Multivariate Ageing Concepts
Abstract
The notions of ageing and classification of life distributions based on them are of importance in stochastic modelling and reliability analysis for components and systems. In this chapter, we make a systematic study of various ageing concepts relating to multi-component systems where lifetime is thought of as a discrete random variable. To begin with, some stochastic orders for multivariate discrete random variables that are of use in the sequel are introduced. This is followed by a discussion of various versions of no-ageing property in the multivariate framework. The distributions characterized by the no-ageing property are then derived. The multivariate increasing (decreasing) hazard rate ...
Get Reliability Modelling and Analysis in Discrete Time now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.
