Table 17 PREs 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 |
|---|---|---|---|
\(\widehat{\mathcal{F}}(y)\) | 100 | 100 | 100 |
\({\widehat{\mathcal{F}}}_{R}(\mathcal{Y})\) | 34.90917 | 83.46483 | 183.5737 |
\({\widehat{\mathcal{F}}}_{P}(\mathcal{Y})\) | 86.18418 | 34.73246 | 29.01847 |
\({\widehat{\mathcal{F}}}_{BT,R}(\mathcal{Y})\) | 59.62183 | 120.1159 | 190.3484 |
\({\widehat{\mathcal{F}}}_{BT,P}(\mathcal{Y})\) | 120.0678 | 58.80547 | 50.79537 |
\({\widehat{\mathcal{F}}}_{Reg}(\mathcal{Y})\) | 121.1700 | 121.4586 | 211.4561 |
\({\widehat{\mathcal{F}}}_{R,D}(\mathcal{Y})\) | 122.0601 | 122.3173 | 212.3715 |
\({\widehat{\mathcal{F}}}_{G,K}(\mathcal{Y})\) | 122.0912 | 122.3487 | 212.4257 |
\({\widehat{\mathcal{F}}}_{P{r}_{1}}(\mathcal{Y})\) | 122.4285 | 122.4696 | 212.8426 |
\({\widehat{\mathcal{F}}}_{P{r}_{2}}(\mathcal{Y})\) | 129.6135 | 134.4366 | 250.9312 |
