Mean estimation using an efficient class of estimators based on simple random sampling: Simulation and applications
Anoop Kumar, Asra Sayeed Siddiqui, Manahil SidAhmed Mustafa, Eslam Hussam, Hassan M. Aljohani, Fatimah A. Almulhim
Abstract
In this article, we offer simple random sampling (SRS) based efficient class of estimators of population mean Y¯ utilizing additional information. The expression of the mean square error of the proposed class of estimators is deduced up to first degree approximation. The efficiency conditions are established which are enhanced numerically utilizing a simulation study consummated over symmetrical and asymmetrical populations. Real data sets are also utilized to exemplify the suggested estimators. The numerical findings are appeared rather acceptable demonstrating better advancement over the ordinary estimators.
Topics & Concepts
Simple random sampleEstimatorSimple (philosophy)Class (philosophy)Sampling (signal processing)EstimationMathematicsStatisticsApplied mathematicsComputer scienceMathematical optimizationEngineeringArtificial intelligenceComputer visionPhilosophyEpistemologyFilter (signal processing)DemographyPopulationSociologySystems engineeringSurvey Sampling and Estimation TechniquesStatistical Distribution Estimation and ApplicationsStatistical Methods and Bayesian Inference