Two-exponential estimators for estimating population mean
We introduce two-exponential shrinkage estimator using two stage two phase sampling for estimating population mean of study variable. Some properties of the proposed two-exponential shrinkage estimator are presented. The mathematical comparison in terms of the mean square error is done in order to d...
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doaj-177501087db340e69cced09ea271d73e2020-11-25T04:08:06ZengAIMS PressAIMS Mathematics2473-69882021-11-016173775310.3934/math.2021045Two-exponential estimators for estimating population meanRiffat Jabeen0Aamir Sanaullah1Muhammad Hanif2Azam Zaka31 Department of Statistics, COMSATS University Islamabad, Lahore Campus, Lahore, Pakistan1 Department of Statistics, COMSATS University Islamabad, Lahore Campus, Lahore, Pakistan2 National College of Business Administration and Economics Lahore, Pakistan3 Department of Statistics, Govt. College of Science, Wahdat Road, Lahore, PakistanWe introduce two-exponential shrinkage estimator using two stage two phase sampling for estimating population mean of study variable. Some properties of the proposed two-exponential shrinkage estimator are presented. The mathematical comparison in terms of the mean square error is done in order to demonstrate some conditions for which the proposed shrinkage estimators is more efficient than the already existing estimators in literature. A real life application is provided to show the performance of the proposed shrinkage estimator.https://www.aimspress.com/article/10.3934/math.2021045/fulltext.htmlauxiliary variablemean square errortwo stage samplingtwo phase samplingfirst stage sampling unitsecond stage sampling unit |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Riffat Jabeen Aamir Sanaullah Muhammad Hanif Azam Zaka |
spellingShingle |
Riffat Jabeen Aamir Sanaullah Muhammad Hanif Azam Zaka Two-exponential estimators for estimating population mean AIMS Mathematics auxiliary variable mean square error two stage sampling two phase sampling first stage sampling unit second stage sampling unit |
author_facet |
Riffat Jabeen Aamir Sanaullah Muhammad Hanif Azam Zaka |
author_sort |
Riffat Jabeen |
title |
Two-exponential estimators for estimating population mean |
title_short |
Two-exponential estimators for estimating population mean |
title_full |
Two-exponential estimators for estimating population mean |
title_fullStr |
Two-exponential estimators for estimating population mean |
title_full_unstemmed |
Two-exponential estimators for estimating population mean |
title_sort |
two-exponential estimators for estimating population mean |
publisher |
AIMS Press |
series |
AIMS Mathematics |
issn |
2473-6988 |
publishDate |
2021-11-01 |
description |
We introduce two-exponential shrinkage estimator using two stage two phase sampling for estimating population mean of study variable. Some properties of the proposed two-exponential shrinkage estimator are presented. The mathematical comparison in terms of the mean square error is done in order to demonstrate some conditions for which the proposed shrinkage estimators is more efficient than the already existing estimators in literature. A real life application is provided to show the performance of the proposed shrinkage estimator. |
topic |
auxiliary variable mean square error two stage sampling two phase sampling first stage sampling unit second stage sampling unit |
url |
https://www.aimspress.com/article/10.3934/math.2021045/fulltext.html |
work_keys_str_mv |
AT riffatjabeen twoexponentialestimatorsforestimatingpopulationmean AT aamirsanaullah twoexponentialestimatorsforestimatingpopulationmean AT muhammadhanif twoexponentialestimatorsforestimatingpopulationmean AT azamzaka twoexponentialestimatorsforestimatingpopulationmean |
_version_ |
1724426740232617984 |