Table 18 Parameter estimates and goodness-of fit statistics for data set VIII.
Model | Estimates | -\(\varvec{\hat{ll}}\) | AIC | BIC | df | \(\varvec{\chi ^{2}}\) | p-value |
---|---|---|---|---|---|---|---|
DEE(\(\alpha , \theta , \beta\)) | (0.025, 3.794, 1.6 \(\times 10^{-7}\)) | 268.8 | 543.59 | 550.29 | 5 | 8.078 | 0.152 |
DEW(\(\alpha , \theta , \beta , \eta\)) | (0.723, 4.10, 5.7 \(\times 10^{-9}\), 0.69) | 268.8 | 545.59 | 554.53 | 4 | 8.075 | 0.089 |
DEB(\(\alpha , \theta , \beta , \eta\)) | ( 2 \(\times 10^{-8}\), 4.42, 3.11, 0.071) | 269.2 | 546.31 | 555.24 | 4 | 8.280 | 0.082 |
DEL(\(\alpha , \theta , \beta , \eta\)) | (4.18, 3.79, 1.26, 7 \(\times 10^{-10}\)) | 268.8 | 545.59 | 554.53 | 4 | 8.076 | 0.089 |
DEFr(\(\alpha , \theta , \beta , \eta\)) | (1.6 \(\times 10^{-8}\), 4.69, 0.011, 2.31) | 268.8 | 545.64 | 554.58 | 4 | 8.023 | 0.091 |
DEG(\(\alpha , \theta , \beta , \eta\)) | (5 \(\times\) e−09, 4.73, 1.36, 1.157) | 268.8 | 545.61 | 554.55 | 4 | 8.035 | 0.090 |
DEETE(\(\alpha , \beta , \lambda\)) | (43.64, 6.971, 0.012) | 274.4 | 554.89 | 561.59 | 5 | 10.01 | 0.075 |
INH(\(\alpha , \beta\)) | (3.363, 43.62) | 286.2 | 576.43 | 580.90 | 6 | 24.36 | 0.0004 |
DEOWE(\(\alpha , \theta , \beta\)) | (683.3, 0.128, 1.156) | 268.3 | 542.63 | 549.34 | 5 | 5.910 | 0.315 |
PMiD(\(\alpha , \theta\)) | (220.3, 0.059) | 304.3 | 612.66 | 617.13 | 6 | 70.99 | 0 |
Geometric(p) | (0.019) | 340.8 | 683.51 | 685.74 | 7 | 173.9 | 0 |