Summarization of the first four moments of the residuals and their Filliben correlation coefficients for modeling the dependence between two annual maximum streamflow series
Scenario . | Copula . | Variable X1 . | ||||
---|---|---|---|---|---|---|
Mean . | Variance . | Skewness . | Kurtosis . | Filliben . | ||
A3 | GH | 0.01 | 1.02 | 0.05 | 2.11 | 0.985 |
Frank | 0.02 | 1.03 | 0.08 | 2.34 | 0.977 | |
Clayton | −0.02 | 1.05 | 0.11 | 2.68 | 0.968 | |
A4 | GH | 0.01 | 1.03 | 0.01 | 2.08 | 0.995 |
Frank | 0.01 | 1.02 | 0.05 | 2.17 | 0.980 | |
Clayton | −0.02 | 1.07 | 0.05 | 2.52 | 0.971 | |
. | . | Variable X2 . | ||||
Scenario . | Copula . | Mean . | Variance . | Skewness . | Kurtosis . | Filliben . |
A3 | GH | −0.01 | 1.02 | 0.03 | 2.18 | 0.976 |
Frank | −0.02 | 1.03 | 0.05 | 2.40 | 0.971 | |
Clayton | 0.02 | 1.04 | 0.08 | 2.75 | 0.962 | |
A4 | GH | 0.00 | 1.00 | 0.01 | 2.12 | 0.989 |
Frank | −0.01 | 1.02 | 0.03 | 2.23 | 0.979 | |
Clayton | 0.03 | 1.05 | 0.07 | 2.58 | 0.971 |
Scenario . | Copula . | Variable X1 . | ||||
---|---|---|---|---|---|---|
Mean . | Variance . | Skewness . | Kurtosis . | Filliben . | ||
A3 | GH | 0.01 | 1.02 | 0.05 | 2.11 | 0.985 |
Frank | 0.02 | 1.03 | 0.08 | 2.34 | 0.977 | |
Clayton | −0.02 | 1.05 | 0.11 | 2.68 | 0.968 | |
A4 | GH | 0.01 | 1.03 | 0.01 | 2.08 | 0.995 |
Frank | 0.01 | 1.02 | 0.05 | 2.17 | 0.980 | |
Clayton | −0.02 | 1.07 | 0.05 | 2.52 | 0.971 | |
. | . | Variable X2 . | ||||
Scenario . | Copula . | Mean . | Variance . | Skewness . | Kurtosis . | Filliben . |
A3 | GH | −0.01 | 1.02 | 0.03 | 2.18 | 0.976 |
Frank | −0.02 | 1.03 | 0.05 | 2.40 | 0.971 | |
Clayton | 0.02 | 1.04 | 0.08 | 2.75 | 0.962 | |
A4 | GH | 0.00 | 1.00 | 0.01 | 2.12 | 0.989 |
Frank | −0.01 | 1.02 | 0.03 | 2.23 | 0.979 | |
Clayton | 0.03 | 1.05 | 0.07 | 2.58 | 0.971 |