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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