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Research Articles

Enhancing ratio estimators for estimating population mean using maximum value of auxiliary variable

Authors:

Nasir Abbas,

Government College University, PK
About Nasir
Department of Statistics
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Muhammad Abid ,

Zhejiang University, CN
About Muhammad
Department of Mathematics, Institute of Statistics
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Muhammad Tahir,

Government College University, PK
About Muhammad
Department of Statistics
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Nasir Abbas,

Government Postgraduate College, PK
About Nasir
Department of Statistics
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Zawar Hussain

Quaid-i-Azam University, PK
About Zawar
Department of Statistics
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Abstract

This article proposes some newly modified ratio estimators for the estimation of population mean of the study variable by incorporating the maximum value of the auxiliary variable. The expressions of the bias and mean squared error were derived. The conditions in which the suggested estimators have minimum values of mean squared error in comparison to the existing estimators were also derived. An empirical and simulation study was also conducted. From the empirical and simulation study, it was found that the suggested estimators perform more efficiently as compared to the existing estimators considered in this study.

How to Cite: Abbas, N., Abid, M., Tahir, M., Abbas, N. and Hussain, Z., 2018. Enhancing ratio estimators for estimating population mean using maximum value of auxiliary variable. Journal of the National Science Foundation of Sri Lanka, 46(3), pp.453–463. DOI: http://doi.org/10.4038/jnsfsr.v46i3.8498
Published on 30 Sep 2018.
Peer Reviewed

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