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Research Article | Open Access

Estimation of finite population mean in presence of maximum and minimum values under systematic sampling scheme

Anum Iftikhar1, Hongbo Shi1, Saddam Hussain2( ), Ather Qayyum2, M. El-Morshedy3,4, Sanaa Al-Marzouki5
School of Statistics, Shanxi University of Finance and Economics, Taiyuan 030031, China
Department of Mathematics and Statistics, Institute of Southern Punjab Multan, Pakistan
Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Statistics Department, Faculty of Science, King AbdulAziz University, Jeddah 21551, Saudi Arabia
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Abstract

Estimators for the finite population mean of the research variable are proposed in this article, employing ratio, product, and regression type estimators, all of which need just one auxiliary variable. A first-order approximation is developed for the mean squared errors of the techniques provided. It has been proven theoretically that the suggested estimators perform better than current estimators, and these theoretical conditions have been validated numerically using four data sets.

Keywords

systematic samplingbiasefficiencymean square error (MSE)maximum and minimum values
CLC number: 03F20, 00A71

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AIMS Mathematics
Volume 7 Issue 6,
June 2022
Pages 9825-9834
DOI: 10.3934/math.2022547

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Cite this article:
Iftikhar A, Shi H, Hussain S, et al. Estimation of finite population mean in presence of maximum and minimum values under systematic sampling scheme. AIMS Mathematics, 2022, 7(6): 9825-9834. https://doi.org/10.3934/math.2022547

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Received: 17 January 2022
Revised: 26 February 2022
Accepted: 06 March 2022
Published: 15 June 2022
©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)