Models for time series count data include several proposed by Zeger and Qaqish (1988), subsequently generalized into the GARMA family. The GAR(1) model is examined in detail. The maximum likelihood estimation of the parameters will be discussed and the properties of Pearson and randomized residuals will be examined.
Karioti, Vasiliki and Caroni, Chrys
"Properties Of The GAR(1) Model For Time Series Of Counts,"
Journal of Modern Applied Statistical Methods:
1, Article 13.
Available at: http://digitalcommons.wayne.edu/jmasm/vol5/iss1/13