Table 4.

PRE using Population-I.

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	99.86404	109.9117	114.0777
${\hat{\overline{Y}}}_{R,PPS}$	63.49505	99.91337	109.9095	114.0739
${\hat{\overline{Y}}}_{P,PPS}$	36.8565	99.85663	109.912	114.0783
${\hat{\overline{Y}}}_{Reg,PPS}$	107.6177	99.89625	109.9103	114.0752
${\hat{\overline{Y}}}_{Rao,PPS}$	109.3317	99.85734	109.912	114.0782
${\hat{\overline{Y}}}_{BR,PPS}$	99.8558	99.85688	109.912	114.0782
${\hat{\overline{Y}}}_{BP,PPS}$	63.67018	99.88673	109.9107	114.076
${\hat{\overline{Y}}}_{H1,PPS}$	113.0628	99.85596	109.912	114.0783
${\hat{\overline{Y}}}_{H2,PPS}$	110.568	100.0701	109.9027	114.0619
${\hat{\overline{Y}}}_{EE,PPS}$	109.91	100.4023	109.3318	113.036

PRE: percentage relative efficiency.