Table 2.
Goodness-of-fit screening results for the thirteen retained statistical distribution models. MLE = maximum likelihood estimation; LM = L-moments; PM = product moments.
| No | Distribution models | Estimation methods | Model ID | AD statistic | KS statistic |
|---|---|---|---|---|---|
| 1 | Generalized Pareto | PM | GPPM | 0.07 | 0.08 |
| 2 | Exponential | PM | EPM | 0.3 | 0.09 |
| 3 | Log-Logistic | PM | LLPM | 0.6 | 0.07 |
| 4 | Gamma | PM | GPM | 0.09 | 0.1 |
| 5 | Gamma | LM | GLM | 0.26 | 0.09 |
| 6 | Generalized logistic | LM | GLLM | 0.3 | 0.05 |
| 7 | Generalized extreme value | LM | GEVLM | 0.3 | 0.05 |
| 8 | Exponential | LM | ELM | 0.3 | 0.09 |
| 9 | Log-logistic | LM | LLLM | 0.6 | 0.07 |
| 10 | Generalized extreme value | MLE | GEVMLE | 0.3 | 0.06 |
| 11 | Exponential | MLE | EMLE | 0.3 | 0.09 |
| 12 | Shifted exponential | MLE | SEMLE | 0.3 | 0.09 |
| 13 | Generalized Pareto | MLE | GPMLE | 0.4 | 0.08 |