24. Summary statistics on aggregate claims for each of four car rental com- pany risks over five years are given in Table 5.12 below. Here Xij denotes aggregate claims in year j for risk i. Using Model 1 of empirical Bayes credibility, calculate the credibility factor and credibility premium for risk 1. In your opinion, is Model 1 suitable to calculate credibility pre- miums for these risks? TABLE 5.12 Car rental company risks. Risk Xi Σ₁j=1(Xij - X₁)² 1 6,132 5,321,643 2 7,465 5,974,212 3 4,927 4,321,615 4 23,416 41,271,314

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24. Summary statistics on aggregate claims for each of four car rental com-
pany risks over five years are given in Table 5.12 below. Here Xij denotes
aggregate claims in year j for risk i. Using Model 1 of empirical Bayes
credibility, calculate the credibility factor and credibility premium for
risk 1. In your opinion, is Model 1 suitable to calculate credibility pre-
miums for these risks?
TABLE 5.12
Car rental company risks.
Risk
Xi
Σ₁j=1(Xij - X₁)²
1
6,132
5,321,643
2
7,465
5,974,212
3
4,927
4,321,615
4
23,416
41,271,314
Transcribed Image Text:24. Summary statistics on aggregate claims for each of four car rental com- pany risks over five years are given in Table 5.12 below. Here Xij denotes aggregate claims in year j for risk i. Using Model 1 of empirical Bayes credibility, calculate the credibility factor and credibility premium for risk 1. In your opinion, is Model 1 suitable to calculate credibility pre- miums for these risks? TABLE 5.12 Car rental company risks. Risk Xi Σ₁j=1(Xij - X₁)² 1 6,132 5,321,643 2 7,465 5,974,212 3 4,927 4,321,615 4 23,416 41,271,314
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