Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/113860
Authors: 
Gómez Déniz, Emilio
Calderín Ojeda, Enrique
Year of Publication: 
2013
Citation: 
[Journal:] Revista de Métodos Cuantitativos para la Economía y la Empresa [ISSN:] 1886-516X [Volume:] 16 [Year:] 2013 [Pages:] 121-142
Abstract: 
In this paper the analysis of the collective risk model assuming Erlang loss, when the claim frequency follows the discrete generalized Lindley distribu- tion, is considered. After providing some new results of this discrete model, analytical expressions for the aggregate claim size distribution in general insurance in the case that the discrete generalized Lindley distribution is assumed as the primary distribution while claim size, the secondary distri- bution, is modeled using an Erlang(r) distribution (r = 1; 2). Comparisons with the compound Poisson and compound negative binomial are developed to explain the viability of the new compound model in two examples in au- tomobile insurance.
Subjects: 
automobile insurance
collective risk model
Lindley distribution
JEL: 
C13
M20
Document Type: 
Article

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