An Alternative Estimator for Estimating the Finite Population Mean Using Auxiliary Information in Sample Surveys

Table 1

Efficiency comparisons between different estimators.

Estimator	More efficient than estimator	If
𝑦	𝑦𝑅	𝑘≤1/2
𝑦	𝑦𝑃	𝑘≥−1/2
𝑦𝑅	𝑦	𝑘>1/2
𝑦𝑃	𝑦	𝑘<−1/2
𝑦	𝑦Re	𝑘≤1/4
𝑦	𝑦Pe	𝑘≥−1/4
𝑦Re	𝑦	𝑘>1/4
𝑦Pe	𝑦	𝑘<−1/4
𝑦	𝑦CR	𝑘≤1
𝑦	𝑦CP	𝑘≥−1
𝑦CR	𝑦	𝑘>1
𝑦CP	𝑦	𝑘<−1
𝑦CR	𝑦𝑅	𝑘>3/2
𝑦CP	𝑦𝑃	𝑘<−3/2