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Variability ordering of multiplicative frailty models

Author

Listed:
  • Hongmei Xie

    (Shihezi University)

  • Keshe Ni

    (Shihezi University)

  • Wenyu Liu

    (Shihezi University)

Abstract

The classical multiplicative frailty model in survival analysis accounts for unobserved heterogeneity between individuals. It is of great importance to identify how the variation of the frailty variable affects that of the overall population. This paper is mainly to present how the dispersive and the excess wealth orders between two frailty variables, translate into the corresponding orders between the resulting overall population variables. For the mean residual life and the mean inactivity time orders, we also obtain relevant analogous results in multiplicative frailty models.

Suggested Citation

  • Hongmei Xie & Keshe Ni & Wenyu Liu, 2016. "Variability ordering of multiplicative frailty models," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 79(6), pages 659-670, August.
    • Handle: RePEc:spr:metrik:v:79:y:2016:i:6:d:10.1007_s00184-015-0571-7
    DOI: 10.1007/s00184-015-0571-7
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    References listed on IDEAS

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    1. Chateauneuf, Alain & Cohen, Michele & Meilijson, Isaac, 2004. "Four notions of mean-preserving increase in risk, risk attitudes and applications to the rank-dependent expected utility model," Journal of Mathematical Economics, Elsevier, vol. 40(5), pages 547-571, August.
    2. 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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