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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