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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.
    2. Li, Xiaohu & Da, Gaofeng, 2010. "Stochastic comparisons in multivariate mixed model of proportional reversed hazard rate with applications," Journal of Multivariate Analysis, Elsevier, vol. 101(4), pages 1016-1025, April.
    3. Hazra, Nil Kamal & Nanda, Asok K., 2015. "A note on warm standby system," Statistics & Probability Letters, Elsevier, vol. 106(C), pages 30-38.
    4. Misra, Neeraj & Francis, Jisha, 2015. "Relative ageing of (n−k+1)-out-of-n systems," Statistics & Probability Letters, Elsevier, vol. 106(C), pages 272-280.
    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.
    6. 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.
    7. Subhash C. Kochar & Douglas P. Wiens, 1987. "Partial orderings of life distributions with respect to their aging properties," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(6), pages 823-829, December.
    8. 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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    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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