Relative Ageing of Population and Subpopulations in Proportional Reversed Hazard Frailty Models

Here, we derive the some set of sufficient conditions of relative stochastic orders in the proportional reversed hazard frailty model represented by random variable X with the random variable \(X|\Theta =\theta \) . In particular, we discuss the relative ageing notions using failure rate function, reversed failure rate function, and mean inactivity time function.