Bonus-Malus systems with hybrid claim severity distributions

W Ni, B Li, C Constantinescu… - … , uncertainty, and risk …, 2014 - ascelibrary.org
One of the pricing strategies for Bonus-Malus (BM) systems relies on the decomposition of
the claims' randomness, namely, one part accounting for claims' frequency and the other
part for claims' severity. For a Negative Binomial number of claims, we focused on the
modelling of claim severities using a hybrid structure. While Weibull distribution is suggested
for constructing smaller-sized claims, Pareto severities employed by (1) were applied to
model large ones. A generalised function for the BM premium rates is then derived. Results …

[PDF][PDF] Bonus-Malus Systems with Hybrid Claim Severity Distributions Weihong Ni1, Bo Li, Corina Constantinescu, Athanasios A. Pantelous Institute for Actuarial and …

W Ni, B Li - academia.edu
One of the pricing strategies for Bonus-Malus (BM) systems relies on the decomposition of
the claims' randomness, namely, one part accounting for claims' frequency and the other
part for claims' severity. For a Negative Binomial number of claims, we focused on the
modelling of claim severities using a hybrid structure. While Weibull distribution is suggested
for constructing smaller-sized claims, Pareto severities employed by (1) were applied to
model large ones. A generalised function for the BM premium rates is then derived. Results …
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