Bayesian Regression Analysis using Median Rank Set Sampling
Inad Nawajah, Hassan Kanj, Yehia Kotb, Julian Hoxha, Mouhammad AlAkkoumi, Kamel Jebreen · European Journal of Pure and Applied Mathematics · 2024
Bayesian estimation of the linear regression parameter system is considered by deploying Median Rank Set Sampling (MRSS). The full conditional distributions and the associated posterior distribution are obtained. Therefore, based on Markov Chain Monte Carlo simulation, the Bayesian point estimates and credible intervals for the regression parameters are determined. To measure the efficiency of the obtained Bayesian estimates concerning the frequentist estimates we compute the asymptotic relative efficiency of the obtained Bayesian estimates using Markov Chain Monte Carlo simulation.