Research Article
On the Extended Generalized Inverted Kumaraswamy Distribution
Table 2
Mean estimates, AB, and RMSEs of EGIKw-Burr XII distribution for some parameter values.
| n | Par | III | IV | MLE | RMSE | AB | MLE | RMSE | AB |
| 25 | α | 2.052153 | 0.253051 | −0.05215 | 2.055445 | 0.391286 | −0.30544 | β | 0.519755 | 0.132899 | 0.080246 | 0.516816 | 0.286654 | −0.26682 | γ | 1.538797 | 0.099868 | −0.0388 | 1.539888 | 0.101188 | −0.03989 | λ | 1.712694 | 0.569639 | 0.037306 | 1.721858 | 1.76664 | −1.67186 | ψ | 0.488655 | 0.051269 | −0.03865 | 0.488123 | 0.214635 | 0.211877 | ξ | 5.542568 | 2.588892 | −1.54257 | 5.512202 | 3.89718 | −3.2622 |
| 50 | α | 2.014992 | 0.176476 | −0.01499 | 2.03334 | 0.332539 | −0.28334 | β | 0.506935 | 0.117908 | 0.093065 | 0.511119 | 0.27147 | −0.26112 | γ | 1.515558 | 0.061392 | −0.01556 | 1.520918 | 0.065155 | −0.02092 | λ | 1.577739 | 0.372816 | 0.172261 | 1.612466 | 1.599495 | −1.56247 | ψ | 0.495612 | 0.051045 | −0.04561 | 0.493362 | 0.20797 | 0.206638 | ξ | 5.133847 | 1.675164 | −1.13385 | 5.250112 | 3.252078 | −3.00011 |
| 100 | α | 2.017654 | 0.121994 | −0.01765 | 2.009871 | 0.287532 | −0.25987 | β | 0.503799 | 0.108756 | 0.096201 | 0.5049 | 0.259768 | −0.2549 | γ | 1.510631 | 0.042348 | −0.01063 | 1.50819 | 0.042492 | −0.00819 | λ | 1.555648 | 0.289758 | 0.194352 | 1.542143 | 1.507662 | −1.49214 | ψ | 0.496423 | 0.049195 | −0.04642 | 0.497424 | 0.203226 | 0.202576 | ξ | 5.073991 | 1.347996 | −1.07399 | 5.052891 | 2.916263 | −2.80289 |
| 200 | α | 2.00675 | 0.085296 | −0.00675 | 2.006998 | 0.27192 | −0.257 | β | 0.5025 | 0.103631 | 0.097501 | 0.501314 | 0.25384 | −0.25131 | γ | 1.504946 | 0.028846 | −0.00495 | 1.504844 | 0.029993 | −0.00484 | λ | 1.524199 | 0.267619 | 0.225801 | 1.52528 | 1.483044 | −1.47528 | ψ | 0.498184 | 0.049478 | −0.04818 | 0.498387 | 0.201937 | 0.201613 | ξ | 5.000275 | 1.141549 | −1.00028 | 4.992079 | 2.797957 | −2.74208 |
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