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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Bibliographic Details
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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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021045