Skip to main content

Table 5 MLEs for remission times of bladder cancer patient’s data (standard errors in parentheses)

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)

  1. a MLEs, log likelihood, K-S (p-value), and AIC are from Zea et al. (2012).
  2. b MLEs, log likelihood, K-S (p-value), and AIC are from Almheidat et al. (2015).