Table 7 Parameter estimates for Wheaton river data (standard errors in parentheses)
From: Families of distributions arising from the quantile of generalized lambda distribution
Distribution | aBP | aBC | aGW | U-E{GL} |
|---|---|---|---|---|
Parameter estimates | \( \widehat{a}=7.6954 \) \( \widehat{b}=85.75 \) \( \widehat{\theta}=0.1 \) \( \widehat{k}=0.0208 \) | \( \widehat{a}=317.0256 \) (312.5864) \( \widehat{b}=1.4584 \) (0.4899) \( \widehat{\theta}=-0.0482 \) (1.2301) \( \widehat{\lambda}=0.09617 \) (0.0688) | \( \widehat{\mu}=-0.6548 \) (1.1214) \( \widehat{\sigma}=3.3672 \) (0.7295) \( \widehat{a}=1.4848 \) (0.3665) \( \widehat{\lambda}=8.0323 \) (2.8206) | \( \widehat{\theta}=0.1134 \) (0.0201) \( {\widehat{\lambda}}_3=5.3192 \) (2.2026) \( {\widehat{\lambda}}_4=3.0133 \) (1.0588) |
Log-likelihood | – 272.1280 | – 260.4813 | – 247.8373 | – 247.7 |
AIC | 552.256 | 528.952 | 503.7 | 501.4 |
K-S statistic (p-value) | 0.1625 (0.0446) | 0.1219 (0.2350) | 0.0662 (0.9101) | 0.0531 (0.9873) |