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. 2023 Nov 16;18(11):e0290885. doi: 10.1371/journal.pone.0290885

Table 5. MLEs estimates, the corresponding standard errors (given in parentheses) and goodness-of-fit measure for all fitted models and course types considered.

Distributions Civil engineering Economics
Estimates W* Ranking Estimates W* Ranking
Beta(φ, μ) 8.7209 0.1771 0.4402 9 10.8025 0.1278 0.0691 2
(0.4763) (0.0048) (1.3524) (0.0084)
KW(ϕ,μ) 1.3856 0.1553 0.3650 8 1.2090 0.1052 0.0706 3
(0.0494) (0.0049) (0.0895) (0.0085)
UG(ϕ,μ) 5.569 0.1771 0.5817 10 6.8278 0.1265 0.0787 7
(0.2983) (0.0049) (0.8207) (0.0087)
UBS(β,μ) 0.4411 1.8501 0.2562 4 0.4238 2.2141 0.0877 8
(0.0122) (0.0310) (0.0261) (0.0798)
UW(β,μ) 2.4602 0.1382 1.3007 11 2.8739 0.0920 0.1929 10
(0.0719) (0.0051) (0.1902) (0.0078)
CUW(β,μ) 1.3224 0.1572 0.3128 5 1.1478 0.1043 0.0712 5
(0.0409) (0.0050) (0.0723) (0.0088)
URBXII(β,μ) 1.2876 0.1576 0.3167 6 1.1415 0.1049 0.072 6
(0.0364) (0.0050) (0.0670) (0.0088)
URG(β,μ) 0.7173 0.1586 0.1719 1 0.7471 0.0947 0.0710 4
(0.1731) (0.0059) (0.3012) (0.0084)
URL(β,μ) 50.2648 0.1456 0.2462 3 1.111 0.0955 0.0687 1
(54.5751) (0.0049) (0.6462) (0.0087)
URR(μ) 0.2133 0.3412 7 0.2074 0.3673 11
(0.0033) (0.0072)
URW(β,μ) 1.1797 0.1609 0.2117 2 0.9861 0.1047 0.0936 9
(0.0358) (0.0053) (0.0585) (0.0096)
Distributions Computer sciences Control engineering
Estimates W* Ranking Estimates W* Ranking
Beta(φ, μ) 8.689 0.1695 0.1371 8 9.1876 0.1706 0.0494 8
(0.7654) (0.0075) (1.3106) (0.0119)
KW(ϕ,μ) 1.3346 0.1466 0.1038 7 1.3969 0.1496 0.0371 7
(0.0761) (0.0076) (0.1285) (0.0121)
UG(ϕ,μ) 5.5231 0.1695 0.215 10 5.8359 0.1707 0.0756 10
(0.4751) (0.0078) (0.8152) (0.0124)
UBS(β,α) 0.4455 1.9038 0.071 4 0.4299 1.8902 0.0294 3
(0.0197) (0.0518) (0.0309) (0.0806)
UW(β,μ) 2.4404 0.1304 0.5647 11 2.5101 0.133 0.2082 11
(0.1141) (0.0080) (0.1906) (0.0128)
CUW(β,μ) 1.2758 0.148 0.0857 6 1.3319 0.1514 0.0315 5
(0.0626) (0.0079) (0.1068) (0.0125)
URBXII(β,μ) 1.2489 0.1485 0.0833 5 1.2956 0.1518 0.0309 4
(0.0561) (0.0079) (0.0949) (0.0126)
URG(β,μ) 0.2618 0.1446 0.0564 2 0.8688 0.1532 0.0318 6
(0.2490) (0.0088) (0.4991) (0.0148)
URL(β,μ) 28.8352 0.1396 0.0673 3 33.445 0.1394 0.0282 2
(51.2034) (0.0076) (76.399) (0.0123)
URR(μ) 0.2111 0.1705 9 0.2038 0.0676 9
(0.0052) (0.0082)
URW(β,μ) 1.1321 0.1512 0.0561 1 1.1936 0.1547 0.0258 1
(0.0541) (0.0083) (0.0942) (0.0131)