The concept of residual lifetime has attracted considerable research interest in reliability theory. It is useful for evaluating the dynamic behavior of a system. In this paper, we study the extreme residual lives, that is, the minimum and maximum residual lives of the remaining components after the failure of the system. The system is assumed to have an arbitrary structure. We obtain signature...

Several studies deals with life testing of various systems with respect to Reliability characteristics. The life testing generally considered a continuous life time Distribution. However, there are situations when life times are recorded on discrete scale. In life testing, Geometric distribution has an important role in such type of analysis. A vast literature on the life testing plans in the B...

Motivated in part by applications in reliability theory, life testing, and other areas, like finance or engineering, several authors have investigated the stochastic properties of order statistics and their spacings in the case when the observations are independent and identically distributed (i.i.d.). However, in some real situations, observations are non-i.i.d. Due to the complicated expressi...

There are many improvement methodologies and techniques available to improve plant reliability and availability, including such techniques as Reliability Centred Maintenance, PM Optimisation, Weibull analysis and others. However all of these techniques have significant limitations when it comes to dealing with high consequence, low probability events – those events that have potentially catastr...