Question

In: Statistics and Probability

An insurance policy has an ordinary deductible of 100 and a maximum covered loss of 10,000....

An insurance policy has an ordinary deductible of 100 and a maximum covered loss of 10,000. You observe the following six payments:
100 200 500 600 1000 5000
In addition, there are three payments at the limit. You fit a single parameter Pareto distribution with θ = 50 to the ground up distribution using maximum likelihood. Determine the estimated parameterα.

Solutions

Expert Solution

Xi log Xi log (Xi /Ɵ)
100 4.605 0.0921
200 5.298 0.1060
500 6.215 0.1243
600 6.397 0.1279
1000 6.908 0.1382
5000 8.517 0.1703
Sum 37.940 0.7588


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