فهرست نشریات علمی دسترسی آزاد ایران

The Weighted Marshall-Olkin Bivariate Exponential (WMOBE) distribution was first proposed byJamalizadeh and Kundu (2013), who examined its different characteristics and properties. Bayesianestimation of the model parameters is carried out using both the squared error loss (SEL) function,which is symmetric, and the linear-exponential (LINEX) loss function, which is asymmetric. Theseestimators are derived under both informative and non-informative gamma priors. Given the complexityof the four-parameters model, explicit analytical solutions for the Bayesian estimators are not attainable,making it necessary to employ the Gibbs sampling procedure. Markov Chain Monte Carlo (MCMC)methods are widely utilized to compute and implement these estimates. Furthermore, the convergencebehavior of the Markov chain toward a stationary distribution is carefully analyzed. Credible intervals,particularly the highest posterior density (HPD) intervals for the unknown parameters, are alsoconstructed. To assess and compare the effectiveness of these estimation approaches, Monte Carlo simulations are performed. Finally, the methodology is applied to a real-world dataset for illustrative purposes.