Discrete Scan Statistics Generated by Dependent Trials and Their Applications in Reliability

Serkan Eryilmaz () and Femin Yalcin ()
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Serkan Eryilmaz: Atilim University, Department of Industrial Engineering
Femin Yalcin: Izmir Katip Celebi University, Department of Engineering Sciences

Chapter 11 in Handbook of Scan Statistics, 2024, pp 197-204 from Springer

Abstract: Abstract The 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.

Keywords: Dependence; Discrete scan statistics; Exchangeable random variables; Reliability (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-8033-4_49

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DOI: 10.1007/978-1-4614-8033-4_49

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