Estimation of finite population mean under PPS in presence of maximum and minimum values

被引：13

作者：

Al-Marzouki, Sanaa ^{[1
]}

Chesneau, Christophe ^{[2
]}

Akhtar, Sohail ^{[3
]}

Nasir, Jamal Abdul ^{[3
]}

Ahmad, Sohaib ^{[4
]}

Hussain, Sardar ^{[4
]}

Jamal, Farrukh ^{[5
]}

Elgarhy, Mohammed ^{[6
]}

El-Morshedy, M. ^{[7
,8
]}

机构：

[1] King Abdulaziz Univ, Stat Dept, Fac Sci, Jeddah 21551, Saudi Arabia

[2] Univ Caen, Dept Math, LMNO, Campus II,Sci 3, F-14032 Caen, France

[3] Govt Coll Univ Lahore, Dept Stat, Lahore, Pakistan

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

[5] Govt SA Postgrad Coll Dera Nawab Sahib, Dept Stat, Bahawalpur 63100, Punjab, Pakistan

[6] Higher Inst Commercial Sci, Al Mahalla Al Kubra 31951, Algarbia, Egypt

[7] Prince Sattam bin Abdulaziz Univ, Coll Sci & Humanities Al Kharj, Dept Math, Al Kharj 11942, Saudi Arabia

[8] Mansoura Univ, Dept Math, Fac Sci, Mansoura 35516, Egypt

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 05期

关键词：

PPS; mean squared error; auxiliary variable; maximum and minimum values; IMPROVEMENT;

D O I：

10.3934/math.2021318

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article deals with the estimation of the finite population mean under probability proportional to size (PPS) sampling using information on the auxiliary variable along with the rank of the auxiliary variable. We propose a ratio, product and regression type estimators by incorporating the maximum and minimum values of the study variable and the auxiliary variable. The mathematical expressions of the proposed estimators are derived up to first order of approximation. Efficiency comparisons are made on the basis of real data sets.

引用

页码：5397 / 5409

页数：13

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