An Unbiased Estimator of Finite Population Mean Using Auxiliary Information

Abstract

In this paper, an unbiased estimator is constructed by using a linear combination of an estimator of study variable and mean per unit estimator of an auxiliary variable under simple random sampling without replacement scheme. The efficiency of the estimator under optimality compared with the mean per unit estimator, an almost unbiased ratio estimator, an unbiased product estimator, and a regression estimator both theoretically and with the numerical illustration.

Keywords

• Simple random sampling
• Auxiliary variable
• Unbiased estimator
• Optimality
• Efficiency