A note on closure of the ILR and DLR classes under formation of coherent systems

DOI10.1007/s00362-003-0152-0zbMath1017.62104OpenAlexW2028272360MaRDI QIDQ1402954

Manuel Franco, M. Carmen Ruiz, José-María Ruiz

Publication date: 31 August 2003

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00362-003-0152-0

zbMATH Keywords

likelihood ratio orderingcoherent systemsparallel systemseries systemk-out-of-n systemsDLRILR

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Characterization and structure theory of statistical distributions (62E10) Reliability and life testing (62N05)

Related Items (10)

ITERATED FAILURE RATE MONOTONICITY AND ORDERING RELATIONS WITHIN GAMMA AND WEIBULL DISTRIBUTIONS ⋮ Conditions on unimodality and logconcavity for densities of coherent systems with an application to Bernstein operators ⋮ On proportional reversed failure rate class ⋮ Ordering and aging properties of systems with dependent components governed by the Archimedean copula ⋮ On residual lifetimes in sequential \((n - k + 1)\)-out-of-\(n\) systems ⋮ Properties of the elasticity of a continuous random variable. A special look at its behavior and speed of change ⋮ Reversed preservation properties of some negative aging conceptions and stochastic orders ⋮ Stochastic comparisons of coherent systems under different random environments ⋮ Some results on majorization and their applications ⋮ On preservation of some shifted and proportional orders by systems

Cites Work

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• Preservation of some partial orderings under the formation of coherent systems
• Coherent structures and unimodality
• A Note on Strong Unimodality of Order Statistics
• The Reversed Hazard Rate Function
• Inequalities for Linear Combinations of Order Statistics from Restricted Families
• Some Reliability Applications of the Hazard Transform
• Properties of Probability Distributions with Monotone Hazard Rate

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