Abstract
The representation of an aggregate claim amount S by means of the claim number N and the claim sizes \({X_k}\) is particularly convenient when the claim sizes are independent and identically distributed and also independent of the claim number. These are precisely the assumptions of the collective model of risk theory.
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© 2016 Springer International Publishing Switzerland
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Schmidt, K.D. (2016). Collective Model. In: Radtke, M., Schmidt, K.D., Schnaus, A. (eds) Handbook on Loss Reserving. EAA Series. Springer, Cham. https://doi.org/10.1007/978-3-319-30056-6_9
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DOI: https://doi.org/10.1007/978-3-319-30056-6_9
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-319-30056-6
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