Eryilmaz, SerkanIndustrial Engineering2024-07-052024-07-0520130932-502610.1007/s00362-011-0422-12-s2.0-84872669801https://doi.org/10.1007/s00362-011-0422-1https://hdl.handle.net/20.500.14411/428Eryilmaz, Serkan/0000-0002-2108-1781In this article we study the residual lifetime of a coherent system after the rth failure, i.e. the time elapsed from the rth failure until the system failure given that the system operates at the time of the rth failure. We provide a mixture representation for the corresponding residual lifetime distribution in terms of signature. We also obtain some stochastic ordering results for the residual lifetimes.eninfo:eu-repo/semantics/closedAccessCoherent systemResidual lifetimeSignatureStochastic orderingArticleQ3541243250WOS:00031387100001324