New results for the Brown-Proschan model of imperfect repair

DOI10.1016/0378-3758(87)90083-8zbMath0623.62089OpenAlexW2014450636MaRDI QIDQ1091729

Manish C. Bhattacharjee

Publication date: 1987

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(87)90083-8

zbMATH Keywords

proportional hazardslimit distributionsIFRDFRDFRAIFRANBUNWUminimalDMRLIMRLNBUEInequalitiesHNBUEHNWUENWUEBrown-Proschan modelmean residual sojourn timemodel of imperfect repairnonstationary Poisson shock modelpreservation propertiesshock model representation of the sojourn time

Mathematics Subject Classification ID

Signal detection and filtering (aspects of stochastic processes) (60G35) Reliability and life testing (62N05)

Related Items (4)

Some maintenance models and availability with imperfect maintenance in production systems ⋮ Optimal maintenance policies for several imperfect repair models ⋮ A quasi renewal process and its applications in imperfect maintenance ⋮ Imperfect maintenance

Cites Work

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• Residual life time at great age
• Nonstationary shock models
• A useful ageing property based on the Laplace transform
• Imperfect repair
• On weak convergence within the hnbue family of life distributions
• The hnbue and hnwue classes of life distributions
• Remarks on a univariate shock model with some bivariate generalizations
• Age-dependent minimal repair
• The Class of Mean Residual Lives and Some Consequences
• The Local Limit Theorem and Some Related Aspects of Super-Critical Branching Processes

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