Volume 17, Issue 1 (6-2018)                   JIRSS 2018, 17(1): 33-47 | Back to browse issues page

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Kiapour A. Bayes, E-Bayes and Robust Bayes Premium Estimation and Prediction under the Squared Log Error Loss Function. JIRSS. 2018; 17 (1) :33-47
URL: http://jirss.irstat.ir/article-1-395-en.html
Department of‎ ‎Statistics‎, Babol Branch, Islamic Azad University, Babol, ‎Iran , ‎kiapour@baboliau.‎ac.ir
Abstract:   (4678 Views)

In risk analysis based on Bayesian framework, premium calculation requires specification of a prior distribution for the risk parameter in the heterogeneous portfolio. When the prior knowledge is vague, the E-Bayesian and robust Bayesian analysis can be used to handle the uncertainty in specifying the prior distribution by considering a class of priors instead of a single prior. In this paper, we study the E-Bayes and robust Bayes premium estimation and prediction in exponential model under the squared log error loss function. A prequential analysis in a simulation study is carried out to compare the proposed predictors. Finally, a real data example is included for illustrating the results

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Type of Study: Original Paper | Subject: 62Exx: Distribution theory
Received: 2016/11/23 | Accepted: 2017/08/22 | Published: 2017/08/22

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