Maximum likelihood estimation of ruin probability in the classical risk model with exponential claims

 

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Bibliografiska uppgifter
Författarna: Pantí-Trejo, Henry G., Guerrero-Lara, Ernesto A., López-Flores, Jesús E.
Materialtyp: artículo original
Status:Versión publicada
Utgivningstid:2022
Beskrivning:Maximum likelihood estimators are calculated for the parameters that define the compound Poisson process in the classical risk process with exponential claims. It is proved consistency and asymptotic normality for estimators obtained. Finally, with the help of invariance property of the maximum likelihood estimators, asymptotic normality and delta method, point and interval estimation of the ruin probability is performed.
Land:Portal de Revistas UCR
Organisation:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Språk:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/47938
Länkar:https://revistas.ucr.ac.cr/index.php/matematica/article/view/47938
Nyckelord:ruin probability
maximum likelihood estimation
classical ruin model
delta method
estimación máxima verosimilitud
probabilidad de ruina
modelo clásico de ruina
método delta