Eryilmaz, SerkanTutuncu, G. YazgiIndustrial Engineering2024-07-052024-07-0520150932-50261613-979810.1007/s00362-014-0595-52-s2.0-84939898345https://doi.org/10.1007/s00362-014-0595-5https://hdl.handle.net/20.500.14411/838Tütüncü, G.Yazgı/0000-0002-9363-6141; Eryilmaz, Serkan/0000-0002-2108-1781In this paper, two independent coherent systems with different structures, and different types of components are considered. The remaining lifetime and the remaining number of working components of system I after the failure of the system II when we know that the system II fails before the system I are studied. In particular, signature-based expressions are obtained for the distribution of these conditional random variables. Illustrative examples are provided.eninfo:eu-repo/semantics/closedAccessReliabilityResidual lifetimeSignatureArticleQ3562519529WOS:0003522895000134