Table 1 Average -log likelihoods and their standard errors for Weibull (W), hypertabastic (HT), log-logistic (LL) and log-normal (LN) models based on 1000 simulations from eleven parameter combinations of two parameter Weibull, log-normal and gamma distributions
| Â | W(1,1) | W(1,2) | W(2,1) | W(1,3) | W(3,1) | W(1,4) | W(4,1) | W(.5,.5) | W(.5,1) | W(1,.5) | W(2,3) |
|---|---|---|---|---|---|---|---|---|---|---|---|
W | 180.2 | 263.4 | 132 | 312.2 | 94.5 | 347.1 | 66.2 | 110.3 | 192.8 | 97.5 | 263.6 |
| Â | (8.8) | (12.1) | (6.8) | (14.1) | (8.6) | (16.2) | (9.2) | (21.4) | (21) | (8.6) | (10.7) |
HT | 181.9 | 265.4 | 133.7 | 314.5 | 96.1 | 349.6 | 67.8 | 112.2 | 194.6 | 98.9 | 267 |
| Â | (9.1) | (12.4) | (7.1) | (14.5) | (8.9) | (16.6) | (9.3) | (21.3) | (21.1) | (8.6) | (11.2) |
LL | 183.8 | 267.1 | 135.7 | 316 | 98.1 | 350.9 | 69.8 | 114 | 196.1 | 101.1 | 267.4 |
| Â | (9.3) | (12.7) | (7.3) | (14.8) | (9) | (16.9) | (9.3) | (21.5) | (21.3) | (8.8) | (11.4) |
LN | 188.3 | 271.6 | 140 | 320.4 | 102.5 | 355.3 | 74 | 118.4 | 200.8 | 105.3 | 272 |
| Â | (10.4) | (13.4) | (8.6) | (15.7) | (8.1) | (17.3) | (10.3) | (21.5) | (21.7) | (9.7) | (11.4) |
| Â | LN(1,1) | LN(1,2) | LN(2,1) | LN(1,3) | LN(3,1) | LN(1,4) | LN(4,1) | LN(.5,.5) | LN(.5,1) | LN(1,.5) | LN(2,3) |
W | 359.7 | 443.7 | 478.6 | 494.2 | 600.2 | 530.1 | 719.5 | 216.8 | 300 | 277 | 610.3 |
| Â | (18.6) | (27) | (23.6) | (37) | (30.4) | (90.8) | (34.7) | (11.2) | (15.5) | (12.4) | (41) |
HT | 352.2 | 436.7 | 470.4 | 486.6 | 591.7 | 517.4 | 712 | 209.3 | 292.9 | 268.7 | 603.2 |
| Â | (17.6) | (26.5) | (23.1) | (35) | (29.7) | (46.4) | (34.1) | (10.3) | (14.9) | (11.7) | (40.6) |
LL | 351.9 | 436.1 | 470.8 | 486.7 | 592.4 | 516.5 | 711.8 | 209 | 292.3 | 269.1 | 602.6 |
| Â | (17.6) | (26.6) | (23.1) | (36.9) | (29.7) | (46.6) | (34.2) | (10.2) | (15) | (11.7) | (40.7) |
LN | 350.4 | 434.3 | 469.4 | 485.2 | 590.9 | 515 | 710.4 | 207.6 | 290.9 | 267.7 | 601.5 |
| Â | (17.6) | (26.6) | (23.1) | (36.9) | (29.6) | (46.6) | (34.2) | (10.1) | (14.9) | (11.6) | (40.5) |
| Â | G(1,1) | G(1,2) | G(2,1) | G(1,3) | G(3,1) | G(4,1) | G(4,1) | G(.5,.5) | G(.5,1) | G(1,.5) | G(2,3) |
W | 180.3 | 97.4 | 250.8 | 48.7 | 283.7 | 305.5 | 305.6 | 155 | 71.9 | 263.2 | 118.3 |
| Â | (8.8) | (8.5) | (10) | (9.2) | (12.1) | (13.3) | (13.3) | (15.7) | (15.4) | (12.1) | (7.6) |
HT | 181.9 | 98.9 | 250.5 | 50.2 | 282.6 | 303.5 | 303.6 | 159.2 | 75.8 | 265.1 | 117.8 |
| Â | (9.1) | (8.7) | (10.1) | (9.3) | (12.2) | (13.2) | (13.2) | (15.8) | (15.5) | (12.5) | (7.7) |
LL | 183.9 | 101.1 | 251.5 | 52.4 | 283.1 | 303.9 | 303.9 | 162.1 | 78.9 | 266.8 | 119.1 |
| Â | (9.3) | (8.9) | (10.3) | (9.3) | (12.3) | (13.2) | (13.3) | (15.9) | (15.5) | (12.8) | (7.8) |
LN | 188.3 | 105.6 | 253.6 | 57.1 | 284.2 | 304.5 | 304.6 | 169.6 | 86.4 | 271.1 | 121.3 |
| Â | (10.3) | (9.8) | (10.8) | (10.2) | (12.7) | (13.4) | (13.4) | (16.4) | (16.2) | (13.7) | (8.6) |