Stochastic and ageing properties of coherent systems with dependent identically distributed components

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Abstract

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.

Keywords

Residual lifetime Inactivity time Survival copula Dependence Signature vector Reliability 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Department of Mathematical SciencesIsfahan University of TechnologyEsfahānIran
  2. 2.Department of StatisticsUniversity of IsfahanEsfahānIran
  3. 3.School of MathematicsInstitute of Research in Fundamental Sciences (IPM)TehranIran

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