Asymptotic reliability theory of \(k\)-out-of-\(n\) systems

DOI10.1016/J.JSPI.2012.03.015zbMath1260.62079OpenAlexW2002115368MaRDI QIDQ447632

J. J. P. Veerman, Nuria Torrado

Publication date: 4 September 2012

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2012.03.015

zbMATH Keywords

order statisticsstochastic orderingsheterogeneous distributions

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Reliability and life testing (62N05)

Related Items (7)

On stochastic comparisons of coherent systems with two different types of components ⋮ Stochastic comparisons of order statistics and spacings: a review ⋮ On allocation policies in systems with dependence structure and random selection of components ⋮ On stochastic comparisons of minimum order statistics from the location-scale family of distributions ⋮ Unnamed Item ⋮ Tail behaviour of consecutive 2-within-\(m\)-out-of-\(n\) systems with nonidentical components ⋮ On Stochastic Comparisons of Largest Order Statistics in the Scale Model

Cites Work

• Unnamed Item
• Unnamed Item
• Stochastic comparisons of order statistics in the scale model
• Stochastic orders
• Ordering properties of convolutions of exponential random variables
• Weibull distribution: some stochastic comparisons results
• Some new results on stochastic comparisons of parallel systems
• Comparison of order statistics in a random sequence to the same statistics with i.i.d. variables
• Ordering Properties of Systems with Two Dependent Components
• Tail hazard rate ordering properties of order statistics and coherent systems
• Inequalities: theory of majorization and its applications
• Dispersive ordering among linear combinations of uniform random variables

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