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

Table 4

Comparison of AOEs in 10 000 simulations. See text for details.

Estimator	Coverage	Neg. bias	Pos. bias	Lo. quart.	Median	Up. quart.
𝑦^∗(0.6092)	100%	0%	0%	0.5732	0.5829	0.5928
𝑦^(−0.6092)	100%	0%	0%	0.5738	0.5835	0.5935
𝑦0.6092	100%	0%	0%	0.5732	0.5829	0.5928
𝑦0.6092𝑡	100%	0%	0%	0.5719	0.5816	0.5915
𝑦𝑅𝑃(0.8046)	99.99%	0%	0.01%	0.5749	0.5850	0.5953
Estimator	MSE					MSE(𝑦)/MSE(est)
𝑦^∗(0.6092)		0.000212				598.93%
𝑦^(−0.6092)		0.000214				593.91%
𝑦0.6092		0.000212				598.92%
𝑦0.6092𝑡		0.000215				590.51%
𝑦𝑅𝑃(0.8046)		0.000228				555.09%