Research Article

Marshall–Olkin Extended Gumbel Type-II Distribution: Properties and Applications

Table 7

MLEs and their SE (in parentheses) for the fracture toughness of alumina data.

Distribution

MOEGT-II15.294 400 5 (14.227 853 1)10.421 918 7 (2.633 296 1)0.789 969 1 (0.222 581 7)69.729 425 3 (70.055 174 4)
EGT-II19.184 216 8 (1.949 256 8)0.990 687 2 (0.114 450 2)67.827 826 2 (35.304 429 3)
MOGT-II368.233 172 (298.072 646 0)61.918 359 (50.694 638 2)6.869 485 (0.511 673 3)
GT-II48.477 859 (10.825 173 9)3.022 359 (0.184 929 5)
MOF0.004 179 529 (0.001 304 203)22.086 001 867 (3.392 175 442)1.033 172 128 (0.072 468 604)
F3.611 630 (0.116 713 1)3.024 015 (0.185 130 9)
Burr III3.058 00 (0.179 916)51.880 55 7 (11.180 150)
LL227.626 726 (54.064 342 1)3.933 087 (0.176 544 8)
BIW15.446 107 5 (3.741 849 2)1.509 306 4 (0.335 202 4)0.312 665 8 (0.150 726 5)91.427 467 5 (59.284 776 0)
KIW11.252 737 6 (7.562 136 5)0.806 074 3 (0.109 693 1)2.683 321 0 (1.532 909 3)243.688 695 4 (189.885 147 0)