Table 2. Percentage relative efficiency (PRE) with ${\overline{\mathit{y}}}_{\mathbf{0}}$.

Estimator	Population 1	Population 2	Population 3	Population 4
${\overline{y}}_0$	100	100	100	100
${\overline{y}}_R$	151.0459	118.3598	123.3652	207.0429
${\overline{y}}_P$	27.79133	64.59406	59.07796	31.9321
${\overline{y}}_{\mathrm{e}\mathrm{x}{\mathrm{p}}_{\left(R\right)}}$	182.3193	114.5063	118.7098	185.2997
${\overline{y}}_{\mathrm{e}\mathrm{x}{\mathrm{p}}_{\left(P\right)}}$	49.58877	81.63674	77.91625	53.64828
${\overline{y}}_{K{B}_{\left(RP\right)}}$	191.1228	118.6659	123.9537	218.8696
${\overline{y}}_{S{K}_{\left(DR\right)}}$	48.82051	103.427	90.63836	77.81008
${\overline{y}}_{S{K}_{\left(DP\right)}}$	13.37497	32.04538	33.25377	16.268981
${\overline{y}}_{\mathrm{p}\mathrm{r}\mathrm{o}\mathrm{p}}$	551.1775	141.3846	127.9299	222.428