Eryilmaz,S.Yalcin,F.Industrial Engineering2024-11-052024-11-052024978-146148033-4978-146148032-710.1007/978-1-4614-8033-4_492-s2.0-85207176995https://doi.org/10.1007/978-1-4614-8033-4_49https://hdl.handle.net/20.500.14411/10265The chapter is concerned with discrete scan statistic based on a sequence of dependent binary trials. In particular, the existing results are reviewed for the distribution of the discrete scan statistic based on a sequence of exchangeable binary trials. The results are discussed in the context of the reliability of the linear consecutive-k-within-m-out-of-n:F system, and a new exact formula for the reliability of the linear consecutive-2-within-m-out-of-n:F system that consists of arbitrarily dependent components is presented. © Springer Science+Business Media, LLC, part of Springer Nature 2024.eninfo:eu-repo/semantics/closedAccessDependenceDiscrete scan statisticsExchangeable random variablesReliabilityBook PartN/AN/A197204