Probability distribution functions and their parameter estimation methods to be used to estimate probability precipitation (Tanaka & Takara, 1999; MLIT, 2014b).
| Distribution . | Parameter estimation method . |
|---|---|
| GEV | LM |
| Gumbel distribution | LM |
| SQET | MLE |
| LN2 | LM, PM |
| LN3 | LM, PM Ishihara-Takase, QM, QM Iwai |
| LN4 | PM |
| LPIII | PM with logarithmic sample, PM with original sample |
| Distribution . | Parameter estimation method . |
|---|---|
| GEV | LM |
| Gumbel distribution | LM |
| SQET | MLE |
| LN2 | LM, PM |
| LN3 | LM, PM Ishihara-Takase, QM, QM Iwai |
| LN4 | PM |
| LPIII | PM with logarithmic sample, PM with original sample |
GEV, Generalized extreme value distribution; SQET, Square root exponential-type distribution of maximum; LNn, n-parameter type log-normal distribution; LPIII, Log-Pearson type III distribution; LM, L-moment method; MLE, maximum-likelihood estimation; PM, product moment method; QM, quantile method.