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Measuring Performance of Ratio-Exponential-Log Type General Class of Estimators Using Two Auxiliary Variables

Javid Shabbir, Shakeel Ahmed, Aamir Sanaullah, Ronald Onyango

2021Mathematical Problems in Engineering11 citationsDOIOpen Access PDF

Abstract

In this paper, a ratio-exponential-log type general class of estimators is proposed in estimating the finite population mean using two auxiliary variables when population parameters of the auxiliary variables are known. From the proposed estimator, some special estimators are identified as members of the proposed general class of estimators. The mean square error (MSE) expressions are obtained up to the first order of approximation. This study finds that the proposed general class of estimators outperforms as compared to the conventional mean estimator, usual ratio estimators, exponential-ratio estimators, log-ratio type estimators, and many other competitor regression type estimators. Four real-life applications are used for efficiency comparison.

Topics & Concepts

EstimatorMathematicsMean squared errorStatisticsExponential typeExtremum estimatorPopulationType (biology)Exponential functionRatio estimatorClass (philosophy)EfficiencyApplied mathematicsM-estimatorEfficient estimatorMinimum-variance unbiased estimatorComputer scienceMathematical analysisArtificial intelligenceEcologyDemographyBiologySociologySurvey Sampling and Estimation TechniquesStatistical Methods and Bayesian InferenceBayesian Methods and Mixture Models
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