In this paper, we investigate the ordering properties of sample ranges arising from bivariate Pareto random variables. Under the setup of bivariate Pareto distributions, it is shown that the reciprocal majorization order between the two vectors of parameters is equivalent to the hazard rate and usual stochastic orders between sample ranges. We also show that the weak majorization order between two vectors of parameters is equivalent to the likelihood ratio and reversed hazard rate orders between sample ranges.
