Offering warranty for a second-hand item stimulates the sales of the item, but at the same time, it accumulates additional warranty servicing cost. This additional cost can be reduced through actions that improve the reliability of the item, such as overhaul and upgrade. An upgrade action brings...

A bivariate competing risks problem is considered for a rather general class of survival models. The lifetime distribution of each component is indexed by a frailty parameter. Under the assumption of conditional independence of components the correlated frailty model is considered. The explicit...

Some properties of the mean residual lifetime (MRL) functions are studied. The main focus is on relative characteristics. It is proved that under certain assumptions the relative hazard rate ordering leads to the corresponding ultimate MRL ordering. This result is applied to stochastic...