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Research Article | Open Access

Estimation of finite population mean using dual auxiliary variable for non-response using simple random sampling

Sohaib Ahmad1Sardar Hussain2( )Muhammad Aamir1Faridoon Khan3Mohammed N Alshahrani4Mohammed Alqawba5
Department of Statistics, Abdul Wali Khan University, Mardan, Pakistan
Department of Statistics, Quaid-i-azam University, Islamabad, Pakistan
PIDE School of Economics, Pakistan Institute of Development Economics, Islamabad, Pakistan
Departments of Mathematics, College of Science and Humanities in Al-kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
Department of Mathematics, College of Science and Arts, Qassim University, Ar Rass, Saudi Arabia
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Abstract

This paper addresses the issue of estimating the population mean for non-response using simple random sampling. A new family of estimators is proposed for estimating the population mean with auxiliary information on the sample mean and the rank of the auxiliary variable. Bias and mean square errors of existing and proposed estimators are obtained using the first order of measurement. Theoretical comparisons are made of the performance of the proposed and existing estimators. We show that the proposed family of estimators is more efficient than existing estimators in the literature under the given constraints using these theoretical comparisons.

CLC number: 65D05

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AIMS Mathematics
Pages 4592-4613

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Cite this article:
Ahmad S, Hussain S, Aamir M, et al. Estimation of finite population mean using dual auxiliary variable for non-response using simple random sampling. AIMS Mathematics, 2022, 7(3): 4592-4613. https://doi.org/10.3934/math.2022256

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Received: 15 July 2021
Revised: 10 December 2021
Accepted: 14 December 2021
Published: 15 March 2021
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)