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. 2026 Sep 15;16:28765. doi: 10.1038/s41598-026-68681-6

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