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Family of Estimators of Population Mean Using Two Auxiliary Variables in Stratified Random Sampling
Authors:Nursel Koyuncu  Cem Kadilar
Institution:1. Department of Statistics , Hacettepe University , Ankara , Turkey nkoyuncu@hacettepe.edu.tr;3. Department of Statistics , Hacettepe University , Ankara , Turkey
Abstract:A general family of estimators, which use the information of two auxiliary variables in the stratified random sampling, is proposed to estimate the population mean of the variable under study. Under stratified random sampling without replacement scheme, the expressions of bias and mean square error (MSE) up to the first- and second-order approximations are derived. The family of estimators in its optimum case is discussed. Also, an empirical study is carried out to show the properties of the proposed estimators.
Keywords:Auxiliary information  Efficiency  Mean square error  Ratio estimator  Stratified random sampling
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