ln-Type Variance Estimators in Simple Random Sampling
Hatice Öncel Çekim, Cem Kadılar
Abstract
Until now, various types of estimators have been used for estimating the population variance in simple random sampling studies, including ratio, product, regression and exponential-type estimators. In this article, we propose a family of -type estimators for the first time in the simple random sampling and show that they are more efficient than the other types of estimators under certain conditions obtained theoretically. Numerical illustrations and a simulation study support our findings in theory. In addition, it has been shown how to determine the optimal points in order to reach the minimum MSE values with the properties of the ln-type estimators in the different data sets.
Topics & Concepts
EstimatorMathematicsSimple random sampleStatisticsPopulation varianceExtremum estimatorType (biology)Exponential typeSimple (philosophy)Population meanVariance (accounting)Sampling (signal processing)Applied mathematicsPopulationM-estimatorComputer scienceMathematical analysisEpistemologyDemographySociologyFilter (signal processing)AccountingEcologyPhilosophyComputer visionBiologyBusinessSurvey Sampling and Estimation Techniques