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

Sohaib Ahmad, Sardar Hussain, Muhammad Aamir, Faridoon Khan, Mohammed Nasser Alshahrani, Mohammed Alqawba

2021AIMS Mathematics33 citationsDOIOpen Access PDF

Abstract

<abstract><p>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.</p></abstract>

Topics & Concepts

EstimatorPopulation meanSimple random sampleMathematicsStatisticsMean squared errorSimple (philosophy)PopulationRank (graph theory)Random variableSampling (signal processing)Applied mathematicsComputer scienceCombinatoricsDemographyComputer visionSociologyPhilosophyFilter (signal processing)EpistemologySurvey Sampling and Estimation Techniques
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