Bayesian Analysis of the Lomax-Power Rayleigh (T-X) Distribution
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i3.6295Keywords:
Uniform and Jeffery priors, Loss functions, application, Bayes theorem, simulation.Abstract
This study presents a Bayesian analysis of the Lomax-Power Rayleigh (T-X) distribution using both uniform and Jeffery priors. Bayes estimators are derived under four different loss functions: squared error loss, quadratic loss, weighted loss, and precautionary loss. The performance of the proposed estimators is demonstrated through simulation studies and a real-world dataset. Results indicate that the quadratic loss function yields the most reliable parameter estimates.
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Copyright (c) 2025 Muhammad Ijaz, Naeem Khan, Izhar Khan, Ghulam Mustafa, Hana N Alqifari
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