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MULTIVARIATE MODELLING OF HOUSEHOLD CLAIM FREQUENCIES IN MOTOR THIRD-PARTY LIABILITY INSURANCE

Published online by Cambridge University Press:  08 June 2018

Florian Pechon ,
Julien Trufin  and
Michel Denuit
Florian Pechon*
Affiliation:
Institute of Statistics, Biostatistics and Actuarial Science, Université catholique de Louvain (UCL), Louvain-la-Neuve, Belgium
Julien Trufin
Affiliation:
Department of Mathematics, Université Libre de Bruxelles (ULB), Bruxelles, Belgium, E-Mail: [email protected]
Michel Denuit
Affiliation:
Institute of Statistics, Biostatistics and Actuarial Science, Université catholique de Louvain (UCL), Louvain-la-Neuve, Belgium, E-Mail: [email protected]
*
E-Mail: [email protected]
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Abstract

Actuarial risk classification studies are typically confined to univariate, policy-based analyses: Individual claim frequencies are modelled for a single product, without accounting for the interactions between the different coverages bought by the members of the same household. Now that large amounts of data are available and that the customer's value is at the heart of insurers' strategies, it becomes essential to develop multivariate risk models combining all the products subscribed by the members of the household in order to capture the correlation effects. This paper aims to supplement the standard actuarial policy-based approach with a household-based approach. This makes the actuarial model more complex but also increases the volume of available information which eases and refines forecasting. Possible cross-selling opportunities can also be identified.

Keywords

Multivariate Poisson mixture modelPoisson-LogNormalPoisson–Gammanegative binomiala posteriori risk revaluation
Type
Research Article
Information
ASTIN Bulletin: The Journal of the IAA , Volume 48 , Issue 3 , September 2018 , pp. 969 - 993
Copyright
Copyright © Astin Bulletin 2018 

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