6.2 Results
The mean of the number of claims declared by one insured and in 1 year is about 5.16 and the variance is 102.29. It is clear that the mean is very small compared to the variance. This indicates the overdispersion of the data. Generally, a Poisson regression model is not an appropriate model to fit to the data in such a case. Our objective is to fit Poisson regression and Zero-inflated Poisson regression to our data. Note that in ZIP regression model, we use the same covariate matrix for estimating k and h. The models specifications are indicated in Table 2. First we fit the Poisson regression to the number of claims. Table 3 indicates the estimates of parameter. We remark that all explanatory variables are significant