Bayesian Inference and Data Analysis of the Unit–Power Burr X Distribution

The unit–power Burr X distribution (UPBXD), a bounded version of the power distribution, is presented. UPBXD produced through inverse exponential transformation which also beneficial for modelling data on unit interval. Comprehensive analysis its key characteristics performed, including shape primary functions, analytical expression moments, quantile function, incomplete stochastic ordering, and stress–strength reliability. Rényi, Havrda Charvat, d-generalized entropies, are measures uncertainty, obtained. model’s parameters estimated using Bayesian estimation approach via symmetric asymmetric loss functions. credible intervals constructed based marginal posterior distribution. Monte Carlo simulation research intended to test accuracy various estimators certain measures, in accordance with complex forms estimators. Finally, we show that new more appropriate than other competing models, according their application COVID-19 Saudi Arabia United Kingdom.