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Competing Between Two Groups of Individuals Following Frailty Models

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Listed:
  • Xiaohu Li

    (Xiamen University)

  • Gaofeng Da

    (Lanzhou University)

  • Peng Zhao

    (Lanzhou University)

Abstract

This paper studies the competing system between two groups of individuals, each of them follows multivariate frailty models. We investigate the distribution of the number of individuals in one group to survive some failure in the other group and how the frailty vector of each group has an impact on the distribution by using stochastic comparisons. Applications in candidates selection by ranking and engineering reliability are presented as well.

Suggested Citation

  • Xiaohu Li & Gaofeng Da & Peng Zhao, 2012. "Competing Between Two Groups of Individuals Following Frailty Models," Methodology and Computing in Applied Probability, Springer, vol. 14(4), pages 1033-1051, December.
    • Handle: RePEc:spr:metcap:v:14:y:2012:i:4:d:10.1007_s11009-011-9218-y
    DOI: 10.1007/s11009-011-9218-y
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    References listed on IDEAS

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    1. Asok Nanda & Moshe Shaked, 2001. "The Hazard Rate and the Reversed Hazard Rate Orders, with Applications to Order Statistics," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 53(4), pages 853-864, December.
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    Cited by:

    1. M. Kayid & S. Izadkhah & Ming J. Zuo, 2017. "Some results on the relative ordering of two frailty models," Statistical Papers, Springer, vol. 58(2), pages 287-301, June.
    2. J. Jarrahiferiz & M. Kayid & S. Izadkhah, 2019. "Stochastic properties of a weighted frailty model," Statistical Papers, Springer, vol. 60(1), pages 53-72, February.
    3. Li, Xiaopeng & Sun, Shiwen & Xia, Chengyi, 2019. "Reputation-based adaptive adjustment of link weight among individuals promotes the cooperation in spatial social dilemmas," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 810-820.

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