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

共 50 条

[1] Estimation of finite population mean in presence of maximum and minimum values under systematic sampling scheme
Iftikhar, Anum
Shi, Hongbo
Hussain, Saddam
Qayyum, Ather
El-Morshedy, M.
Al-Marzouki, Sanaa
[J]. AIMS MATHEMATICS, 2022, 7 (06): : 9825 - 9834
[2] Finite Population Mean Estimation Under Systematic Sampling Scheme in Presence of Maximum and Minimum Values Using Two Auxiliary Variables
El-Morshedy, Mahmoud
Hussain, Sardar
Ullah, Kalim
Khalil, Alamgir
Shabbir, Javid
Mansoor, Wahidullah
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022
[3] Estimation of Finite Population Mean by Using Minimum and Maximum Values in Stratified Random Sampling
Draz, Ummer
Shabbir, Javid
Khan, Hina
[J]. JOURNAL OF MODERN APPLIED STATISTICAL METHODS, 2018, 17 (01) : 2 - 15
[4] USE OF EXTREME VALUES TO ESTIMATE FINITE POPULATION MEAN UNDER PPS SAMPLING SCHEME
Ahmad, Sohaib
Shabbir, Javid
[J]. JOURNAL OF RELIABILITY AND STATISTICAL STUDIES, 2018, 11 (02): : 99 - 112
[5] Estimation of Finite Population Mean under Probability-Proportional-to-Size Sampling in the Presence of Extreme Values
Ayinzoya, Richard
Jakperik, Dioggban
[J]. INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2023, 2023
[6] Estimation of finite population mean using double sampling under probability proportional to size sampling in the presence of extreme values
Wang, Jing
Ahmad, Sohaib
Arslan, Muhammad
Lone, Showkat Ahmad
Abd Ellah, A. H.
Aldahlan, Maha A.
Elgarhy, Mohammed
[J]. HELIYON, 2023, 9 (11)
[7] Estimation of the monthly and annual mean maximum and mean minimum air temperature values in Greece
M. A. Gouvas
N. K. Sakellariou
H. D. Kambezidis
[J]. Meteorology and Atmospheric Physics, 2011, 110 : 143 - 149
[8] Estimation of the monthly and annual mean maximum and mean minimum air temperature values in Greece
Gouvas, M. A.
Sakellariou, N. K.
Kambezidis, H. D.
[J]. METEOROLOGY AND ATMOSPHERIC PHYSICS, 2011, 110 (3-4) : 143 - 149
[9] Some Improved Ratio, Product, and Regression Estimators of Finite Population Mean When Using Minimum and Maximum Values
Khan, Manzoor
Shabbir, Javid
[J]. SCIENTIFIC WORLD JOURNAL, 2013,
[10] OPTIMAL ESTIMATION OF A FINITE POPULATION MEAN IN THE PRESENCE OF LINEAR TREND
MUKERJEE, R
SENGUPTA, S
[J]. BIOMETRIKA, 1990, 77 (03) : 625 - 630

← 1 2 3 4 5 →