On Dependent Multi-State Semi-Coherent Systems Based on Multi-State Joint Signature
He Yi (yihe@mail.buct.edu.cn),
Narayanaswamy Balakrishnan (bala@mcmaster.ca) and
Lirong Cui (lirongcui@bit.edu.cn)
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He Yi: Beijing University of Chemical Technology
Narayanaswamy Balakrishnan: McMaster University
Lirong Cui: Qingdao University
Methodology and Computing in Applied Probability, 2022, vol. 24, issue 3, 1717-1734
Abstract:
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.
Keywords: Multi-state; Joint signature; Stochastic ordering; Preservation property; South-east shift order; Primary 60E15; Secondary 62H10 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s11009-021-09877-3
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