Exponential ratio and product type estimators of the mean in stratified two-phase sampling
Tolga Zaman, Cem Kadılar
Abstract
<abstract> In this study, we propose exponential ratio estimators in the stratified two-phase sampling utilizing an auxiliary attribute. The expressions for the mean squared error of these exponential-type estimators under two different cases are derived and theoretical comparisons are made with competing estimators. We show that the proposed estimators have a lower mean square error than the simple mean estimator, usual stratified two-phase sampling ratio, and product estimators, usual exponential ratio and product estimators for the stratified two-phase sampling under the obtained conditions in theory. In addition, these theoretical results are supported with the aid of a numerical example. </abstract>
Topics & Concepts
EstimatorMathematicsMean squared errorRatio estimatorExponential functionStratified samplingStatisticsApplied mathematicsSampling (signal processing)Product (mathematics)Minimum mean square errorM-estimatorPhase (matter)Efficient estimatorMathematical analysisComputer scienceMinimum-variance unbiased estimatorPhysicsGeometryQuantum mechanicsFilter (signal processing)Computer visionSurvey Sampling and Estimation TechniquesBayesian Methods and Mixture Models