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Table 5 5-second fetal lamb data model comparisons

From: A flexible distribution class for count data

  Est. SE log(L) AIC BIC
Poisson \(\hat {\mu }_{*} =0.382\) (0.041) -195.4933 394.9866 401.8188
Geom \(\hat {p} = ~~~0.723\) (0.025) -183.3791 368.7583 372.1744
NB \(\hat {\mu } = ~~0.382\) (0.053)    
  \(\hat {\theta } = ~~~0.587\) (0.200) -182.3702 368.7404 375.5726
CMP/sCMP(m=1) \(\hat {\lambda }_{*} = ~0.277\) (0.040)    
  \(\hat {\nu }_{*} = ~0.000\) (0.264) -183.3791 370.7582 377.5904
sCMP(m=2) \(\hat {\lambda } = ~~~0.160\) (0.019)    
  \(\hat {\nu } = ~~~0.000\) (0.263) -186.3873 376.7746 383.6068
sCMP(m=3) \(\hat {\lambda } = ~~~0.113\) (0.013)    
  \(\hat {\nu } = ~~~0.000\) (0.294) -188.3006 380.6012 387.4334
sCMP(m=4) \(\hat {\lambda } = ~~~0.087\) (0.009)    
  \(\hat {\nu } = ~~~0.000\) (0.213) -189.5569 383.1138 389.9460
  1. Model comparison for the fetal lamb 5-second movement data, where Poisson, negative binomial, CMP, and sCMP distributions are considered. For model comparisons, the log-likelihood, Akaike and Bayes Information Criterions (AIC and BIC, respectively) are provided