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

 

Tallennettuna:
Bibliografiset tiedot
Tekijät: Pantí-Trejo, Henry G., Guerrero-Lara, Ernesto A., López-Flores, Jesús E.
Aineistotyyppi: artículo original
Tila:Versión publicada
Julkaisupäivä:2022
Kuvaus: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.
Maa:Portal de Revistas UCR
Organisaatio:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Kieli:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/47938
Linkit:https://revistas.ucr.ac.cr/index.php/matematica/article/view/47938
Sanahaku:ruin probability
maximum likelihood estimation
classical ruin model
delta method
estimación máxima verosimilitud
probabilidad de ruina
modelo clásico de ruina
método delta