From: Families of distributions arising from the quantile of generalized lambda distribution
Distribution | aBP | aBEP | bFour-parameter C-W{L} | U-E{GL} |
---|---|---|---|---|
Parameter estimates | \( \widehat{a}=4.805 \) (0.055) \( \widehat{b}=100.502 \) (0.251) \( \widehat{k}=0.011 \) (0.001) \( \widehat{\beta}=0.080 \) | \( \widehat{a}=0.348 \) (0.097) \( \widehat{b}=159831 \) (183.7501) \( \widehat{k}=0.051 \) (0.019) \( \widehat{\beta}=0.080 \) \( \widehat{\alpha}=8.612 \) (2.093) | \( \widehat{\alpha}=-2.3040 \) (1.0937) \( \widehat{\beta}=2.0205 \) (0.4585) \( \widehat{k}=3.0673 \) (0.7319) \( \widehat{\lambda}=12.663 \) (2.6326) | \( \widehat{\theta}=0.2757 \) (0.0665) \( {\widehat{\lambda}}_3=2.5904 \) (0.9285) \( {\widehat{\lambda}}_4=0.2894 \) (0.0858) |
Log-likelihood | −480.446 | −432.41 | −416.0965 | −409.45 |
AIC | 968.893 | 874.819 | 840.2 | 824.9 |
K-S statistic (p-value) | 0.217 (1.105E-5) | 0.142 (0.0121) | 0.06672 (0.6189) | 0.02876 (0.9999) |