Table 8.

PRE using Population-III.

Estimators		${\widehat{\overline{\mathit{Y}}}}_{(\mathit{S},\mathit{P}\mathit{P}\mathit{S})}^{\mathbf{\ast }}$	${\widehat{\overline{\mathit{Y}}}}_{(\mathit{G}\mathit{K},\mathit{P}\mathit{P}\mathit{S})}^{\mathbf{\ast }}$	${\widehat{\overline{\mathit{Y}}}}_{(\mathit{P}\mathit{r}\mathit{o}\mathit{p},\mathit{P}\mathit{P}\mathit{S})}^{\mathbf{\ast }}$
${\hat{\overline{Y}}}_{u,PPS}$	100	91.16594	114.3605	138.5317
${\hat{\overline{Y}}}_{R,PPS}$	55.3337	93.63389	114.5386	137.4339
${\hat{\overline{Y}}}_{P,PPS}$	38.10701	90.94712	115.0874	138.6312
${\hat{\overline{Y}}}_{Reg,PPS}$	103.5533	92.80341	114.7058	137.7988
${\hat{\overline{Y}}}_{Rao,PPS}$	103.5533	90.96396	115.0839	138.6235
${\hat{\overline{Y}}}_{BR,PPS}$	111.9295	90.95436	115.0859	138.6279
${\hat{\overline{Y}}}_{BP,PPS}$	90.93532	92.12913	114.8431	138.0983
${\hat{\overline{Y}}}_{H1,PPS}$	66.30558	90.93677	115.0896	138.6359
${\hat{\overline{Y}}}_{H2,PPS}$	116.330	100.0531	113.2671	134.6519
${\hat{\overline{Y}}}_{EE,PPS}$	112.535	100.5326	111.9315	131.7102

PRE: percentage relative efficiency.