Research Article
The Risk Analysis and Modeling of Byco Petroleum in Pakistan Using Extreme Value Theory
Table 4
Weekly minima GEV and GL PWM parameter estimates and AD
value.
| GEV estimates | GL estimates | Subperiods | N | Alpha | Beta | Gamma | value | Alpha | Beta | Gamma | value | Better fit |
| S = 1 | | 384 | −0.0249 | 0.0732 | 0.3339 | 0.136 | −0.0003 | 0.0403 | 0.02757 | 0.039 | GEV |
| S = 2 | | 192 | −0.0323 | 0.0864 | 0.3617 | 0.338 | −0.0028 | 0.0470 | 0.0425 | 0.185 | GEV | | 192 | −0.0183 | 0.0582 | 0.2578 | 0.035 | 0.0023 | 0.0334 | −0.1456 | 0.149 | GL |
| S = 4 | | 96 | −0.0319 | 0.0705 | 0.1735 | 0.696 | −0.0061 | 0.0423 | −0.0631 | 0.335 | GEV | | 96 | −0.0314 | 0.1003 | 0.5300 | 0.029 | 0.0007 | 0.0562 | 0.1288 | 0.069 | GL | | 96 | −0.0174 | 0.0633 | 0.2624 | 0.455 | 0.0050 | 0.0362 | −0.0119 | 0.520 | GL | | 96 | −0.0197 | 0.0536 | 0.2432 | 0.160 | −0.0006 | 0.0308 | −0.0171 | 0.160 | GL |
| S = 10 | | 38 | −0.0286 | 0.0710 | 0.3456 | 0.610 | −0.0041 | 0.0389 | 0.0338 | 0.435 | GEV | | 38 | −0.0356 | 0.0824 | 0.0425 | 0.640 | −0.0024 | 0.0532 | −0.1428 | 0.460 | GEV | | 38 | −0.0246 | 0.0587 | 0.4581 | 0.589 | −0.0053 | 0.0304 | 0.0928 | 0.367 | GEV | | 38 | −0.0034 | 0.0615 | 0.5681 | 0.009 | 0.0160 | 0.0302 | 0.1473 | 0.165 | GL | | 38 | −0.0661 | 0.1445 | 0.5422 | 0.330 | −0.0198 | 0.0724 | 0.1347 | 0.178 | GEV | | 38 | −0.0140 | 0.0592 | 0.2419 | 0.210 | 0.0071 | 0.0342 | −0.0235 | 0.289 | GL | | 38 | −0.0226 | 0.0855 | 0.2170 | 0.035 | 0.0081 | 0.0502 | 0.0378 | 0.066 | GL | | 38 | 0.0217 | 0.0393 | 0.2585 | 0.164 | −0.0077 | 0.0225 | −0.0141 | 0.106 | GEV | | 38 | −0.0186 | 0.0572 | 0.4396 | 0.052 | 0.0003 | 0.0299 | 0.0834 | 0.063 | GL | | 38 | −0.0130 | 0.5508 | 0.2001 | 0.936 | 0.0069 | 0.0326 | −0.0475 | 0.936 | GL |
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