A shock and wear model with dependence between the interarrival failures
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DOI: 10.1016/j.amc.2015.02.005
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References listed on IDEAS
- Korczak, Edward & Levitin, Gregory, 2007. "Survivability of systems under multiple factor impact," Reliability Engineering and System Safety, Elsevier, vol. 92(2), pages 269-274.
- Frostig, Esther & Kenzin, Moshe, 2009. "Availability of inspected systems subject to shocks - A matrix algorithmic approach," European Journal of Operational Research, Elsevier, vol. 193(1), pages 168-183, February.
- Maxim Finkelstein, 2008. "Failure Rate Modelling for Reliability and Risk," Springer Series in Reliability Engineering, Springer, number 978-1-84800-986-8, February.
- Fermín Mallor & Javier Santos, 2003. "Reliability of systems subject to shocks with a stochastic dependence for the damages," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 12(2), pages 427-444, December.
- Kenzin, Moshe & Frostig, Esther, 2009. "M out of n inspected systems subject to shocks in random environment," Reliability Engineering and System Safety, Elsevier, vol. 94(8), pages 1322-1330.
- Søren Asmussen, 2000. "Matrix‐analytic Models and their Analysis," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 27(2), pages 193-226, June.
- Tang, Ya-yong & Lam, Yeh, 2006. "A [delta]-shock maintenance model for a deteriorating system," European Journal of Operational Research, Elsevier, vol. 168(2), pages 541-556, January.
- Gut, Allan & Hüsler, Jürg, 2005. "Realistic variation of shock models," Statistics & Probability Letters, Elsevier, vol. 74(2), pages 187-204, September.
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Cited by:
- RodrÃguez, Joanna & Lillo, Rosa E. & RamÃrez-Cobo, Pepa, 2016. "Dependence patterns for modeling simultaneous events," Reliability Engineering and System Safety, Elsevier, vol. 154(C), pages 19-30.
- Hyunju Lee & Ji Hwan Cha, 2021. "A general multivariate new better than used (MNBU) distribution and its properties," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(1), pages 27-46, January.
- Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2017. "Redundancy optimization for series-parallel phased mission systems exposed to random shocks," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 554-560.
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Keywords
Markovian arrival process; Phase-type distribution; Minimal repair; Replacement; Shock and wear model;All these keywords.
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