SOME EXTENSIONS OF THE RESIDUAL LIFETIME AND ITS CONNECTION TO THE CUMULATIVE RESIDUAL ENTROPY

DOI10.1017/S0269964811000271zbMath1259.60016OpenAlexW1994273251MaRDI QIDQ2894062

Stella Kapodistria, Georgios Psarrakos

Publication date: 27 June 2012

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0269964811000271

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05)

Related Items (22)

ON THE ELASTICITY OF EXPECTED INTEREPOCH INTERVALS IN A NON-HOMOGENEOUS POISSON PROCESS UNDER SMALL VARIATIONS OF HAZARD RATE ⋮ Generalized cumulative residual entropy and record values ⋮ Weighted extensions of generalized cumulative residual entropy and their applications ⋮ Cumulative residual entropy applied to testing uniformity ⋮ An operator property of the distribution of a nonhomogeneous Poisson process with applications ⋮ Generalized cumulative entropy based on \(k\)th lower record values ⋮ An extension of weighted generalized cumulative past measure of information ⋮ On a family of risk measures based on proportional hazards models and tail probabilities ⋮ Notes on cumulative entropy as a risk measure ⋮ Relation between relative hazard rates and residual divergence with some applications to reliability analysis ⋮ A family of variability measures based on the cumulative residual entropy and distortion functions ⋮ Testing uniformity based on negative cumulative extropy ⋮ On relevation redundancy to coherent systems at component and system levels ⋮ Asymptotic behavior of the hazard rate in systems based on sequential order statistics ⋮ A residual inaccuracy measure based on the relevation transform ⋮ Stochastic comparisons of interfailure times under a relevation replacement policy ⋮ Extension of the past lifetime and its connection to the cumulative entropy ⋮ A family of premium principles based on mixtures of TVaRs ⋮ Relation between cumulative residual entropy and excess wealth transform with applications to reliability and risk ⋮ Reliability properties of proportional hazards relevation transform ⋮ Extended cumulative entropy based on \(k\)th lower record values for the coherent systems lifetime ⋮ Optimal allocation of relevations in coherent systems

Cites Work

• A Mathematical Theory of Communication
• Stochastic orders
• On ruin for the Erlang \((n)\) risk process
• Some new results on the cumulative residual entropy
• On the time to ruin for Erlang(2) risk processes.
• An operator-based approach to the analysis of ruin-related quantities in jump diffusion risk models
• On the dynamic cumulative residual entropy
• More on a new concept of entropy and information
• SOME NEW RESULTS ON RÉNYI ENTROPY OF RESIDUAL LIFE AND INACTIVITY TIME
• EXPONENTIAL DOMINANCE AND UNCERTAINTY FOR WEIGHTED RESIDUAL LIFE MEASURES
• On the distance between convex-ordered random variables, with applications
• Characterization of the exponential distribution by the relevation transform
• Reliability applications of the relevation transform
• Cumulative Residual Entropy: A New Measure of Information
• Closure properties of the relevation transform*
• On the expectation of total discounted operating costs up to default and its applications
• Coherent systems based on sequential order statistics

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