A New Ratio Type Estimator for Double Sampling with Two Auxiliary Variables


Authors : Faweya Olanrewaju; Ajayi Esther; Akinyemi Oluwadare

Volume/Issue : Volume 8 - 2023, Issue 2 - February

Google Scholar : https://bit.ly/3TmGbDi

Scribd : https://bit.ly/405IMno

DOI : https://doi.org/10.5281/zenodo.7743391

Abstract : In this paper, we propose a new ratio type estimator for double sampling with two auxiliary variables. The expressions for bias and mean square error (MSE) of the proposed estimator have been obtained. Some realistic conditions have been obtained under which the proposed estimator is more efficient than the usual unbiased well-known existing estimators of double sampling using two auxiliary variables for population mean and it was found to be more efficient in many situations.

Keywords : Double Sampling; Ratio-Type Estimator; Bias; Mean Square Error (MSE); Auxiliary variable.

In this paper, we propose a new ratio type estimator for double sampling with two auxiliary variables. The expressions for bias and mean square error (MSE) of the proposed estimator have been obtained. Some realistic conditions have been obtained under which the proposed estimator is more efficient than the usual unbiased well-known existing estimators of double sampling using two auxiliary variables for population mean and it was found to be more efficient in many situations.

Keywords : Double Sampling; Ratio-Type Estimator; Bias; Mean Square Error (MSE); Auxiliary variable.

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