Research Article
On the Extended Generalized Inverted Kumaraswamy Distribution
Table 1
Mean estimates, AB, and RMSEs of EGIKw-Burr XII distribution for some parameter values.
| n | Par | I | II | MLE | RMSE | AB | MLE | RMSE | AB |
| 25 | α | 2.031369 | 0.782508 | −0.73137 | 2.050077 | 1.869672 | −1.85008 | β | 0.506018 | 0.426535 | −0.40602 | 0.523979 | 0.111397 | −0.02398 | γ | 1.539714 | 0.101712 | −0.03971 | 1.536192 | 1.391208 | −1.38619 | λ | 1.679459 | 1.620032 | −1.47946 | 1.721563 | 1.589122 | −1.47156 | ψ | 0.513995 | 0.749618 | 0.736005 | 0.495447 | 2.80828 | 2.804553 | Ξ | 5.536725 | 2.076617 | −0.53672 | 5.608749 | 3.802548 | −3.10875 |
| 50 | α | 2.003241 | 0.732436 | −0.70324 | 2.027523 | 1.835541 | −1.82752 | Β | 0.4953 | 0.406724 | −0.3953 | 0.511869 | 0.073648 | −0.01187 | γ | 1.516571 | 0.060813 | −0.01657 | 1.519474 | 1.370756 | −1.36947 | λ | 1.553486 | 1.408353 | −1.35349 | 1.598642 | 1.388082 | −1.34864 | ψ | 0.514657 | 0.745424 | 0.735343 | 0.49416 | 2.805931 | 2.80584 | ξ | 5.140693 | 1.181488 | −0.14069 | 5.230354 | 2.985746 | −2.73035 |
| 100 | α | 1.999447 | 0.71545 | −0.69945 | 2.011497 | 1.815691 | −1.8115 | β | 0.497415 | 0.403892 | −0.39741 | 0.505193 | 0.051041 | −0.00519 | γ | 1.508029 | 0.040566 | −0.00803 | 1.508947 | 1.359594 | −1.35895 | λ | 1.519543 | 1.347079 | −1.31954 | 1.544223 | 1.312065 | −1.29422 | ψ | 0.51066 | 0.746059 | 0.73934 | 0.497226 | 2.80282 | 2.802774 | ξ | 5.059594 | 0.784378 | −0.05959 | 5.06391 | 2.690264 | −2.56391 |
| 200 | α | 2.001363 | 0.710236 | −0.70136 | 2.009553 | 1.811641 | −1.80955 | β | 0.497136 | 0.400706 | −0.39714 | 0.50296 | 0.03563 | −0.00296 | γ | 1.504634 | 0.029312 | −0.00463 | 1.505497 | 1.35581 | −1.3555 | λ | 1.513101 | 1.327808 | −1.3131 | 1.52703 | 1.285339 | −1.27703 | ψ | 0.50596 | 0.747874 | 0.74404 | 0.498405 | 2.801618 | 2.801595 | ξ | 5.000164 | 0.562188 | −0.00016 | 5.025616 | 2.588476 | −2.52562 |
|
|