Bayesian and Non-Bayesian Parametric Estimation of the Bivariate Generalized Burr Distribution using Ranked Set Sampling with Concomitant Variable

Abstract

In this paper, the likelihood function under ranked set sampling for Marshal-Olkin bivariate class of distributions is derived in general and applies it on the bivariate generalized Burr distribution. Maximum likelihood estimation is considered for the model unknown parameters. Bayesian estimation is also considered in both simple random sampling and ranked set sampling; moreover, the Bayes estimators are obtained explicitly with respect to square error loss function in both cases.