Sample range and the associated functions such as survival function and mean residual life
function have found many important applications in the reliability field. In this work, we establish
some results that are in two different directions. In the first part, we establish some conditions for
comparing the largest-order statistics (in the sense of mean residual life order) arising from bivariate
Marshall–Olkin exponential distribution. Then, in the second part, we present some sufficient
conditions for comparing sample ranges (in the sense of usual stochastic order and reversed hazard
rate order) arising from independent exponential random variables.