Mixture Representations of Residual Lifetimes of Used Systems
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Publication:5504164
DOI10.1239/jap/1231340236zbMath1155.60305OpenAlexW2062712414MaRDI QIDQ5504164
Narayanaswamy Balakrishnan, Francisco J. Samaniego, Jorge Navarro
Publication date: 21 January 2009
Published in: Journal of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1239/jap/1231340236
Inequalities; stochastic orderings (60E15) Reliability, availability, maintenance, inspection in operations research (90B25) Applications of renewal theory (reliability, demand theory, etc.) (60K10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mean residual life functions of finite mixtures, order statistics and coherent systems
- Ordering conditional lifetimes of coherent systems
- System signatures and their applications in engineering reliability
- Likelihood ratio ordering of order statistics, mixtures and systems
- Hazard rate ordering of order statistics and systems
- Properties of Coherent Systems with Dependent Components
- On the application and extension of system signatures in engineering reliability
- On Closure of the IFR Class Under Formation of Coherent Systems
- New Topological Formula and Rapid Algorithm for Reliability Analysis of Complex Networks
- Order Statistics
- Mean Residual Lifetimes of Consecutive-k-out-of-n Systems
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