Table 14.

PRE using Population-II 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	312.1549	1031.154	1035.567
${\hat{\overline{Y}}}_{R,PPS}$	1013.643	312.1549	1030.921	1035.567
${\hat{\overline{Y}}}_{P,PPS}$	26.78716	312.1013	1031.157	1035.234
${\hat{\overline{Y}}}_{Reg,PPS}$	1014.237	312.1013	1027.395	1035.234
${\hat{\overline{Y}}}_{Rao,PPS}$	1014.237	312.1549	1031.083	1035.567
${\hat{\overline{Y}}}_{BR,PPS}$	312.1549	312.1013	1029.822	1035.234
${\hat{\overline{Y}}}_{BP,PPS}$	46.78159	312.1013	1031.154	1035.234
${\hat{\overline{Y}}}_{H1,PPS}$	1014.257	312.1549	1031.133	1035.567
${\hat{\overline{Y}}}_{H2,PPS}$	1014.241	312.1013	1030.697	1035.234
${\hat{\overline{Y}}}_{EE,PPS}$	100.0008	103.4115	1014.697	1031.133

PRE: percentage relative efficiency.