October 2014
Intermediate to advanced
584 pages
22h 2m
English
Content preview from Pricing in General Insurance
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207Frequency Modelling: Selecting and Calibrating a Frequency Model
14.6 Questions
1. Using a spreadsheet, simulate a random number of claims from a Poisson process
using the property that the interarrival time of claims from a Poisson process is
an exponential distribution. (Hint: use Equation 14.9 and calculate the cumulative
time.)
2. Prove that Equation 14.5 holds true if Conditions 1 through 4 in Section 14.2 are
satised. Also prove that if Conditions 1 and 3 are satised and Equation 14.5 is
satised, then Conditions 2 and 4 must hold true.
3. Prove that the Poisson distribution, the binomial distribution and the negative
binomial ...
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