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Some results on the relative ordering of two frailty models

Author

Listed:
  • M. Kayid

    (King Saud University
    Suez University)

  • S. Izadkhah

    (Higher Education Complex of Bam)

  • Ming J. Zuo

    (University of Electronic Science and Technology of China
    University of Alberta)

Abstract

In this paper, relative behavior of two frailty models with different frailty variables and a common baseline variable are considered. We show that, under some conditions on frailty variables, the ratio of the hazard rate (mean residual life) functions of two frailty models is increasing. Finally, some applications are examined to validate the obtained results.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:stpapr:v:58:y:2017:i:2:d:10.1007_s00362-015-0697-8
    DOI: 10.1007/s00362-015-0697-8
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    References listed on IDEAS

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    1. Bartoszewicz, Jaroslaw, 2001. "Stochastic comparisons of random minima and maxima from life distributions," Statistics & Probability Letters, Elsevier, vol. 55(1), pages 107-112, November.
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    3. Majid Rezaei & Behzad Gholizadeh & Salman Izadkhah, 2015. "On Relative Reversed Hazard Rate Order," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(2), pages 300-308, January.
    4. Cha, Ji Hwan & Finkelstein, Maxim, 2014. "Some notes on unobserved parameters (frailties) in reliability modeling," Reliability Engineering and System Safety, Elsevier, vol. 123(C), pages 99-103.
    5. Finkelstein, Maxim, 2006. "On relative ordering of mean residual lifetime functions," Statistics & Probability Letters, Elsevier, vol. 76(9), pages 939-944, May.
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    7. Bhattacharjee, Subarna & Nanda, Asok K. & Misra, Satya Kr., 2013. "Reliability analysis using ageing intensity function," Statistics & Probability Letters, Elsevier, vol. 83(5), pages 1364-1371.
    8. James Vaupel & Kenneth Manton & Eric Stallard, 1979. "The impact of heterogeneity in individual frailty on the dynamics of mortality," Demography, Springer;Population Association of America (PAA), vol. 16(3), pages 439-454, August.
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    Cited by:

    1. Neeraj Misra & Jisha Francis, 2020. "Relative ageing in frailty and resilience models," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 83(2), pages 171-196, February.
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    3. Elham Khaleghpanah Noughabi & Majid Chahkandi & Majid Rezaei, 2022. "On the Mean and Variance Residual Life Comparisons of Coherent Systems with Identically Distributed Components," Methodology and Computing in Applied Probability, Springer, vol. 24(4), pages 2801-2822, December.

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