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Research Article | Open Access

Logarithmic type predictive estimators under simple random sampling

Shashi Bhushan1Anoop Kumar2Md Tanwir Akhtar3Showkat Ahmad Lone4( )
University of Lucknow, Lucknow, U.P., India, 226007
Department of Mathematics & Statistics, Dr. Shakuntala Misra National Rehabilitation University, Lucknow, U.P., India, 226017
Department of Public Health, College of Health Sciences, Saudi Electronic University, KSA
Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, 11673, KSA
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Abstract

This study introduces a novel predictive estimation approach of the population mean based on logarithmic type estimators as predictor under simple random sampling. The bias and mean square error of the proffered predictive estimators are examined to the approximation of order one. The efficiency conditions are obtained and the performance of the proffered predictive estimators is examined regarding the contemporary predictive estimators existing till date. Further, a broad computational study is also administered utilizing few real and artificially rendered symmetric and asymmetric populations to exemplify the theoretical results.

CLC number: 62D05

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AIMS Mathematics
Pages 11992-12010

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Cite this article:
Bhushan S, Kumar A, Akhtar MT, et al. Logarithmic type predictive estimators under simple random sampling. AIMS Mathematics, 2022, 7(7): 11992-12010. https://doi.org/10.3934/math.2022668

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Received: 01 February 2022
Revised: 26 March 2022
Accepted: 13 April 2022
Published: 15 July 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)