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Relative ageing in frailty and resilience models

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  • Neeraj Misra

    (Indian Institute of Technology)

  • Jisha Francis

    (Indian Institute of Technology)

Abstract

Frailty and resilience models provide a convenient tool to introduce random effects, dependence and unobserved heterogeneity into the models for survival data. In this paper, we study the ageing of baseline distribution function $$H_0$$H0 relative to ageing of frailty distribution corresponding to $$H_0$$H0. We also study the relative ageing of frailty models having the same baseline distribution but different frailty distributions. Similar study is carried out for resilience models.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:metrik:v:83:y:2020:i:2:d:10.1007_s00184-019-00726-5
    DOI: 10.1007/s00184-019-00726-5
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    References listed on IDEAS

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    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.
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    5. 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.
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    Cited by:

    1. Francisco Germán Badía & María Dolores Berrade, 2022. "On the Residual Lifetime and Inactivity Time in Mixtures," Mathematics, MDPI, vol. 10(15), pages 1-20, August.

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