Research Article

A Novel Generalized-M Family: Heavy-Tailed Characteristics with Applications in the Engineering Sector

Table 1

The results of the simulation study of the NGen-Weibull model for .

nParametersMLEsMSEsBiases

251.572727000.105651450.17272731
1.154072000.065730260.15407212
3.230664 006.477324402.03066430

501.522884000.053602540.12288441
1.138389000.044146550.13838869
2.696242004.516387001.49624160

751.497386000.032608280.09738595
1.121207000.031705360.12120685
2.500344003.782307301.30034420

1001.484352000.025873310.08435211
1.109394000.027527660.10939399
2.249304002.821263701.04930410

1501.463615000.016553460.06361484
1.095838000.023074590.09583788
2.164244002.765360400.96424440

2001.456049000.014086980.05604902
1.088937000.020164550.08893705
2.022918002.185587900.82291830

3001.442332000.009481090.04233205
1.074784000.014691600.07478449
1.809146001.479983100.60914590

4001.434387000.007104420.03438667
1.065242000.012516530.06524163
1.679365001.089319200.47936480

5001.438202000.006480740.03820168
1.065776000.012415150.06577620
1.675391001.024791900.47539100

6001.430618000.005280210.03061809
1.060799000.011330820.06079897
1.647639001.010684400.44763910

7001.432310000.005165720.03231025
1.059613000.010921450.05961322
1.622840000.914562000.42284040

7501.414981000.004000020.02498083
1.049650000.008706710.04964955
1.510436000.636275100.32043650