Table 13.

MSE using Population-II based on the simulation study.

Estimators		${\widehat{\overline{\mathit{Y}}}}_{(\mathit{S},\mathit{P}\mathit{P}\mathit{S})}^{\mathbf{\ast }}$	${\widehat{\overline{\mathit{Y}}}}_{(\mathit{G}\mathit{K},\mathit{P}\mathit{P}\mathit{S})}^{\mathbf{\ast }}$	${\widehat{\overline{\mathit{Y}}}}_{(\mathit{P}\mathit{r}\mathit{o}\mathit{p},\mathit{P}\mathit{P}\mathit{S})}^{\mathbf{\ast }}$
${\hat{\overline{Y}}}_{u,PPS}$	1.097883	0.351711	0.1064713	0.1060176
${\hat{\overline{Y}}}_{R,PPS}$	0.1083106	0.351711	0.1064953	0.1060176
${\hat{\overline{Y}}}_{P,PPS}$	4.098543	0.3517714	0.106471	0.1060517
${\hat{\overline{Y}}}_{Reg,PPS}$	0.1082472	0.3517714	0.1068609	0.1060517
${\hat{\overline{Y}}}_{Rao,PPS}$	0.1082472	0.351711	0.1064787	0.1060176
${\hat{\overline{Y}}}_{BR,PPS}$	0.351711	0.3517714	0.106609	0.1060517
${\hat{\overline{Y}}}_{BP,PPS}$	2.346827	0.3517714	0.1064713	0.1060517
${\hat{\overline{Y}}}_{H1,PPS}$	0.108245	0.351711	0.1064735	0.1060176
${\hat{\overline{Y}}}_{H2,PPS}$	0.1082468	0.3517714	0.1064966	0.1060517
${\hat{\overline{Y}}}_{EE,PPS}$	1.097874	1.061622	0.1081982	0.1064735

MSE: mean squared error.