Mean Estimation Using Factor Type Estimator in Presence of Measurement Errors in Systematic Sampling

Abstract

This article proposes estimation of population mean using factor-type (F-T) estimator in the presence of measurement errors under systematic sampling scheme. The factor-type (F-T) estimator is biased and the expression of bias, MSE and optimum MSE of proposed estimator is obtained up to first order of approximation under the concept of large sample approximations and a comparative study of this estimator along with related pre-existing estimators is taken out. A simulation study has been performed to ratify the performance of proposed estimator in systematic sampling. The proposed factor-type (F-T) estimator is found better than other existing estimators as considered under in this study.