Volume 39 - Article 23 | Pages 671–684
The impact of proportional changes in age-specific mortality on life expectancy when the mortality rate is a log-linear function of age
By Michael Væth, Mette Vinther Skriver, Henrik Støvring
References
Broadbent, S. (1958). Simple mortality rates. Applied Statistics 7(2): 85–96.
Haybittle, J. (1998). The use of the Gompertz function to relate changes in life expectancy to the standard mortality ratio. International Journal of Epidemiology 27(5): 885–889.
Human Mortality Database (2017). Human mortality database [electronic resource]. Berkeley and Rostock: University of California and Max Planck Institute for Demographic Research.
Karn, M. (1931). An inquiry into various death rates and the comparative influence of certain diseases on the duration of life. Annals of Eugenics 4(3–4): 279–302.
Keyfitz, N. (1985). Applied mathematical demography. New York: Springer.
Keyfitz, N. (1977). What difference would it make if cancer were eradicated? An examination of the Taeuber paradox. Demography 14(4): 411–418.
Lai, D., Hardy, R., and Tsai, S. (1996). Statistical analysis of the standardized mortality ratio and life expectancy. American Journal of Epidemiology 143(8): 832–840.
Pollard, J. (1991). Fun with Gompertz. Genus 47(1–2): 1–20.
Skriver, M., Væth, M., and Støvring, H. (2018). A method to estimate differences in life expectancy from a standardized mortality ratio. Scandinavian Journal of Public Health (forthcoming).
Spiegelhalter, D. (2016). How old are you, really? Communicating chronic risk through ‘effective age’ of body and organs. BMC Medical Informatics and Decision Making 16: 104.
StataCorp (2015). Stata: Release 14: Statistical software [electronic resource]. College Station: StataCorp.
Temme, N. (2010). Exponential, logarithmic, sine, cosine integrals. In: Olver, F., Lozier, D., Boisvert, R., and Clark, C. (eds.). NIST handbook of mathematical functions. New York: Cambridge University Press: 150–156.
Tsai, S., Hardy, R., and Wen, C. (1992). The standardized mortality ratio and life expectancy. American Journal of Epidemiology 135(7): 824–830.
Vaupel, J. (1986). How changes in age-specific mortality affects life expectancy. Population Studies 40: 147–157.
Vaupel, J. and Canudas Romo, V. (2003). Decomposing change in life expectancy: A bouquet of formulas in honor of Nathan Keyfitz’s 90th birthday. Demography 40(3): 201–2016.
Wrycza, T. and Baudisch, A. (2012). How life expectancy varies with perturbations in age-specific mortality. Demographic Research 27(13): 365–376.