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Aggregate Loss Modelling
In Chapter 6, we introduced the scientic basis for the stochastic modelling of risk and
weexplored the implications of the two main types of aggregate loss models, the individ-
ual risk model and the collective risk model. We then devoted several chapters (Chapters
7 through 16) to creating the building blocks for these aggregate loss models: a frequency
model and a severity model.
Based on the frequency and the severity models that we have built, we already know
how to calculate some simple statistics for the aggregate loss model: for example, the
mean of the aggregate model is simply the mean claim count times ...