Table 12.

PRE using Population-I based on the simulation study.

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	258.3294	476.4254	491.0944
${\hat{\overline{Y}}}_{R,PPS}$	469.4821	258.3294	476.4049	491.0942
${\hat{\overline{Y}}}_{P,PPS}$	28.2312	258.1202	476.4257	491.0948
${\hat{\overline{Y}}}_{Reg,PPS}$	474.6923	258.1202	476.111	491.0936
${\hat{\overline{Y}}}_{Rao,PPS}$	474.6925	258.3294	476.4196	491.0944
${\hat{\overline{Y}}}_{BR,PPS}$	258.3294	258.1202	476.3225	491.0942
${\hat{\overline{Y}}}_{BP,PPS}$	48.74025	258.1202	476.4253	491.0944
${\hat{\overline{Y}}}_{H1,PPS}$	474.6945	258.3294	476.4237	491.0945
${\hat{\overline{Y}}}_{H2,PPS}$	474.6927	258.1202	476.4023	491.0944
${\hat{\overline{Y}}}_{EE,PPS}$	100.0003	104.0231	474.6925	491.0899

PRE: percentage relative efficiency.