Actuarial Modelling of Claim Counts Risk Classification, Credibility ...

78 Actuarial Modelling of Claim Counts
5
Individual data
4
Deviance residuals
3
2
1
0
–1
0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35
Predicted value
1
Grouped data
0
Deviance residuals
–1
–2
–3
–4
0 100 200 300
Predicted value
Figure 2.8 Deviance residuals against fitted annual claim frequencies for individual data (top panel)
and grouped by risk classes (bottom panel), Portfolio A.
The significance of the explanatory variables is clearly apparent (even if the Chi-square
test statistics are smaller than in the regular Poisson case, and the corresponding p-values
larger).