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.
This is a preview of subscription content, log in via an institution to check access.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-319-30056-6_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-30054-2
Online ISBN: 978-3-319-30056-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)