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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Published inAIMS mathematics Vol. 6; no. 1; pp. 737 - 753
Main Authors Jabeen, Riffat, Sanaullah, Aamir, Hanif, Muhammad, Zaka, Azam
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
auxiliary variable
first stage sampling unit
mean square error
second stage sampling unit
two phase sampling
two stage sampling
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ISSN2473-6988
2473-6988
DOI10.3934/math.2021045

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Abstract 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.
AbstractList 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.
Author Sanaullah, Aamir
Hanif, Muhammad
Zaka, Azam
Jabeen, Riffat
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  organization: Department of Statistics, Govt. College of Science, Wahdat Road, Lahore, Pakistan
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Cites_doi 10.5120/7216-0011
10.1080/03610920802562723
10.1080/03610926.2013.827719
10.1080/03610918.2014.995817
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StartPage 737
SubjectTerms auxiliary variable
first stage sampling unit
mean square error
second stage sampling unit
two phase sampling
two stage sampling
Title Two-exponential estimators for estimating population mean
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