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

98 Actuarial Modelling of Claim Counts
Number of policyholders
50000
40000
30000
20000
10000
0
0.19 0.184
0.180
0.18
0.17
40770
0.16
0.15
0.14
0.13
0.12
0.11
0.10
0.09
0.08
0.07
0.06
0.05
0.04
0.03
4580
0.02
0.01
0.00
Other Red Other Red
Colour of car
Colour of car
Annual claims frequency
Figure 2.15 Composition of Portfolio B with respect to Colour of the car (left panel) and observed
annual claim frequencies according to Colour of the car (right panel).
Table 2.8 Results of the Poisson regression for the model with 5 variables and serial independence,
Portfolio B.
Variable Level Coeff Std error Wald 95 % conf limit Chi-sq Pr>Chi-sq
Intercept −19242 00302 −19833 −18650 406354