Preservation of some partial orderings under the formation of coherent systems
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Publication:1265947
DOI10.1016/S0167-7152(98)00043-1zbMath1094.62519MaRDI QIDQ1265947
Kanchan Jain, Asok K. Nanda, Harshinder Singh
Publication date: 1998
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Stochastic order\(k\)-out-of-\(n\) SystemsLikelihood ratio orderReversed hazard rate orderStructure function
Inequalities; stochastic orderings (60E15) Reliability and life testing (62N05) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)
Related Items (11)
ON RELATIVE AGING COMPARISONS OF COHERENT SYSTEMS WITH IDENTICALLY DISTRIBUTED COMPONENTS ⋮ Preservation of increasing convex/concave order under the formation of parallel/series system of dependent components ⋮ Some new results on stochastic comparisons of coherent systems using signatures ⋮ A note on closure of the ILR and DLR classes under formation of coherent systems ⋮ Ordering and aging properties of systems with dependent components governed by the Archimedean copula ⋮ On relative ageing of coherent systems with dependent identically distributed components ⋮ Some stochastic comparisons of conditional coherent systems ⋮ Reliability Properties of Reversed Residual Lifetime ⋮ Comparing lifetimes of coherent systems with dependent components operating in random environments ⋮ Test for harmonic mean residual life function: a goodness of fit approach ⋮ On preservation of some shifted and proportional orders by systems
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- On likelihood-ratio ordering of order statistics
- Uniform stochastic ordering and related inequalities
- Applications of the hazard rate ordering in reliability and order statistics
- Uniform stochastic orderings and total positivity
- Statistical models based on counting processes
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