Bounds for joint probabilities of multistate systems using preservation of log‐concavity

DOI10.1002/nav.22149MaRDI QIDQ6150240

Shyamal Ghosh, Sanjeev Sabnis, Priyanka Majumder

Publication date: 6 March 2024

Published in: Naval Research Logistics (NRL) (Search for Journal in Brave)

zbMATH Keywords

log-concavitymultistate parallel systemmultistate series systemtotally positive of order 2 (\(TP_2)\)

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Characterization and structure theory of statistical distributions (62E10) Reliability and life testing (62N05)

Cites Work

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• Log-concavity and strong log-concavity: a review
• Closure of the NBUE and DMRL classes under formation of parallel systems
• Preservation of DMRL and IMRL aging classes under the formation of order statistics and coherent systems
• Parameter estimation for multi-state coherent series and parallel systems with positively quadrant dependent models
• Inference for stress-strength reliability of multi-state system with dependent stresses and strengths using improved generalized survival signature
• Log-concave probability and its applications
• Shock models and wear processes
• On the closure of the IFR(2) and NBU(2) classes
• Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers
• A necessary condition for positive dependence
• Coherent structures and unimodality
• Convolutions and generalization of logconcavity: Implications and applications
• Generalizing the survival signature to unrepairable homogeneous multi-state systems
• ALGEBRAIC RELIABILITY OF MULTI-STATE k-OUT-OF-n SYSTEMS
• Some new results on the preservation of the NBUE and NWUE aging classes under the formation of coherent systems
• Unimodality of the Distribution of an Order Statistic

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