Chapter 4

Discrete Ageing Concepts


Ageing concepts that distinguish whether a device is ageing positively or negatively form an important component of reliability analysis. We begin this chapter by presenting the importance and use of ageing characteristics. Stochastic orders provide means of comparing the ageing patterns and also help in defining certain notions in this context. The usual stochastic order, hazard rate order, likelihood ratio order, mean residual life order, increasing convex and concave orders, variance residual life order, and some others are all defined for discrete random variables and their inter-relationships are given. Distributions can be distinguished by means of no memory, positive memory and negative ...

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