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A Nonparametric Monitoring Framework Based on Order Statistics and Multiple Scans: Advances and Applications in Ocean Engineering

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  • Ioannis S. Triantafyllou

    (Department of Statistics and Insurance Science, University of Piraeus, 18534 Piraeus, Greece
    Department of Management Studies, Graphic Era Deemed to be University, Dehradun 248002, India)

Abstract

In this work, we introduce a statistical framework for monitoring the performance of a breakwater structure in reducing wave impact. The proposed methodology aims to achieve diligent tracking of the underlying process and the swift detection of any potential malfunctions. The implementation of the new framework requires the construction of appropriate nonparametric Shewhart-type control charts, which rely on order statistics and scan-type decision criteria. The variance of the run length distribution of the proposed scheme is investigated, while the corresponding mean value is determined. For illustration purposes, we consider a real-life application, which aims at evaluating the effectiveness of a breakwater structure based on wave height reduction and wave energy dissipation.

Suggested Citation

  • Ioannis S. Triantafyllou, 2025. "A Nonparametric Monitoring Framework Based on Order Statistics and Multiple Scans: Advances and Applications in Ocean Engineering," Stats, MDPI, vol. 8(4), pages 1-16, November.
    • Handle: RePEc:gam:jstats:v:8:y:2025:i:4:p:103-:d:1785067
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