Stochastic and ageing properties of coherent systems with dependent identically distributed components
- 192 Downloads
In the study of reliability and stochastic properties of technical systems a realistic assumption is to consider the dependency between the components of the system. We investigate the reliability and stochastic properties of a coherent system where the component lifetimes of the system are identically distributed and the structural dependency of the components is expressed using a copula. We use the notion of distortion function to explore several ageing and stochastic properties of the residual and inactivity time of coherent systems and order statistics. Some illustrative examples are also provided.
KeywordsResidual lifetime Inactivity time Survival copula Dependence Signature vector Reliability
- Barlow RE, Proschan F (1981) Statistical theory of reliability and life testing. Silver SpringGoogle Scholar
- Navarro J (2016) Distribution-free comparisons of residual lifetimes of coherent systems based on copula properties. Stat Pap. https://doi.org/10.1007/s00362-016-0789-0
- Tavangar M, Bairamov I (2012) On the residual lifetimes of coherent systems with exchangeable components, Pakistan. J Stat 28:303–313Google Scholar