Volume 32 - Article 36 | Pages 1031–1048
The Gompertz force of mortality in terms of the modal age at death
By Trifon Missov, Adam Lenart, Laszlo Nemeth, Vladimir Canudas-Romo, James W. Vaupel
References
Beard, R.E. (1959). Note on Some Mathematical Mortality Models. In: Wolstenholme, G.E.W. and O'Connor, M. (eds.). The Lifespan of Animals. Ciba Foundation Colloquium on Ageing. Boston, MA: Little, Brown and Company: 302-311.
Bongaarts, J. (2005). Long-range trends in adult mortality: Models and projection methods. Demography 42(1): 23-49.
Brillinger, D.R. (1986). A Biometrics Invited Paper with Discussion: The Natural Variability of Vital Rates and Associated Statistics. Biometrics 42(4): 693-734.
Canudas-Romo, V. (2008). The modal age at death and the shifting mortality hypothesis. Demographic Research 19(30): 1179-1204.
Canudas-Romo, V. (2010). Three measures of longevity: Time trends and record values. Demography 47(2): 299-312.
Cheung, S.L.K. and Robine, J.-M. (2007). Increase in common longevity and the compression of mortality: The case of Japan. Population Studies 61(1): 85-97.
Cheung, S.L.K., Robine, J.-M., Tu, E.J.-C., and Caselli, G. (2005). Three dimensions of the survival curve: horizontalization, verticalization, and longevity extension. Demography 42(2): 243-258.
Dowd, K., Cairns, A.J.G., Blake, D., Coughlan, G.D., Epstein, D., and Khalaf-Allah, M. (2010). Evaluating the goodness of fit of stochastic mortality models. Insurance: Mathematics and Economics 47(3): 255-265.
Gompertz, B. (1825). On the Nature of the Function Expressive of the Law of Human Mortality, and on a New Mode of Determining the Value of Life Contingencies. Philosophical Transactions of the Royal Society of London 115: 513-583.
Greenwood, M. (1928). “Laws” of Mortality from the Biological point of view. Epidemiology & Infection 28(3): 267-294.
Gumbel, E.J. (1958). Statistics of Extremes. New York: Columbia University Press.
Gupta, A.K. and Székely, G.J. (1994). On location and scale maximum likelihood estimators. Proceedings of the American Mathematical Society 120(2): 585-589.
HMD (2014). The Human Mortality Database [electronic resource].
Horiuchi, S., Ouellette, N., Cheung, S.L.K., and Robine, J.-M. (2013). Modal age at death: lifespan indicator in the era of longevity extension. Vienna Yearbook of Population Research 2013 2013: 37-69.
Kannisto, V. (2001). Mode and dispersion of the length of life. Population 13(1): 159-171.
Lenart, A. and Missov, T.I. (2015). Goodness-of-fit tests for the Gompertz distribution. Communications in Statistics: Theory and Methods 44.
Missov, T.I. and Lenart, A. (2013). Gompertz–Makeham life expectancies: Expressions and applications. Theoretical Population Biology 90: 29-35.
Nemeth, L. and Missov, T.I. (2014). How Wrong Could Parameter Estimates Be? Statistical Consequences of Fitting the Wrong Model to Human Mortality Data. Paper presented at the 2014 European Population Conference, Budapest, Hungary, June 25-28 2014.
Ouellette, N. and Bourbeau, R. (2011). Changes in the age-at-death distribution in four low mortality countries: A nonparametric approach. Demographic Research 25(19): 595-628.
Pletcher, S.D. (1999). Model fitting and hypothesis testing for age-specific mortality data. Journal of Evolutionary Biology 12(3): 430-439.
Pollard, J.H. (1998). An old tool – modern applications. School of Economic and Financial Studies, Macquarie University Sydney NSW Australia (Research Paper Series No. 001/98).
Pollard, J.H. (1998). Keeping abreast of mortality change. School of Economic and Financial Studies, Macquarie University Sydney NSW Australia (Research Paper Series No. 002/98).
Strehler, B.L. and Mildvan, A.S. (1960). General Theory of Mortality and Aging. Science 132(3418): 14-21.
Thatcher, A.R., Cheung, S.L.K., Horiuchi, S., and Robine, J.-M. (2010). The compression of deaths above the mode. Demographic Research 22(17): 505-538.
Vaupel, J.W. (2010). Biodemography of human ageing. Nature 464(7288): 536-542.
Vaupel, J.W. (1986). How Change in Age-specific Mortality Affects Life Expectancy. Population Studies 40(1): 147-157.
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.
Wood, S.. mgcv: Mixed gam computation vehicle with gcv/aic/reml smoothness estimation.