The most widely used regression model for multivariate count
data is the log-linear model (see McCullagh and Nelder, 1989):
l
og(E(Yi)) = log ti + β ′ xi
where β is a vector of regression coefficients, xi is a vector of
covariates for subject i, so called offset variable log ti is needed
to account for possible different observation periods (ti) for
different subjects.



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