Some properties of the minimum and the maximum of random variables with joint logconcave distributions
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Publication:964813
DOI10.1007/s00184-009-0232-9zbMath1185.62176OpenAlexW2059286393MaRDI QIDQ964813
Publication date: 21 April 2010
Published in: Metrika (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00184-009-0232-9
order statisticsdecreasing reversed hazard rateparallel systemseries systemincreasing hazard ratelogconcavity
Related Items (15)
AGING PROPERTIES OF SEQUENTIAL ORDER STATISTICS ⋮ Hazard Rate Properties of Systems with Two Components ⋮ Log-concavity and other concepts of bivariate increasing failure rate distributions ⋮ Some new results on likelihood ratio ordering and aging properties of generalized order statistics ⋮ Likelihood ratio comparisons and logconvexity properties ofp-spacings from generalized order statistics ⋮ Log-concavity and monotonicity of hazard and reversed hazard functions of univariate and multivariate skew-normal distributions ⋮ Parametric inference from system lifetime data under a proportional hazard rate model ⋮ Results on the past lifetime of \((n-k+1)\)-out-of-\(n\) structures with nonidentical components ⋮ Stochastic ordering properties for systems with dependent identically distributed components ⋮ Ordered properties on the residual life and inactivity time of \((n-k+1)\)-out-of-\(n\) systems under double monitoring ⋮ Univariate and multivariate stochastic comparisons and ageing properties of the generalized Pólya process ⋮ A note on necessary and sufficient conditions for ordering properties of coherent systems with exchangeable components ⋮ Failure rates of consecutive \(k\)-out-of-\(n\) systems ⋮ Signature-Based Representations for the Reliability of Systems with Heterogeneous Components ⋮ Comparisons of series and parallel systems with components sharing the same copula
Cites Work
- Increasing failure rate and decreasing reversed hazard rate properties of the minimum and maximum of multivariate distributions with log-concave densities
- Mean residual life functions of finite mixtures, order statistics and coherent systems
- Likelihood ratio ordering of order statistics, mixtures and systems
- Hazard rate ordering of order statistics and systems
- The Reversed Hazard Rate Function
- Some Relationships Between Skew-Normal Distributions and Order Statistics from Exchangeable Normal Random Vectors
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