A Generalized Difference-cum-Ratio Type Estimator for the Population Mean in Double Sampling

Abstract

Using double sampling technique, a generalized difference-cum-ratio type estimator has been proposed for estimating the population mean. The expressions for bias and mean square error of proposed estimator have been obtained. The conditions under which proposed estimator is better than the regression estimator and mean per unit estimator have also been obtained. The gain in efficiency over the existing ones have been illustrated numerically as well as graphically. Simulation study has also been done to support the results by generating data.

Keywords:

• Auxiliary variable
• Double sampling
• Efficiency
• Mean per unit estimator
• Mean square error
• Regression estimator
• Simulation

Mathematics Subject Classification:

• 62D05
• 62F40

Acknowledgment

The authors are thankful to the reviewers for good suggestions.