Estimation of finite population mean in presence of maximum and minimum values under systematic sampling scheme

被引:2
|
作者
Iftikhar, Anum [1 ]
Shi, Hongbo [1 ]
Hussain, Saddam [2 ]
Qayyum, Ather [2 ]
El-Morshedy, M. [3 ,4 ]
Al-Marzouki, Sanaa [5 ]
机构
[1] Shanxi Univ Finance & Econ, Sch Stat, Taiyuan 030031, Peoples R China
[2] Inst Southern Punjab Multan, Dept Math & Stat, Multan, Pakistan
[3] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Al Kharj, Dept Math, Al Kharj 11942, Saudi Arabia
[4] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
[5] King AbdulAziz Univ, Fac Sci, Stat Dept, Jeddah 21551, Saudi Arabia
来源
AIMS MATHEMATICS | 2022年 / 7卷 / 06期
关键词
systematic sampling; bias; efficiency; mean square error (MSE); maximum and minimum values;
D O I
10.3934/math.2022547
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Estimators for the finite population mean of the research variable are proposed in this article, employing ratio, product, and regression type estimators, all of which need just one auxiliary variable. A first-order approximation is developed for the mean squared errors of the techniques provided. It has been proven theoretically that the suggested estimators perform better than current estimators, and these theoretical conditions have been validated numerically using four data sets.
引用
收藏
页码:9825 / 9834
页数:10
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