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https://hdl.handle.net/20.500.14365/1043| Title: | Some results associated with the longest run statistic in a sequence of Markov dependent trials | Authors: | Eryılmaz, Serkan | Keywords: | Bernoulli trials longest run Markov chain order statistic N-F-Systems Of-N Success Runs Reliability Chain |
Publisher: | Elsevier Science Inc | Abstract: | We 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. | URI: | https://doi.org/10.1016/j.amc.2005.07.015 https://hdl.handle.net/20.500.14365/1043 |
ISSN: | 0096-3003 |
| Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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| 49.pdf Restricted Access | 145.72 kB | Adobe PDF | View/Open Request a copy |
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