Table 4. Some members of the proposed class of family of estimators ${\overline{\mathit{y}}}_{\mathit{p}\mathit{r}\mathit{o}{\mathit{p}}_{\mathit{h}}}$.

S.No	K1h	K2h	Estimators
1	1	1	${\overline{y}}_{\mathrm{p}\mathrm{r}\mathrm{o}\mathrm{p}1h}={\sum }_{h=1}^L{W}_h{\overline{y}}_h\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{P_{1h}-p_{1h}}{P_{1h}+p_{1h}}\right)\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{P_{2h}-p_{2h}}{P_{2h}+p_{2h}}\right)$
2	1	2	${\overline{y}}_{\mathrm{p}\mathrm{r}\mathrm{o}\mathrm{p}2h}={\sum }_{h=1}^L{W}_h{\overline{y}}_h\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{P_{1h}-p_{1h}}{P_{1h}+p_{1h}}\right)\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{p_{2h}-P_{2h}}{p_{2h}+P_{2h}}\right)$
3	1	3	${\overline{y}}_{\mathrm{p}\mathrm{r}\mathrm{o}\mathrm{p}3h}={\sum }_{h=1}^L{W}_h{\overline{y}}_h\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{P_{1h}-p_{1h}}{P_{1h}+p_{1h}}\right)\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{n(P_{2h}-p_{2h})}{2N{P}_{2h}-n(p_{2h}+P_{2h})}\right)$
4	1	4	${\overline{y}}_{\mathrm{p}\mathrm{r}\mathrm{o}\mathrm{p}4h}={\sum }_{h=1}^L{W}_h{\overline{y}}_h\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{P_{1h}-p_{1h}}{P_{1h}+p_{1h}}\right)$
5	2	1	${\overline{y}}_{\mathrm{p}\mathrm{r}\mathrm{o}\mathrm{p}5h}={\sum }_{h=1}^L{W}_h{\overline{y}}_h\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{p_{1h}-P_{1h}}{p_{1h}+P_{1h}}\right)\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{P_{2h}-p_{2h}}{P_{2h}+p_{2h}}\right)$
6	2	2	${\overline{y}}_{\mathrm{p}\mathrm{r}\mathrm{o}\mathrm{p}6h}={\sum }_{h=1}^L{W}_h{\overline{y}}_h\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{p_{1h}-P_{1h}}{p_{1h}+P_{1h}}\right)\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{p_{2h}-P_{2h}}{p_{2h}+P_{2h}}\right)$
7	2	3	${\overline{y}}_{\mathrm{p}\mathrm{r}\mathrm{o}\mathrm{p}7h}={\sum }_{h=1}^L{W}_h{\overline{y}}_h\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{p_{1h}-P_{1h}}{p_{1h}+P_{1h}}\right)\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{n(P_{2h}-p_{2h})}{2N{P}_{2h}-n(p_{2h}+P_{2h})}\right)$
8	2	4	${\overline{y}}_{\mathrm{p}\mathrm{r}\mathrm{o}\mathrm{p}8h}={\sum }_{h=1}^L{W}_h{\overline{y}}_h\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{p_{1h}-P_{1h}}{p_{1h}+P_{1h}}\right)$
9	3	1	${\overline{y}}_{\mathrm{p}\mathrm{r}\mathrm{o}\mathrm{p}9h}={\sum }_{h=1}^L{W}_h{\overline{y}}_h\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{n(P_{1h}-p_{1h})}{2N{P}_{1h}-\left(n\right(p_{1h}+P_{1h})}\right)\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{P_{2h}-p_{2h}}{P_{2h}+p_{2h}}\right)$
10	3	2	${\overline{y}}_{\mathrm{p}\mathrm{r}\mathrm{o}\mathrm{p}10h}={\sum }_{h=1}^L{W}_h{\overline{y}}_h\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{n(P_{1h}-p_{1h})}{2N{P}_{1h}-n(p_{1h}+P_{1h})}\right)\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{p_{2h}-P_{2h}}{p_{2h}+P_{2h}}\right)$
11	3	3	${\overline{y}}_{\mathrm{p}\mathrm{r}\mathrm{o}\mathrm{p}11h}={\sum }_{h=1}^L{W}_h{\overline{y}}_h\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{n(P_{1h}-p_{1h})}{2N{P}_{1h}-n(p_{1h}+P_{1h})}\right)\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{n(P_{2h}-p_{2h})}{2N{P}_{2h}-\left(n\right(p_{2h}+P_{2h})}\right)$
12	3	4	${\overline{y}}_{\mathrm{p}\mathrm{r}\mathrm{o}\mathrm{p}12h}={\sum }_{h=1}^L{W}_h{\overline{y}}_h\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{n(P_{1h}-p_{1h})}{2N{P}_{1h}-n(p_{1h}+P_{1h})}\right)$
13	4	1	${\overline{y}}_{\mathrm{p}\mathrm{r}\mathrm{o}\mathrm{p}13h}={\sum }_{h=1}^L{W}_h{\overline{y}}_h\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{P_{2h}-p_{2h}}{P_{2h}+p_{2h}}\right)$
14	4	2	${\overline{y}}_{\mathrm{p}\mathrm{r}\mathrm{o}\mathrm{p}14h}={\sum }_{h=1}^L{W}_h{\overline{y}}_h\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{p_{2h}-P_{2h}}{p_{2h}+P_{2h}}\right)$
15	4	3	${\overline{y}}_{\mathrm{p}\mathrm{r}\mathrm{o}\mathrm{p}15h}={\sum }_{h=1}^L{W}_h{\overline{y}}_h\mathrm{e}\mathrm{x}\mathrm{p}\left(\frac{n(P_{2h}-p_{2h})}{2N{P}_{2h}-n(p_{2h}+P_{2h})}\right)$
16	4	4	${\overline{y}}_{\mathrm{p}\mathrm{r}\mathrm{o}\mathrm{p}16h}={\sum }_{h=1}^L{W}_h{\overline{y}}_h$