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

 

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Autoři: Pantí-Trejo, Henry G., Guerrero-Lara, Ernesto A., López-Flores, Jesús E.
Médium: artículo original
Stav:Versión publicada
Datum vydání:2022
Popis: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.
Země:Portal de Revistas UCR
Instituce:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Jazyk:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/47938
On-line přístup:https://revistas.ucr.ac.cr/index.php/matematica/article/view/47938
Klíčové slovo:ruin probability
maximum likelihood estimation
classical ruin model
delta method
estimación máxima verosimilitud
probabilidad de ruina
modelo clásico de ruina
método delta