Table 16 MSEs of population DF estimators using simulation.
From: Construction of improved comprehensive classes of estimators for population distribution function
Estimator | Population I | Population II | Population III |
|---|---|---|---|
\(\widehat{\mathcal{F}}(y)\) | 0.0022520 | 0.0022500 | 0.0022520 |
\({\widehat{\mathcal{F}}}_{R}(\mathcal{Y})\) | 0.0064510 | 0.0026960 | 0.0012260 |
\({\widehat{\mathcal{F}}}_{P}(\mathcal{Y})\) | 0.0026130 | 0.0064800 | 0.0077600 |
\({\widehat{\mathcal{F}}}_{BT,R}(\mathcal{Y})\) | 0.0037770 | 0.0018730 | 0.0011830 |
\({\widehat{\mathcal{F}}}_{BT,P}(\mathcal{Y})\) | 0.0018750 | 0.0038270 | 0.0044330 |
\({\widehat{\mathcal{F}}}_{Reg}(\mathcal{Y})\) | 0.0018580 | 0.0018530 | 0.0010650 |
\({\widehat{\mathcal{F}}}_{R,D}(\mathcal{Y})\) | 0.0018450 | 0.0018400 | 0.0010600 |
\({\widehat{\mathcal{F}}}_{G,K}(\mathcal{Y})\) | 0.0018440 | 0.0018390 | 0.0010600 |
\({\widehat{\mathcal{F}}}_{P{r}_{1}}(\mathcal{Y})\) | 0.0018390 | 0.0018370 | 0.0010580 |
\({\widehat{\mathcal{F}}}_{P{r}_{2}}(\mathcal{Y})\) | 0.0017370 | 0.0016740 | 0.0008970 |
