Table 5 MLE estimates for the parameters of \(\mathcal {EW}\) distribution with Nelore data via BFGS, SANN, and Nelder–Mead algorithms
Methods | Parameters | Estimates | SE | Confidence Interval (0.95) |
|---|---|---|---|---|
BFGS | b | 40.34715566 | 1.479593e+01 | \(\left[ 40.13701054; 40.55730079\right]\) |
c | 0.01018772 | 5.397052e−04 | \(\left[ 0.01018006; 0.01019539\right]\) | |
\(\beta\) | 2.85355684 | 1.892528e−01 | \(\left[ 2.85086890; 2.85624478\right]\) | |
SANN | b | 4.109734969 | 0.8629722253 | \(\left[ 4.097478262 ; 4.121991676\right]\) |
c | 0.007648857 | 0.0003420323 | \(\left[ 0.007643999 ; 0.007653715\right]\) | |
\(\beta\) | 2.942210704 | 0.2948368954 | \(\left[ 2.938023166 ; 2.946398243\right]\) | |
Nelder–Mead | b | 58.782451666 | 67.03485145 | \(\left[ 56.87827328 ; 60.68663006\right]\) |
c | 0.009599516 | 0.00169215 | \(\left[ 0.00955145 ; 0.00964758\right]\) | |
\(\beta\) | 3.443419884 | 0.81707386 | \(\left[ 3.42021025 ; 3.46662952\right]\) |