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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/2445/174610

A Sarmanov Distribution with Beta Marginals: An Application to Motor Insurance Pricing

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Background: The Beta distribution is useful for fitting variables that measure a probability or a relative frequency. Methods: We propose a Sarmanov distribution with Beta marginals specified as generalised linear models. We analyse its theoretical properties and its dependence limits. Results: We use a real motor insurance sample of drivers and analyse the percentage of kilometres driven above the posted speed limit and the percentage of kilometres driven at night, together with some additional covariates. We fit a Beta model for the marginals of the bivariate Sarmanov distribution. Conclusions: We find negative dependence in the high quantiles indicating that excess speed and night-time driving are not uniformly correlated.

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BOLANCÉ LOSILLA, Catalina, GUILLÉN, Montserrat, PITARQUE, Albert. A Sarmanov Distribution with Beta Marginals: An Application to Motor Insurance Pricing. _Mathematics_. 2020. Vol. 8, núm. 11, pàgs. 2020. [consulta: 23 de gener de 2026]. ISSN: 2227-7390. [Disponible a: https://hdl.handle.net/2445/174610]

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