Improved ratio type estimators of population mean based on median of a study variable and an auxiliary variable

Authors : Muhammad IRFAN, Maria JAVED, Muhammad ABİD, Zhengyan LİN

Pages : 659-673

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Publication Date : 2018-06-01

Article Type : Research Paper

Abstract :This paper deals with efficient ratio type estimators for estimating finite population mean under simple random sampling scheme by using the knowledge of known median of a study and an auxiliary variable. Expressions for the bias and mean squared error of the proposed ratio type estimators are derived up to first order of approximation. It is found that our proposed estimators perform better as compared to the traditional ratio estimator, regression estimator, Subramani and Ku marapandiyan [23], Subramani and Prabavathy [24] and Yadav et al. [28] estimators. In addition, theoretical findings are veried with the help of real data sets.
Keywords : Auxiliary variables, Bias, Eciency, Median, Mean squared error, Ratio estimators, RRMSE