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A study on the mean past lifetime of the components of (n − k + 1)-out-of-n system at the system level

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  • Mahdi Tavangar
  • Majid Asadi

Abstract

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Suggested Citation

  • Mahdi Tavangar & Majid Asadi, 2010. "A study on the mean past lifetime of the components of (n − k + 1)-out-of-n system at the system level," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 72(1), pages 59-73, July.
    • Handle: RePEc:spr:metrik:v:72:y:2010:i:1:p:59-73
    DOI: 10.1007/s00184-009-0241-8
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    Citations

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    Cited by:

    1. Asadi, Majid & Berred, Alexandre, 2012. "On the number of failed components in a coherent operating system," Statistics & Probability Letters, Elsevier, vol. 82(12), pages 2156-2163.
    2. Funda Iscioglu & Aysegul Erem, 2021. "Reliability analysis of a multi-state system with identical units having two dependent components," Journal of Risk and Reliability, , vol. 235(2), pages 241-252, April.
    3. S. Goli & M. Asadi, 2017. "A study on the conditional inactivity time of coherent systems," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 80(2), pages 227-241, February.
    4. Goodarzi, F. & Amini, M. & Mohtashami Borzadaran, G.R., 2016. "On upper bounds for the variance of functions of the inactivity time," Statistics & Probability Letters, Elsevier, vol. 117(C), pages 62-71.
    5. M. Kelkin Nama & M. Asadi, 2014. "Stochastic Properties of Components in a Used Coherent System," Methodology and Computing in Applied Probability, Springer, vol. 16(3), pages 675-691, September.
    6. Mahdy, Mervat, 2016. "Further results related to variance past lifetime class & associated orderings and their properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 1148-1160.
    7. Jorge Navarro & Rafael Rubio, 2011. "A note on necessary and sufficient conditions for ordering properties of coherent systems with exchangeable components," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(5), pages 478-489, August.
    8. Parvardeh, A. & Balakrishnan, N., 2013. "Conditional residual lifetimes of coherent systems," Statistics & Probability Letters, Elsevier, vol. 83(12), pages 2664-2672.
    9. Madadi, Mohsen & Khalilpoor, Parisa & Jamalizadeh, Ahad, 2015. "Regression mean residual life of a system with three dependent components with normal lifetimes," Statistics & Probability Letters, Elsevier, vol. 100(C), pages 182-191.
    10. Salehi, Ebrahim & Tavangar, Mahdi, 2019. "Stochastic comparisons on conditional residual lifetime and inactivity time of coherent systems with exchangeable components," Statistics & Probability Letters, Elsevier, vol. 145(C), pages 327-337.
    11. Tavangar, Mahdi & Bairamov, Ismihan, 2015. "On conditional residual lifetime and conditional inactivity time of k-out-of-n systems," Reliability Engineering and System Safety, Elsevier, vol. 144(C), pages 225-233.
    12. Serkan Eryılmaz, 2013. "On residual lifetime of coherent systems after the rth failure," Statistical Papers, Springer, vol. 54(1), pages 243-250, February.
    13. E. Salehi & M. Asadi, 2012. "Results on the past lifetime of (n − k + 1)-out-of-n structures with nonidentical components," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 75(4), pages 439-454, May.
    14. Mahdi Tavangar, 2014. "Some comparisons of residual life of coherent systems with exchangeable components," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(7), pages 549-556, October.

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