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Improved estimation of population variance in stratified successive sampling using calibrated weights under non-response

M. K. Pandey, G. N. Singh, Tolga Zaman, Aned Al Mutairi, Manahil SidAhmed Mustafa

2024Heliyon21 citationsDOIOpen Access PDF

Abstract

This paper introduces a new method to estimate the population variance of a study variable in stratified successive sampling over two occasions, while accounting for random non-response. The method uses a logarithmic type estimator and leverages information from a highly positively correlated auxiliary variable. The paper also presents calibrated weights for the new estimator and examines its properties through numerical and simulation studies. The results indicate that the suggested estimator is more effective than the standard estimator for estimating the population variance.

Topics & Concepts

Stratified samplingPopulation varianceEstimatorStatisticsVariance (accounting)MathematicsMinimum-variance unbiased estimatorBias of an estimatorSampling (signal processing)PopulationLogarithmVariable (mathematics)Ratio estimatorComputer scienceDemographyAccountingBusinessSociologyFilter (signal processing)Mathematical analysisComputer visionSurvey Sampling and Estimation Techniques
Improved estimation of population variance in stratified successive sampling using calibrated weights under non-response | Litcius