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Table 3 The main distributions for fitting a GAMLSS model selected in accordance with the Akaike Information Criterion value, Eastern Amazonia, Brazil

From: A distributional regression approach to modeling the impact of structural and intermediary social determinants on communities burdened by tuberculosis in Eastern Amazonia – Brazil

Distribution for fitting a GAMLSS model

Akaike information criterion (AIC)

The Double Poisson distribution (DPO)

2004.25

Zero Inflated Negative Binomial Distribution (ZINBI)

2006.04

Zero adjusted negative binomial distribution (ZANBI)

2006.04

Zero adjusted (hurdle) of the beta negative binomial distribution (ZABNB)

2008.02

Zero-inflated of the beta negative binomial distribution (ZIBNB)

2008.02

The Zipf and zero adjusted Zipf distributions (ZINBF)

2008.04

The Sichel distribution (ZISICHEL)

2008.04

Zero-inflated Poisson inverse Gaussian distribution (ZIPIG)

2008.22

Negative Binomial type II distribution (SNBII)

2010.27

Negative Binomial type I distribution (SBNBI)

2010.27