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

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Handbook of Scan Statistics

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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.

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References

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Author information

Authors and Affiliations

  1. Department of Industrial Engineering, Atilim University, Incek, Ankara, Turkey

    Serkan Eryilmaz

  2. Department of Engineering Sciences, Izmir Katip Celebi University, Cigli, Izmir, Turkey

    Femin Yalcin

Authors
  1. Serkan Eryilmaz
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  2. Femin Yalcin
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Corresponding author

Correspondence to Serkan Eryilmaz .

Editor information

Editors and Affiliations

  1. University of Connecticut Dept. Statistics, Storrs, CT, USA

    Joseph Glaz

  2. University of Pireaus Dept. Statistics & Insurance Sciences, Piraeus, Greece

    Markos V. Koutras

Section Editor information

  1. Department of Statistics, University of Connecticut, Storrs, CT, USA

    Joseph Glaz

  2. Department of Statistics and Insurance Science, University of Piraeus, Piraeus, Greece

    Markos V. Koutras

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Eryilmaz, S., Yalcin, F. (2020). Discrete Scan Statistics Generated by Dependent Trials and Their Applications in Reliability. In: Glaz, J., Koutras, M. (eds) Handbook of Scan Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8414-1_49-1

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  • DOI: https://doi.org/10.1007/978-1-4614-8414-1_49-1

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-8414-1

  • Online ISBN: 978-1-4614-8414-1

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