Table 9.

MSE using Population-IV.

Estimators		${\widehat{\overline{\mathit{Y}}}}_{(\mathit{S},\mathit{P}\mathit{P}\mathit{S})}^{\mathbf{\ast }}$	${\widehat{\overline{\mathit{Y}}}}_{(\mathit{G}\mathit{K},\mathit{P}\mathit{P}\mathit{S})}^{\mathbf{\ast }}$	${\widehat{\overline{\mathit{Y}}}}_{(\mathit{P}\mathit{r}\mathit{o}\mathit{p},\mathit{P}\mathit{P}\mathit{S})}^{\mathbf{\ast }}$
${\hat{\overline{Y}}}_{u,PPS}$	1057763	1176787	967856.1	874307.9
${\hat{\overline{Y}}}_{R,PPS}$	1876050	1176083	967911	874391
${\hat{\overline{Y}}}_{P,PPS}$	2559487	1176893	967847.9	874295.4
${\hat{\overline{Y}}}_{Reg,PPS}$	1032596	1176327	967891.9	874362.1
${\hat{\overline{Y}}}_{Rao,PPS}$	982810.8	1176892	967847.9	874295.5
${\hat{\overline{Y}}}_{BR,PPS}$	1176905	1176896	967847.6	874295.1
${\hat{\overline{Y}}}_{BP,PPS}$	1518623	1176144	967906.2	874383.7
${\hat{\overline{Y}}}_{H1,PPS}$	895768.3	1176903	967847	874294.2
${\hat{\overline{Y}}}_{H2,PPS}$	952013.35	1171676	968255	874911.8
${\hat{\overline{Y}}}_{EE,PPS}$	973909.40	1055381	982807.9	897499

MSE: mean squared error.