Eryılmaz, Serkan2023-06-162023-06-1620090951-83201879-0836https://doi.org/10.1016/j.ress.2008.03.027https://hdl.handle.net/20.500.14365/1392In this paper, the reliability properties of consecutive k-out-of-n systems with arbitrarily dependent components are studied. For 2k >= n we present efficient formulas to compute the reliability characteristics such as meantime to failure, failure rate, and mean residual lifetime. Approximations for the survival functions when 1 <= k <= n are also provided. The results are illustrated for the multivariate survival distribution generated by a Weibull and Inverse-Gaussian mixture. (C) 2008 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/closedAccessArbitrarily dependent lifetimesExchangeable lifetimesMeantime to failureFailure rateMean residual lifetime(K-1)-Step Markov DependenceLifetime DistributionCoherent SystemsF-SystemsCommon EnvironmentMultivariate DistributionsExchangeable LifetimesOrder-StatisticsFailureDesignReliability Properties of Consecutive K-Out Systems of Arbitrarily Dependent ComponentsArticle10.1016/j.ress.2008.03.0272-s2.0-54049095205