A New Two Auxiliary Calibration Estimator of the Population Total in Two Stage Sampling Design using Nonlinear Constraints

Abstract

 In this study, a two auxiliary calibration estimator is proposed under two stage sampling design using a nonlinear constraint with the assumption of availability of population level auxiliaries at the cluster level and the size of the clusters were assumed unknown. The performance of the proposed estimator was evaluated through a simulation study. The empirical result shows that the developed estimator was performing better than the existing estimators under two stage sampling design when population level auxiliary information were available at the cluster level.