Stochastic comparisons of interfailure times under a relevation replacement policy

DOI10.1017/jpr.2016.91zbMath1400.60036OpenAlexW2604416233MaRDI QIDQ4684843

Miguel A. Sordo, Georgios Psarrakos

Publication date: 26 September 2018

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jpr.2016.91

zbMATH Keywords

stochastic orderincreasing convex orderdispersive orderexcess wealth ordercumulative residual entropy

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Statistical aspects of information-theoretic topics (62B10)

Related Items (10)

ON THE ELASTICITY OF EXPECTED INTEREPOCH INTERVALS IN A NON-HOMOGENEOUS POISSON PROCESS UNDER SMALL VARIATIONS OF HAZARD RATE ⋮ On a family of risk measures based on largest claims ⋮ On a family of risk measures based on proportional hazards models and tail probabilities ⋮ Notes on cumulative entropy as a risk measure ⋮ Stochastic comparisons and dynamic information of random lifetimes in a replacement model ⋮ On relevation redundancy to coherent systems at component and system levels ⋮ A residual inaccuracy measure based on the relevation transform ⋮ A family of premium principles based on mixtures of TVaRs ⋮ Reliability properties of proportional hazards relevation transform ⋮ Extended cumulative entropy based on \(k\)th lower record values for the coherent systems lifetime

Cites Work

• Unnamed Item
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• Asymptotic behavior of the hazard rate in systems based on sequential order statistics
• On cumulative entropies
• Stochastic orders
• Some new results on the cumulative residual entropy
• Descriptive statistics for non-parametric models. III: Dispersion
• An introduction to copulas. Properties and applications
• The dilation order, the dispersion order, and orderings of residual lives
• On the dynamic cumulative residual entropy
• Generalized cumulative residual entropy and record values
• On the \(L_p\)-metric between a probability distribution and its distortion
• \(L_p\)-metric under the location-independent risk ordering of random variables
• More on a new concept of entropy and information
• Extension of the past lifetime and its connection to the cumulative entropy
• On sufficient conditions for the comparison in the excess wealth order and spacings
• Exponentiality Test Based on the Progressive Type II Censoring via Cumulative Entropy
• SOME EXTENSIONS OF THE RESIDUAL LIFETIME AND ITS CONNECTION TO THE CUMULATIVE RESIDUAL ENTROPY
• Characterizations based on generalized cumulative residual entropy functions
• Characterizations Based on Cumulative Residual Entropy of First-Order Statistics
• Reliability applications of the relevation transform
• Cumulative Residual Entropy: A New Measure of Information
• Some properties and applications of cumulative Kullback–Leibler information
• A Dynamic Discrimination Information Based On Cumulative Residual Entropy And Its Properties

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