Stochastic comparisons of parallel systems with scale proportional hazards components equipped with starting devices

DOI10.3934/JIMO.2021004zbMath1499.60054OpenAlexW3115478849MaRDI QIDQ2076362

Wenyu Huang, Longxiang Fang, Narayanaswamy Balakrishnan

Publication date: 16 February 2022

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2021004

zbMATH Keywords

majorizationusual stochastic orderhazard rate orderparallel systemscale proportional hazards model

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Reliability and life testing (62N05)

Cites Work

• An optimal maintenance strategy for multi-state systems based on a system linear integral equation and dynamic programming
• Stochastic orders
• Preservation of stochastic orders for random minima and maxima, with applications
• Partial Ordering and Aging Properties of Order Statistics When the Sample Size is Random: A Brief Review
• Some aging properties of parallel and series systems with a random number of components
• Stochastic comparisons of parallel and series systems of dependent components equipped with starting devices
• Ordering results on extremes of scaled random variables with dependence and proportional hazards
• Inequalities: theory of majorization and its applications

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