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Mean residual life functions of finite mixtures, order statistics and coherent systems

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  • Jorge Navarro
  • Pedro Hernandez

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  • Jorge Navarro & Pedro Hernandez, 2008. "Mean residual life functions of finite mixtures, order statistics and coherent systems," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 67(3), pages 277-298, April.
    • Handle: RePEc:spr:metrik:v:67:y:2008:i:3:p:277-298
    DOI: 10.1007/s00184-007-0133-8
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    1. Maxim S. Finkelstein & Veronica Esaulova, 2005. "Asymptotic behavior of mixture failure rates," MPIDR Working Papers WP-2005-023, Max Planck Institute for Demographic Research, Rostock, Germany.
    2. Navarro, Jorge & Ruiz, Jose M. & Sandoval, Carlos J., 2005. "A note on comparisons among coherent systems with dependent components using signatures," Statistics & Probability Letters, Elsevier, vol. 72(2), pages 179-185, April.
    3. Avinash Agrawal & Richard E. Barlow, 1984. "A Survey of Network Reliability and Domination Theory," Operations Research, INFORMS, vol. 32(3), pages 478-492, June.
    4. Matthias Fischer & Ingo Klein, 2007. "Constructing Generalized FGM Copulas by Means of Certain Univariate Distributions," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 65(2), pages 243-260, February.
    5. Bekker, Leonid & Mi, Jie, 2003. "Shape and crossing properties of mean residual life functions," Statistics & Probability Letters, Elsevier, vol. 64(3), pages 225-234, September.
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    Citations

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    Cited by:

    1. Jorge Navarro & Antonio Guillamón & María del Carmen Ruiz, 2009. "Generalized mixtures in reliability modelling: Applications to the construction of bathtub shaped hazard models and the study of systems," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 25(3), pages 323-337, May.
    2. Sareh Goli, 2019. "On the conditional residual lifetime of coherent systems under double regularly checking," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(4), pages 352-363, June.
    3. Navarro, Jorge & Rychlik, Tomasz, 2010. "Comparisons and bounds for expected lifetimes of reliability systems," European Journal of Operational Research, Elsevier, vol. 207(1), pages 309-317, November.
    4. Konul Bayramoglu Kavlak, 2017. "Reliability and mean residual life functions of coherent systems in an active redundancy," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(1), pages 19-28, February.
    5. Jorge Navarro, 2018. "Distribution-free comparisons of residual lifetimes of coherent systems based on copula properties," Statistical Papers, Springer, vol. 59(2), pages 781-800, June.
    6. Maxim S. Finkelstein, 2009. "Understanding the shape of the mixture failure rate (with engineering and demographic applications)," MPIDR Working Papers WP-2009-031, Max Planck Institute for Demographic Research, Rostock, Germany.
    7. Jorge Navarro, 2009. "‘Understanding the shape of the mixture failure rate’ by Maxim Finkelstein: Discussion 2," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 25(6), pages 669-672, November.
    8. Hashemi, Marzieh & Tavangar, Mahdi & Asadi, Majid, 2010. "Some properties of the residual lifetime of progressively Type-II right censored order statistics," Statistics & Probability Letters, Elsevier, vol. 80(9-10), pages 848-859, May.
    9. Zhang, Zhengcheng & Yang, Yonghong, 2010. "Ordered properties on the residual life and inactivity time of (n-k+1)-out-of-n systems under double monitoring," Statistics & Probability Letters, Elsevier, vol. 80(7-8), pages 711-717, April.
    10. Chadjiconstantinidis, Stathis & Eryilmaz, Serkan, 2023. "Reliability of a mixed δ-shock model with a random change point in shock magnitude distribution and an optimal replacement policy," Reliability Engineering and System Safety, Elsevier, vol. 232(C).
    11. Francisco Germán Badía & Hyunju Lee, 2020. "On stochastic comparisons and ageing properties of multivariate proportional hazard rate mixtures," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 83(3), pages 355-375, April.
    12. 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.
    13. Eryilmaz, Serkan, 2012. "On the mean residual life of a k-out-of-n:G system with a single cold standby component," European Journal of Operational Research, Elsevier, vol. 222(2), pages 273-277.
    14. Eryılmaz, Serkan, 2009. "Reliability properties of consecutive k-out-of-n systems of arbitrarily dependent components," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 350-356.
    15. M. Poursaeed, 2010. "A note on the mean past and the mean residual life of a (n − k + 1)-out-of-n system under multi monitoring," Statistical Papers, Springer, vol. 51(2), pages 409-419, June.
    16. F. G. Badía & Ji Hwan Cha, 2017. "On bending (down and up) property of reliability measures in mixtures," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 80(4), pages 455-482, May.
    17. Omid Shojaee & Majid Asadi & Maxim Finkelstein, 2021. "On Some Properties of $$\alpha $$ α -Mixtures," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(8), pages 1213-1240, November.
    18. Navarro, Jorge & Durante, Fabrizio, 2017. "Copula-based representations for the reliability of the residual lifetimes of coherent systems with dependent components," Journal of Multivariate Analysis, Elsevier, vol. 158(C), pages 87-102.
    19. Serkan Eryilmaz & Frank P.A. Coolen & Tahani Coolen‐Maturi, 2018. "Mean residual life of coherent systems consisting of multiple types of dependent components," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(1), pages 86-97, February.

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