A Two-Parameter Ratio-Product-Ratio Estimator Using Auxiliary Information

Table 2

Comparison of the estimators according to the absolute deviation from the population mean 𝑌 (in 10 000 simulations).

Deviation from population mean							Counts
𝑦^∗(0.6092)−𝑌	<	𝑦𝑅−𝑌	<	𝑦−𝑌	<	𝑦𝑃−𝑌	3 173
𝑦𝑅−𝑌	<	𝑦^∗(0.6092)−𝑌	<	𝑦−𝑌	<	𝑦𝑃−𝑌	2 978
𝑦^∗(0.6092)−𝑌	<	𝑦−𝑌	<	𝑦𝑅−𝑌	<	𝑦𝑃−𝑌	1 528
𝑦−𝑌	<	𝑦^∗(0.6092)−𝑌	<	𝑦𝑅−𝑌	<	𝑦𝑃−𝑌	972
𝑦𝑃−𝑌	<	𝑦−𝑌	<	𝑦^∗(0.6092)−𝑌	<	𝑦𝑅−𝑌	766
𝑦−𝑌	<	𝑦^∗(0.6092)−𝑌	<	𝑦𝑃−𝑌	<	𝑦𝑅−𝑌	308
𝑦−𝑌	<	𝑦𝑃−𝑌	<	𝑦^∗(0.6092)−𝑌	<	𝑦𝑅−𝑌	275