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...
Main Authors: | , , , , , , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
AIMS Press
2021-03-01
|
Series: | AIMS Mathematics |
Subjects: | |
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 |