Laplace transform ordering of bivariate inactivity times

In this paper we consider the Laplace transform of the bivariate inactivity time. We show that a weak bivariate reversed hazard rate order is characterized by the Laplace transform of the bivariate inactivity times in two different frames. The results are used to characterize the weak bivariate reversed hazard rate order using the weak bivariate mean inactivity time order. The results are also used to characterize the decreasing bivariate reversed hazard rate property using the Laplace transform of the bivariate inactivity time.