Uncertainty Bounds for a Monotone Multistate System

DOI10.1017/S0269964800005179zbMath0930.90015OpenAlexW2002727226MaRDI QIDQ4266372

Bo Henry Lindqvist, Helge Langseth

Publication date: 30 September 1999

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0269964800005179

zbMATH Keywords

upper and lower boundsuncertainty analysisBayesian estimationmoments of the random reliability functionmonotone multistate system

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Reliability, availability, maintenance, inspection in operations research (90B25)

Related Items (2)

Interval reliability of typical systems with partially known probabilities. ⋮ Reliability stochastic optimization for a series system with interval component reliability via genetic algorithm

Cites Work

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• Association of probability measures on partially ordered spaces
• Moment inequalities for the reliability function
• Stochastic ordering for permutation symmetric distributions
• A Survey of Network Reliability and Domination Theory
• Bounds for the availabilities in a fixed time interval for multistate monotone systems
• Improved upper bounds for the availabilities in a fixed time interval for multistate monotone systems
• Two suggestions of how to define a multistate coherent system
• Multistate reliability models

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