Some stable algorithms in ruin theory and their application

In this paper we present a stable recursive algorithm for the calculation of the probability of ultimate ruin in the classical risk model. We also present stable recursive algorithms for the calculation of the joint and marginal distributions of the surplus prior to ruin and the severity of ruin. In...

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Detalhes bibliográficos
Autor principal: Dickson, David C. M. (author)
Outros Autores: Reis, Alfredo D. Egidio dos (author), Waters, Howard R. (author)
Formato: article
Idioma:eng
Publicado em: 2022
Assuntos:
Texto completo:http://hdl.handle.net/10400.5/24481
País:Portugal
Oai:oai:www.repository.utl.pt:10400.5/24481
Descrição
Resumo:In this paper we present a stable recursive algorithm for the calculation of the probability of ultimate ruin in the classical risk model. We also present stable recursive algorithms for the calculation of the joint and marginal distributions of the surplus prior to ruin and the severity of ruin. In addition we present bounds for these distributions