PRESERVATION OF RELIABILITY CLASSES UNDER MIXTURES OF RENEWAL PROCESSES

DOI10.1017/S0269964808000016zbMath1137.90436OpenAlexW2172067144MaRDI QIDQ5450687

Carmen Sangüesa, Francisco German Badía

Publication date: 13 March 2008

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

Full work available at URL: https://doi.org/10.1017/s0269964808000016

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Renewal theory (60K05)

Related Items (12)

PRESERVATION OF LOG-CONCAVITY AND LOG-CONVEXITY UNDER OPERATORS ⋮ Log-convexity of counting processes evaluated at a random end of observation time with applications to queueing models ⋮ The DFR Property for Counting Processes Stopped at an Independent Random Time ⋮ Stochastic ordering for populations of manufactured items ⋮ Hazard Rate Properties of a General Counting Process Stopped at an Independent Random Time ⋮ Preservation of reliability classes associated with the mean residual life by a renewal process stopped at a random time ⋮ Preservation of ageing classes in deterioration models with independent increments ⋮ Negative ageing properties for counting processes arising in virtual age models ⋮ On the preservation of log convexity and log concavity under some classical Bernstein-type operators ⋮ On Stochastic Predictions of Failure Processes Under Population Heterogeneity ⋮ Log-concavity for Bernstein-type operators using stochastic orders ⋮ Bounds on uptime distribution based on aging for systems with finite lifetimes

Cites Work

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• Laplace transforms for classes of life distributions
• Shock models and wear processes
• SOME RESULTS ON REVERSED HAZARD RATE
• On increasing-failure-rate random variables
• Bivariate characterization of some stochastic order relations
• Some Properties of Weighted Distributions in the Context of Repairable Systems

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