Useful models for time series of counts or simply wrong ones?

Poisson Autoregression

(2010) Konstantinos Fokianos et al.   JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION

Maximum likelihood estimation of higher-order integer-valued autoregressive processes

(2010) Ruijun Bu et al.   JOURNAL OF TIME SERIES ANALYSIS

Predictive Model Assessment for Count Data

(2009) Claudia Czado et al.   BIOMETRICS

A negative binomial model for time series of counts

(2009) R. A. Davis et al.   BIOMETRIKA

Thinning operations for modeling time series of counts—a survey

(2008) Christian H. Weiß   AStA-Advances in Statistical Analysis

Modelling time series of counts with overdispersion

(2008) Christian H. Weiß   Statistical Methods and Applications

Feasible parameter regions for alternative discrete state space models

(2008) Paul D. Feigin et al.   STATISTICS & PROBABILITY LETTERS