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Student Solutions Manual to Accompany Loss Models: From Data to Decisions, Fourth Edition by Gordon E. Willmot, Harry H. Panjer, Stuart A. Klugman

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CHAPTER 17

CHAPTER 17 SOLUTIONS

17.1   SECTION 17.7

17.1

image

2,305 claims are needed.

17.2 image image

17.3 λ0 = 1,082.41. μ = 600. Estimate the variance as image 752. The standard for full credibility is 1,082.41(75/600)2 = 16.913. Z = image. The credibility pure premium is

image

17.4 image;  where s is used in place of the customary negative binomial parameter, r. Then

image

and so

image

The standard for full credibility is

image

Partial credibility is obtained by taking the square root of the ratio of the number of claims to the standard ...

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