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A generalized exponential-type estimator for population mean using auxiliary attributes

Sohail Ahmad, Muhammad Arslan, Aamna Khan, Javid Shabbir

2021PLoS ONE26 citationsDOIOpen Access PDF

Abstract

In this paper, we propose a generalized class of exponential type estimators for estimating the finite population mean using two auxiliary attributes under simple random sampling and stratified random sampling. The bias and mean squared error (MSE) of the proposed class of estimators are derived up to first order of approximation. Both empirical study and theoretical comparisons are discussed. Four populations are used to support the theoretical findings. It is observed that the proposed class of estimators perform better as compared to all other considered estimator in simple and stratified random sampling.

Topics & Concepts

EstimatorMean squared errorSimple random sampleStratified samplingMathematicsStatisticsPopulation meanPopulationApplied mathematicsRatio estimatorEfficient estimatorMinimum-variance unbiased estimatorSociologyDemographySurvey Sampling and Estimation Techniques