Regression Analysis with R

Poisson regression model

Suppose that we have a sample of n observations y₁, y₂, . . . , y_n which can be treated as a Poisson distribution, with:

The following variance function:

Furthermore, suppose that we want to let the mean µ_i (and therefore the variance) depend on a vector of explanatory variables x_i. We can adopt a simple linear model of the form:

The linear predictor on the right-hand side of the previous equation can assume any real ...