Research Article Open Access

On Bayesian Premium Estimators for Gamma Lindley Model under Squared Error Loss Function and Linex Loss Function

Ahmed Sadoun1, Halim Zeghdoudi2, Fatma Zohra Attoui1 and Mohamed Riad Remita1
  • 1 Badji-Mokhtar University , Algeria
  • 2 Badji-Mokhtar University, Algeria

Abstract

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.

Journal of Mathematics and Statistics
Volume 13 No. 3, 2017, 284-291

DOI: https://doi.org/10.3844/jmssp.2017.284.291

Submitted On: 8 March 2017 Published On: 23 September 2017

How to Cite: Sadoun, A., Zeghdoudi, H., Attoui, F. Z. & Remita, M. R. (2017). On Bayesian Premium Estimators for Gamma Lindley Model under Squared Error Loss Function and Linex Loss Function. Journal of Mathematics and Statistics, 13(3), 284-291. https://doi.org/10.3844/jmssp.2017.284.291

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Keywords

  • Bayesian Premium
  • Gamma Lindley Distribution
  • Gamma Distribution
  • Loss Function
  • Entropy
  • Linex