Mixed systems with minimal and maximal lifetime variances

DOI10.1007/s00184-011-0357-5zbMath1410.62071OpenAlexW2054996629MaRDI QIDQ715505

Marcin Spryszyński, Tomasz Rychlik, Krzysztof Jasiński, Marek Beśka

Publication date: 29 October 2012

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00184-011-0357-5

zbMATH Keywords

order statisticvariance\(k\)-out-of-\(n\) systemmixed systemi.i.d. random variablesSamaniego signature

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extreme variances of order statistics in dependent samples
• Study of some measures of dependence between order statistics and systems
• A characterization of rectangular distributions
• An extremal property of rectangular distributions
• Some characterizations of distributions based on order statistics
• On Terrell's characterization of uniform distribution
• Distributions and expectations of order statistics for possibly dependent random variables
• A note on maximum variance of order statistics from symmetric populations
• Maximum variance of order statistics
• Bounds on Variances of Lifetimes of Coherent and Mixed Systems
• On the application and extension of system signatures in engineering reliability
• On Closure of the IFR Class Under Formation of Coherent Systems
• On the Comparison of Reliability Experiments Based on the Convolution Order
• Maximum variance of order statistics from symmetric populations revisited
• Computations of Signatures of Coherent Systems with Five Components

This page was built for publication: Mixed systems with minimal and maximal lifetime variances