Family of Finite Population Mean Estimators with Auxiliary Information in the Presence of Measurement Error

Abstract

For the unspecified population mean estimation, a family of exponential type estimators has been proposed when survey encounters measurement error under simple random sampling without replacement. Up to the first approximation degree, the mean square error and bias expressions of suggested estimators have been derived. Numerical and simulation studies were done to validate and compare the estimator with some other existing similar type estimators by using R.