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

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 maximu...

Full description

Bibliographic Details
Main Authors: Sanaa Al-Marzouki, Christophe Chesneau, Sohail Akhtar, Jamal Abdul Nasir, Sohaib Ahmad, Sardar Hussain, Farrukh Jamal, Mohammed Elgarhy, M. El-Morshedy
Format: Article
Language:English
Published: AIMS Press 2021-03-01
Series:AIMS Mathematics
Subjects:
pps
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021318?viewType=HTML
id doaj-971c9805f9f4485b8e8f88a38e539986
record_format Article
spelling doaj-971c9805f9f4485b8e8f88a38e5399862021-03-22T01:27:38ZengAIMS PressAIMS Mathematics2473-69882021-03-016553975409Estimation of finite population mean under PPS in presence of maximum and minimum valuesSanaa Al-Marzouki0 Christophe Chesneau1Sohail Akhtar2Jamal Abdul Nasir 3Sohaib Ahmad4Sardar Hussain5Farrukh Jamal 6 Mohammed Elgarhy 7M. El-Morshedy8 1. Statistics Department, Faculty of Science, King Abdul Aziz University, Jeddah 21551, Saudi Arabia2. Department of Mathematics, Université de Caen, LMNO, Campus II, Science 3, 14032 Caen, France3. Department of Statistics, Government College University Lahore Lahore Pakistan3. Department of Statistics, Government College University Lahore Lahore Pakistan4. Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan4. Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan5. Department of Statistics, Govt. S.A Postgraduate College Dera Nawab Sahib, Bahawalpur, Punjab 63100, Pakistan6. The Higher Institute of Commercial Sciences, Al Mahalla Al Kubra, 31951, Algarbia, Egypt7. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia 8. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptThis 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.http://www.aimspress.com/article/doi/10.3934/math.2021318?viewType=HTMLppsmean squared errorauxiliary variablemaximum and minimum values
collection DOAJ
language English
format Article
sources DOAJ
author Sanaa Al-Marzouki
Christophe Chesneau
Sohail Akhtar
Jamal Abdul Nasir
Sohaib Ahmad
Sardar Hussain
Farrukh Jamal
Mohammed Elgarhy
M. El-Morshedy
spellingShingle Sanaa Al-Marzouki
Christophe Chesneau
Sohail Akhtar
Jamal Abdul Nasir
Sohaib Ahmad
Sardar Hussain
Farrukh Jamal
Mohammed Elgarhy
M. El-Morshedy
Estimation of finite population mean under PPS in presence of maximum and minimum values
AIMS Mathematics
pps
mean squared error
auxiliary variable
maximum and minimum values
author_facet Sanaa Al-Marzouki
Christophe Chesneau
Sohail Akhtar
Jamal Abdul Nasir
Sohaib Ahmad
Sardar Hussain
Farrukh Jamal
Mohammed Elgarhy
M. El-Morshedy
author_sort Sanaa Al-Marzouki
title Estimation of finite population mean under PPS in presence of maximum and minimum values
title_short Estimation of finite population mean under PPS in presence of maximum and minimum values
title_full Estimation of finite population mean under PPS in presence of maximum and minimum values
title_fullStr Estimation of finite population mean under PPS in presence of maximum and minimum values
title_full_unstemmed Estimation of finite population mean under PPS in presence of maximum and minimum values
title_sort estimation of finite population mean under pps in presence of maximum and minimum values
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2021-03-01
description 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.
topic pps
mean squared error
auxiliary variable
maximum and minimum values
url http://www.aimspress.com/article/doi/10.3934/math.2021318?viewType=HTML
work_keys_str_mv AT sanaaalmarzouki estimationoffinitepopulationmeanunderppsinpresenceofmaximumandminimumvalues
AT christophechesneau estimationoffinitepopulationmeanunderppsinpresenceofmaximumandminimumvalues
AT sohailakhtar estimationoffinitepopulationmeanunderppsinpresenceofmaximumandminimumvalues
AT jamalabdulnasir estimationoffinitepopulationmeanunderppsinpresenceofmaximumandminimumvalues
AT sohaibahmad estimationoffinitepopulationmeanunderppsinpresenceofmaximumandminimumvalues
AT sardarhussain estimationoffinitepopulationmeanunderppsinpresenceofmaximumandminimumvalues
AT farrukhjamal estimationoffinitepopulationmeanunderppsinpresenceofmaximumandminimumvalues
AT mohammedelgarhy estimationoffinitepopulationmeanunderppsinpresenceofmaximumandminimumvalues
AT melmorshedy estimationoffinitepopulationmeanunderppsinpresenceofmaximumandminimumvalues
_version_ 1724209636323622912