Eryılmaz, Serkan2023-06-162023-06-1620060096-3003https://doi.org/10.1016/j.amc.2005.07.015https://hdl.handle.net/20.500.14365/1043We express the longest run statistic as the maximum of a sequence whose members are subject to a Markov chain condition. Via this setup some results for the exact expression and bounds for the distribution of the longest run in a sequence of Markov dependent trials are presented. Extension of the results to the second order Markov dependent trials are also provided. (c) 2005 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/closedAccessBernoulli trialslongest runMarkov chainorder statisticN-F-SystemsOf-NSuccess RunsReliabilityChainArticle10.1016/j.amc.2005.07.0152-s2.0-33644889952