary varaible. Expressions of the bias and mean square error of the estimators are derived up to the first order of approximation. The present work focused on proper use of the ancillary variable, and it was discussed how ancillary variable can improve the precision of the estimates. Two real data sets as well as simulation study are carried out to observe the performances of the estimators. We demonstrate theoretically and numerically that proposed estimator performs well as compared to all existing estimators.

引用

页数：19

共 30 条

[1] Dual Use of Auxiliary Information for Estimating the Finite Population Mean under the Stratified Random Sampling Scheme [J].