Multi-State Joint Survival Signature for Multi-State Systems with Shared Multi-State Components

He Yi (), Narayanaswamy Balakrishnan () and Xiang Li ()
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He Yi: Beijing University of Chemical Technology
Narayanaswamy Balakrishnan: McMaster University
Xiang Li: Beijing University of Chemical Technology

Methodology and Computing in Applied Probability, 2023, vol. 25, issue 1, 1-18

Abstract: Abstract In this paper, the multi-state joint survival signature is proposed for two multi-state semi-coherent or mixed systems with shared independent and identically distributed (i.i.d.) multi-state components, and then its properties are studied along with the related multi-state joint signature. By using the idea of equivalent systems, generalized triangle rule for order statistics and the independence assumption of component lifetimes at different states, transformation formulas of multi-state joint survival signatures of different sizes are presented so that stochastic comparisons of multi-state semi-coherent or mixed system pairs that share different numbers of multi-state components can be carried out. For illustrating the theoretical results established here, some examples are presented. Finally, some concluding remarks are made.

Keywords: Multi-state joint survival signature; Multi-state joint signature; Multi-state systems; Equivalent system; Generalized triangle rule; Systems with shared components; Stochastic comparisons; Primary 60E15; Secondary 62H10 (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s11009-023-10023-4

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