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On Dependent Multi-State Semi-Coherent Systems Based on Multi-State Joint Signature

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Abstract

In this paper, by considering two multi-state semi-coherent systems sharing some components, we define the multi-state joint signature. Then, some properties of this multi-state joint signature are discussed in detail, and some preservation results are established in terms of stochastic ordering. A south-east shift order for comparing the multi-state joint signature matrices is then discussed. Finally, some numerical examples are presented for illustrating all the theoretical results established here.

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Acknowledgements

This work has been supported by the National Natural Science Foundation of China (No.72001016 and No.71631001). Our thanks also go to the anonymous reviewers and the Editor-in-Chief for their useful comments and suggestions on the earlier version of this manuscript which led to this improved version.

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Authors and Affiliations

  1. Beijing University of Chemical Technology, Beijing, China

    He Yi

  2. McMaster University, Hamilton, Ontario, Canada

    Narayanaswamy Balakrishnan

  3. Qingdao University, Shandong, China

    Lirong Cui

Authors
  1. He Yi
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  2. Narayanaswamy Balakrishnan
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  3. Lirong Cui
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Correspondence to He Yi.

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Yi, H., Balakrishnan, N. & Cui, L. On Dependent Multi-State Semi-Coherent Systems Based on Multi-State Joint Signature. Methodol Comput Appl Probab 24, 1717–1734 (2022). https://doi.org/10.1007/s11009-021-09877-3

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  • DOI: https://doi.org/10.1007/s11009-021-09877-3

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