Improvement in variance estimation using transformed auxiliary variable under simple random sampling
Hameed Ali, Syed Muhammad Asim, Muhammad Ijaz, Tolga Zaman, Soofia Iftikhar
Abstract
This paper offers a novel approach to formulate efficient ratio estimator of the population variance using a transformed auxiliary variable. The impact of transformation on auxiliary information has also been discussed. It is observed that incorporating a transformed auxiliary variable result in a high gain in efficiency. Theoretical properties of the newly developed estimators have been derived. The empirical and simulation studies show that the suggested estimators outperformed the existing estimators.
Topics & Concepts
EstimatorVariable (mathematics)Variance (accounting)Transformation (genetics)Simple random samplePopulation varianceComputer scienceSimple (philosophy)Random variableStatisticsPopulationMathematicsBiologyDemographyMathematical analysisGeneBusinessPhilosophyEpistemologyBiochemistryAccountingSociologySurvey Sampling and Estimation TechniquesStatistical Methods and Bayesian InferenceCensus and Population Estimation