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

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 (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

References

1. [1] Alomari, A.I., Jemain, A.A and Ibrahim, K. , “New ratio estimators of the mean using simple random sampling and ranked set sampling methods”, Revista Investigation Operational, Vol. 30, No. 2, 97- 108, (2009).