Research Article

Flexible Lévy-Based Models for Time Series of Count Data with Zero-Inflation, Overdispersion, and Heavy Tails

Table 5

Comparison of Lévy-based models with GPIG-INAR (1).

ModelMeanVarianceAICRMSE

Empirical14.5208251.1662
GPIG-INAR (1)14.5383292.58751033.13761.6462
PIG-Lévy-based with an exponential kernel14.5634149.8246616.93011.2065
PIG-Lévy-based with sup-IG kernel15.1953168.04661038.27271.7370