New Ratio Estimators for Estimating Population Mean in Simple Random Sampling using a Coefficient of Variation, Correlation Coefficient and a Regression Coefficient

Authors : Nuanpan LAWSON

Pages : 610-621

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Publication Date : 2017-12-11

Article Type : Research Paper

Abstract :We propose new ratio estimators for estimating population mean using known auxiliary  variables in this paper. To estimate the population mean of the study variable we use a known  population coefficient of variation of the auxiliary variable, correlation coefficient between an  interest variable and an auxiliary variable and also the sample regression coefficient of interest  variable of an auxiliary variable. The expressions for the bias and mean square error insert ignore into journalissuearticles values(MSE); of  the proposed estimators up to the first order of approximation have been obtained. The  performance of proposed estimators are compared with existing estimators using both  theoretical and empirical data.
Keywords : Ratio estimators, Coefficient of variation, Correlation coefficient, Regression coefficient