Table 4 Model selection among seasonal INAR models using AIC and BIC.

From: Some developments on seasonal INAR processes with application to influenza data

Model

Parameter estimates

AIC

BIC

PINAR(1)\(_S\)14

\(\hat{\phi }\)=0.2435, \(\hat{\lambda }\)=0.4288

939.950

948.011

GINAR(1)\(_{S}\)13

\(\hat{\phi }\)=0.4891, \(\hat{\theta }\)=0.4993

627.946

636.946

SNGINAR(s)16

\(\hat{\alpha }\)=0.2900, \(\hat{\mu }\)=0.6499

660.493

668.554

INAR(1)\(_s\)ZMPL

\(\hat{\lambda }=0.2509\), \(\hat{\alpha }=0.5286\), \(\hat{\delta }\)=0.8640

505.243

517.535