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

Transient Maximum Accuracy Criterion 299
Table 8.1 Evolution of the uniform initial distribution for the former compulsory Belgian bonusmalus
scale.
Level l PrL 0 = l PrL 10 = l PrL 20 = l PrL 30 = l PrL 40 = l PrL 50 = l PrL = l
22 43% 46% 51% 53% 53% 53% 54%
21 43% 34% 36% 37% 38% 38% 38%
20 43% 28% 28% 29% 29% 29% 29%
19 43% 24% 23% 23% 23% 23% 23%
18 43% 23% 21% 20% 19% 19% 19%
17 43% 25% 19% 18% 17% 17% 16%
16 43% 26% 18% 16% 15% 15% 15%
15 43% 26% 18% 15% 14% 14% 13%
14 43% 27% 17% 15% 14% 13% 13%
13 43% 28% 18% 15% 13% 13% 12%
12 43% 41% 20% 15% 14% 13% 12%
11 43% 40% 20% 15% 14% 13% 12%
10 43% 40% 20% 16% 14% 13% 12%
9 43% 40% 22% 17% 15% 14% 14%
8 43% 40% 23% 18% 17% 16% 16%
7 43% 40% 28% 20% 18% 18% 17%
6 43% 39% 28% 21% 19% 18% 18%
5 43% 37% 28% 21% 19% 18% 18%
4 43% 47% 45% 42% 42% 42% 43%
3 43% 42% 40% 38% 38% 38% 38%
2 43% 38% 44% 35% 34% 34% 34%
1 43% 34% 40% 32% 31% 31% 31%
0 43% 236% 393% 469% 490% 497% 503%
Table 8.2 Evolution of the transient relativities for the uniform initial distribution for the former
compulsory Belgian bonus-malus scale.
Level l
r 0
l
r 10
l
r 20
l
r 30
l
r 40
l
r 50
l
r l
22 00 % 2641 % 2700 % 2709 % 2712 % 2714 % 2715%
21 00 % 2290 % 2419 % 2450 % 2462 % 2468 % 2474%
20 00 % 2011 % 2195 % 2248 % 2269 % 2279 % 2291%
19 00 % 1792 % 2008 % 2079 % 2110 % 2124 % 2141%
18 00 % 1640 % 1854 % 1937 % 1974 % 1992 % 2014%
17 00 % 1413 % 1704 % 1807 % 1853 % 1876 % 1903%
16 00 % 1321 % 1594 % 1700 % 1750 % 1775 % 1803%
15 00 % 1239 % 1499 % 1608 % 1659 % 1685 % 1714%
14 00 % 1179 % 1422 % 1528 % 1578 % 1603 % 1631%
13 00 % 1149 % 1364 % 1459 % 1504 % 1526 % 1549%
12 00% 869 % 1253 % 1376 % 1427 % 1450 % 1472%
11 00% 857 % 1201 % 1319 % 1365 % 1385 % 1402%