Comparisons of Multi-State Systems with Binary Components of Different Sizes
Abstract The system signatures of multi-state coherent or mixed systems with i.i.d. (independent and identically distributed) binary-state components are considered in this paper. For any multi-state coherent or mixed system with m i.i.d. components, the signature of its equivalent system of size m...
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Yi, He [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2020 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, LLC, part of Springer Nature 2020 |
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| Übergeordnetes Werk: |
Enthalten in: Methodology and computing in applied probability - Springer US, 1999, 23(2020), 4 vom: 25. Aug., Seite 1309-1321 |
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volume:23 ; year:2020 ; number:4 ; day:25 ; month:08 ; pages:1309-1321 |
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10.1007/s11009-020-09805-x |
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| 520 | |a Abstract The system signatures of multi-state coherent or mixed systems with i.i.d. (independent and identically distributed) binary-state components are considered in this paper. For any multi-state coherent or mixed system with m i.i.d. components, the signature of its equivalent system of size m + l can be written as a mixture of signatures of several multi-state vector k -out-of- m + l: F systems. This facilitates the comparison of two multi-state systems of different sizes upon transforming the signature of the system of smaller size to the signature of its equivalent system of larger size along the lines of Navarro et al. (2008) for the usual Samaniego signature. Some numerical examples are finally presented to illustrate all the results established here. | ||
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10.1007/s11009-020-09805-x doi (DE-627)OLC2077362154 (DE-He213)s11009-020-09805-x-p DE-627 ger DE-627 rakwb eng 510 VZ 31.70$jWahrscheinlichkeitsrechnung bkl 31.80$jAngewandte Mathematik bkl Yi, He verfasserin aut Comparisons of Multi-State Systems with Binary Components of Different Sizes 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2020 Abstract The system signatures of multi-state coherent or mixed systems with i.i.d. (independent and identically distributed) binary-state components are considered in this paper. For any multi-state coherent or mixed system with m i.i.d. components, the signature of its equivalent system of size m + l can be written as a mixture of signatures of several multi-state vector k -out-of- m + l: F systems. This facilitates the comparison of two multi-state systems of different sizes upon transforming the signature of the system of smaller size to the signature of its equivalent system of larger size along the lines of Navarro et al. (2008) for the usual Samaniego signature. Some numerical examples are finally presented to illustrate all the results established here. System signature Multi-state systems Binary-state components Equivalent systems Balakrishnan, Narayanaswamy aut Cui, Lirong (orcid)0000-0002-8987-4307 aut Enthalten in Methodology and computing in applied probability Springer US, 1999 23(2020), 4 vom: 25. Aug., Seite 1309-1321 (DE-627)335482279 (DE-600)2059382-X (DE-576)100005225 1387-5841 nnns volume:23 year:2020 number:4 day:25 month:08 pages:1309-1321 https://doi.org/10.1007/s11009-020-09805-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT 31.70$jWahrscheinlichkeitsrechnung VZ 106408070 (DE-625)106408070 31.80$jAngewandte Mathematik VZ 106419005 (DE-625)106419005 AR 23 2020 4 25 08 1309-1321 |
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Comparisons of Multi-State Systems with Binary Components of Different Sizes |
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Abstract The system signatures of multi-state coherent or mixed systems with i.i.d. (independent and identically distributed) binary-state components are considered in this paper. For any multi-state coherent or mixed system with m i.i.d. components, the signature of its equivalent system of size m + l can be written as a mixture of signatures of several multi-state vector k -out-of- m + l: F systems. This facilitates the comparison of two multi-state systems of different sizes upon transforming the signature of the system of smaller size to the signature of its equivalent system of larger size along the lines of Navarro et al. (2008) for the usual Samaniego signature. Some numerical examples are finally presented to illustrate all the results established here. © Springer Science+Business Media, LLC, part of Springer Nature 2020 |
| abstractGer |
Abstract The system signatures of multi-state coherent or mixed systems with i.i.d. (independent and identically distributed) binary-state components are considered in this paper. For any multi-state coherent or mixed system with m i.i.d. components, the signature of its equivalent system of size m + l can be written as a mixture of signatures of several multi-state vector k -out-of- m + l: F systems. This facilitates the comparison of two multi-state systems of different sizes upon transforming the signature of the system of smaller size to the signature of its equivalent system of larger size along the lines of Navarro et al. (2008) for the usual Samaniego signature. Some numerical examples are finally presented to illustrate all the results established here. © Springer Science+Business Media, LLC, part of Springer Nature 2020 |
| abstract_unstemmed |
Abstract The system signatures of multi-state coherent or mixed systems with i.i.d. (independent and identically distributed) binary-state components are considered in this paper. For any multi-state coherent or mixed system with m i.i.d. components, the signature of its equivalent system of size m + l can be written as a mixture of signatures of several multi-state vector k -out-of- m + l: F systems. This facilitates the comparison of two multi-state systems of different sizes upon transforming the signature of the system of smaller size to the signature of its equivalent system of larger size along the lines of Navarro et al. (2008) for the usual Samaniego signature. Some numerical examples are finally presented to illustrate all the results established here. © Springer Science+Business Media, LLC, part of Springer Nature 2020 |
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| title_short |
Comparisons of Multi-State Systems with Binary Components of Different Sizes |
| url |
https://doi.org/10.1007/s11009-020-09805-x |
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| author2 |
Balakrishnan, Narayanaswamy Cui, Lirong |
| author2Str |
Balakrishnan, Narayanaswamy Cui, Lirong |
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335482279 |
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| doi_str |
10.1007/s11009-020-09805-x |
| up_date |
2024-07-03T15:09:10.856Z |
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