Table 1 The AEs, biases and MSEs based on 1000 simulations of the GW-N distribution with α=2, β=1.5, 0.5 μ=0 and σ=1, with n=50, 150 and 300
From: A new generalized Weibull family of distributions: mathematical properties and applications
β=1.5 | β=0.5 | ||||||||
|---|---|---|---|---|---|---|---|---|---|
n | Parameter | Mean | Bias | MSE | Parameter | Mean | Bias | MSE | |
50 | α | 2.2666 | 0.2666 | 18.1264 | α | 1.5286 | –0.4714 | 2.5046 | |
β | 6.2918 | 4.7918 | 5117.984 | β | 0.7304 | 0.2304 | 0.3708 | ||
μ | –1.0586 | –1.0586 | 208.3427 | μ | –0.8475 | –0.8475 | 2.5944 | ||
σ | 3.5544 | 2.5544 | 1831.613 | σ | 0.9704 | –0.0296 | 0.3156 | ||
150 | α | 2.1093 | 0.1093 | 2.7102 | α | 1.7036 | –0.2964 | 1.7252 | |
β | 1.7796 | 0.2796 | 1.2247 | β | 0.6089 | 0.1089 | 0.0724 | ||
μ | –0.1175 | –0.1175 | 0.2673 | μ | –0.5265 | –0.5265 | 1.8487 | ||
σ | 1.1065 | 0.1065 | 0.3165 | σ | 0.9374 | –0.0626 | 0.0423 | ||
300 | α | 2.1755 | 0.1755 | 2.0205 | α | 1.8607 | –0.1393 | 1.1476 | |
β | 1.6044 | 0.1044 | 0.3035 | β | 0.5579 | –0.4421 | 0.2328 | ||
μ | –0.0329 | –0.0329 | 0.1596 | μ | –0.2802 | –0.2802 | 1.2004 | ||
σ | 1.0379 | 0.0379 | 0.0817 | σ | 0.9581 | –0.0419 | 0.0201 | ||