Poisson regression model likelihood

Maximum likelihood estimation in the Poisson regression model. Since the Poisson regression model is a generalized linear model, the maximum likelihood... 

The Poisson regression model is an example of the generalized linear model. The maximum likelihood estimates of the coefficients of the predictors can be found by iteratively reweighted least squares. This also finds the covariance matrix of the normal distribution that matches the curvature of the likelihood... 

The likelihood turns out to be the same as if the censoring variables are a sample of Poisson random variables where the means are linear functions of the predictors. So this is like the Poisson regression model. 

P. Thall, Mixed Poisson likelihood regression models for longitudinal interval count data. Biometrics 44 197-209 (1988). 

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