Bayesian Premium Estimators for NXLindley Model Under Different Loss Functions

Authors

  • Ahmed Sadoun Badji Mokhtar - Annaba University, Probability and Statistic Laboratory (LaPS), Annaba, Algeria
  • Imen Ouchen Badji Mokhtar - Annaba University, Probability and Statistic Laboratory (LaPS), Annaba, Algeria
  • Farouk Metiri Badji Mokhtar - Annaba University, Probability and Statistic Laboratory (LaPS), Annaba, Algeria

DOI:

https://doi.org/10.19139/soic-2310-5070-2442

Keywords:

Bayesian premium, NXLindley distribution, Gamma distribution, extension of Jeffreys distribution, loss function, Linex.

Abstract

The conditional distribution of (X|θ) is regarded as the NXLindley distribution. This study is centered on the estimation of the Bayesian premium using the symmetric squared error loss function and the asymmetric Linex loss function, employing the extension of Jeffreys as non-informative priors and Gamma prior as informative priors. Owing to its complexity and lack of linearity, we rely on a numerical approximation for establishing the Bayesian premium. A simulation and comparison study with several sample sizes is presented.

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Published

2025-05-28

Issue

Section

Research Articles

How to Cite

Bayesian Premium Estimators for NXLindley Model Under Different Loss Functions. (2025). Statistics, Optimization & Information Computing, 13(6), 2647-2668. https://doi.org/10.19139/soic-2310-5070-2442

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