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Some new stochastic comparisons for redundancy allocations in series and parallel systems


  • Li, Xiaohu
  • Hu, Xiaoxiao


This note studies the allocation of an active redundant component in a series system. We mainly conduct a stochastic comparison between random lives of a series system with two components under two allocation choices. The case with a standby redundancy and when the system is parallel are discussed as well.

Suggested Citation

  • Li, Xiaohu & Hu, Xiaoxiao, 2008. "Some new stochastic comparisons for redundancy allocations in series and parallel systems," Statistics & Probability Letters, Elsevier, vol. 78(18), pages 3388-3394, December.
  • Handle: RePEc:eee:stapro:v:78:y:2008:i:18:p:3388-3394

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    References listed on IDEAS

    1. Mark Bagnoli & Ted Bergstrom, 2005. "Log-concave probability and its applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(2), pages 445-469, August.
    2. Valdés, José E. & Zequeira, Rómulo I., 2003. "On the optimal allocation of an active redundancy in a two-component series system," Statistics & Probability Letters, Elsevier, vol. 63(3), pages 325-332, July.
    3. Arcones M. A. & Kvam P. H. & Samaniego F. J., 2002. "Nonparametric Estimation of a Distribution Subject to a Stochastic Precedence Constraint," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 170-182, March.
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    Cited by:

    1. Misra, Amit Kumar & Misra, Neeraj, 2011. "A note on active redundancy allocations in k-out-of-n systems," Statistics & Probability Letters, Elsevier, vol. 81(10), pages 1518-1523, October.
    2. Belzunce, Félix & Martínez-Puertas, Helena & Ruiz, José M., 2013. "On allocation of redundant components for systems with dependent components," European Journal of Operational Research, Elsevier, vol. 230(3), pages 573-580.
    3. Valdés, José E. & Arango, Gerardo & Zequeira, Romulo I. & Brito, Gerandy, 2010. "Some stochastic comparisons in series systems with active redundancy," Statistics & Probability Letters, Elsevier, vol. 80(11-12), pages 945-949, June.
    4. Montes, Ignacio & Montes, Susana, 2016. "Stochastic dominance and statistical preference for random variables coupled by an Archimedean copula or by the Fr e ´ chet–Hoeffding upper bound," Journal of Multivariate Analysis, Elsevier, vol. 143(C), pages 275-298.
    5. Zhao, Peng & Zhang, Yiying & Chen, Jianbin, 2017. "Optimal allocation policy of one redundancy in a n-component series system," European Journal of Operational Research, Elsevier, vol. 257(2), pages 656-668.

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