On Bayesian Premium Estimators for Gamma Lindley Model under Squared Error Loss Function and Linex Loss Function
Ahmed Sadoun, Halim Zeghdoudi, Fatma Zohra Attoui and Mohamed Riad Remita
DOI : 10.3844/jmssp.2017.284.291
Journal of Mathematics and Statistics
Volume 13, 2017
We consider the Gamma Lindley distribution (GaL) as the conditional distribution of (X|θ,γ), we focus on the estimation of the Bayesian premium under squared error loss function (symmetric) and linear-exponential (Linex) loss function (asymmetric), using informative priors (the Gamma prior). Because of its difficulty and non-linearity, we use a numerical approximation for computing the Bayesian premium. Finally, a simulation and comparative study with varying sample sizes are given.
© 2017 Ahmed Sadoun, Halim Zeghdoudi, Fatma Zohra Attoui and Mohamed Riad Remita. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.