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Table 6 15-s fetal lamb data model comparisons

From: A flexible distribution class for count data

  Est. SE log(L) AIC BIC
Poisson \(\hat {\mu }_{*} =1.147\) (0.124) -131.3450 264.690 267.010
Geom \(\hat {p}= ~~~0.466\) (0.039) -111.2206 224.441 226.759
NB \(\hat {\mu } = ~~1.147\) (0.195)    
  \(\hat {\theta } = ~~~0.767\) (0.251) -110.9094 225.819 230.454
CMP/sCMP(m=1) \(\hat {\lambda }_{*} = ~0.534\) (0.093)    
  \(\hat {\nu }_{*} = ~0.000\) (0.161) -111.2206 226.442 231.076
sCMP(m=2) \(\hat {\lambda } = ~~~0.364\) (0.065)    
  \(\hat {\nu } = ~~~0.000\) (0.259) -114.2996 232.599 237.234
sCMP(m=3) \(\hat {\lambda } = ~~~0.277\) (0.071)    
  \(\hat {\nu } = ~~~0.000\) (0.554) -116.9413 237.882 242.518
sCMP(m=4) \(\hat {\lambda } = ~~~0.223\) (0.071)    
  \(\hat {\nu } = ~~~0.000\) (0.554) -118.9119 241.824 246.459
  1. Model comparison for the fetal lamb 15-second movement data, where Poisson, negative binomial, CMP, and sCMP (with variable values for m) distributions are considered. For model comparisons, the log-likelihood, Akaike and Bayes Information Criterions (AIC and BIC, respectively) are provided