Gamma-Gompertz life expectancy at birth

Article OPEN
Trifon I. Missov;
  • Publisher: Max Planck Institute for Demographic Research
  • Journal: Demographic Research, volume 28, issue 9 February, pages 259-270 (issn: 1435-9871)
  • Publisher copyright policies & self-archiving
  • Subject: HB848-3697 | gamma-Gompertz frailty model, hypergeometric function, life expectancy, life expectancy at birth | life expectancy at birth | gamma-Gompertz frailty model | approximations | Demography. Population. Vital events | hypergeometric function
    • jel: jel:J1 | jel:Z0

BACKGROUND The gamma-Gompertz multiplicative frailty model is the most common parametric modelapplied to human mortality data at adult and old ages. The resulting life expectancy hasbeen calculated so far only numerically. OBJECTIVE Properties of the gamma-Gompertz dist... View more
  • References (10)

    Abramowitz, M. and Stegun, I. (1965). Handbook of Mathematical Functions. Washington, DC: US Government Printing Office.

    Bailey, W.N. (1935). Generalised Hypergeometric Series. Cambridge: University Press.

    Beard, R.E. (1959). Note on some mathematical mortality models. In: Woolstenholme, G. and O'Connor, M. (eds.). The Lifespan of Animals. Little, Brown and Company: 302-311.

    Finkelstein, M.S. and Esaulova, V. (2006). Asymptotic behavior of a general class of mixture failure rates. Advances in Applied Probability 38(1): 244-262. doi:10.1239/aap/1143936149.

    HMD (2012). The human mortality database.

    Keyfitz, N. and Caswell, H. (2005). Applied Mathematical Demography. New York: Springer, 3rd ed.

    Lebedev, N.N. (1965). Special Functions and Their Applications. Englewood Cliffs, N.J.: Prentice-Hall.

    MathWorld (2012). Wolfram

    Vaupel, J.W. (2008). Supercentenarians and the theory of heterogeneity. [unpublished manuscript]. Rostock: Max Planck Institute for Demographic Research. Johann Süßmilch Lecture Series in 2008/2009.

    Vaupel, J.W., Manton, K.G., and Stallard, E. (1979). The impact of heterogeneity in individual frailty on the dynamics of mortality. Demography 16(3): 439-454. doi:10.2307/2061224.

  • Similar Research Results (1)
  • Metrics
Share - Bookmark