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cc-by (c) Bolancé Losilla, Catalina et al., 2020
Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/175049

Frequency and Severity Dependence in the Collective Risk Model: An Approach Based on Sarmanov Distribution

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In actuarial mathematics, the claims of an insurance portfolio are often modeled using the collective risk model, which consists of a random number of claims of independent, identically distributed (i.i.d.) random variables (r.v.s) that represent cost per claim. To facilitate computations, there is a classical assumption of independence between the random number of such random variables (i.e., the claims frequency) and the random variables themselves (i.e., the claim severities). However, recent studies showed that, in practice, this assumption does not always hold, hence, introducing dependence in the collective model becomes a necessity. In this sense, one trend consists of assuming dependence between the number of claims and their average severity (...)

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BOLANCÉ LOSILLA, Catalina, VERNIC, Raluca. Frequency and Severity Dependence in the Collective Risk Model: An Approach Based on Sarmanov Distribution. _Mathematics_. 2020. Vol. 8, núm. 9, pàgs. 1-17. [consulta: 23 de gener de 2026]. ISSN: 2227-7390. [Disponible a: https://hdl.handle.net/2445/175049]

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