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

In: Handbook of Scan Statistics

Author

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  • Serkan Eryilmaz

    (Atilim University, Department of Industrial Engineering)

  • Femin Yalcin

    (Izmir Katip Celebi University, Department of Engineering Sciences)

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.

Suggested Citation

  • Serkan Eryilmaz & Femin Yalcin, 2024. "Discrete Scan Statistics Generated by Dependent Trials and Their Applications in Reliability," Springer Books, in: Joseph Glaz & Markos V. Koutras (ed.), Handbook of Scan Statistics, chapter 11, pages 197-204, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-8033-4_49
    DOI: 10.1007/978-1-4614-8033-4_49
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