Compound Poisson approximation in reliability theory

Compound Poisson approximation in reliability theory

The use of the compound Poisson local formulation of Stein's method to obtain reliability bounds is discussed. In the context of the consecutive-k-out-of-n model, the approximations obtained are comparable with the best known for the system, which rely heavily on its special structure. In contr...

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Veröffentlicht in:IEEE transactions on reliability 1995-09, Vol.44 (3), p.398-402
Hauptverfasser: Barbour, A.D., Chryssaphinou, O., Roos, M.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Context modeling
Design engineering
Exact sciences and technology
Operational research and scientific management
Operational research. Management science
Power engineering and energy
Power engineering computing
Power system modeling
Power system planning
Power system reliability
Reliability engineering
Reliability theory
Reliability theory. Replacement problems
Systems engineering and theory
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Zusammenfassung:The use of the compound Poisson local formulation of Stein's method to obtain reliability bounds is discussed. In the context of the consecutive-k-out-of-n model, the approximations obtained are comparable with the best known for the system, which rely heavily on its special structure. In contrast, Stein's method for the compound Poisson approach can be applied equally effectively in many more-complicated models.< >
ISSN:0018-9529
1558-1721
DOI:10.1109/24.406572