BAYESIAN BONUS-MALUS PREMIUM OF NOVEL ONE PARAMETER MODEL FOR THE SEVERITY COMPONENT CASE
Keywords:
Bonus-Malus System, Poisson-new XLindley distribution, Inverse-Gamma (2,λ) Lindley distribution, Bayesian premiumAbstract
This study assumes that the frequency of claims follows a Poisson-new XLindley distribution, but the severity of claims follows a new proposed distribution known as the Inverse-Gamma (2, )-Lindley distribution. The premium is computed using the severity of claims in the bonus-malus system. Several examples utilizing an actual dataset for the application of BMS are given.