Gompertz-Makeham life expectancies: Expressions and applications

Theoretical Population Biology

Volumn 90, Issue , 2013, Pages 29-35

  Missov, Trifon I ^a,b   Lenart, Adam ^a,c  

^a MAX PLANCK INSTITUTE FOR DEMOGRAPHIC RESEARCH   (Germany)

^b UNIVERSITY OF ROSTOCK   (Germany)

^c UNIVERSITY OF SOUTHERN DENMARK   (Denmark)

Author keywords

Elasticities; Exposures; Gompertz Makeham model; Life expectancy; Special functions; Unobserved heterogeneity

Indexed keywords

ACCURACY ASSESSMENT; ELASTICITY; HAZARD; HETEROGENEITY; HOMOGENEITY; MORTALITY;

ARTICLE; ELASTICITIES; EXPOSURES; GOMPERTZ-MAKEHAM MODEL; HUMAN; LIFE EXPECTANCY; SPECIAL FUNCTIONS; THEORETICAL MODEL; UNOBSERVED HETEROGENEITY;

ELASTICITIES; EXPOSURES; GOMPERTZ-MAKEHAM MODEL; LIFE EXPECTANCY; SPECIAL FUNCTIONS; UNOBSERVED HETEROGENEITY;

HUMANS; LIFE EXPECTANCY; MODELS, THEORETICAL;

EID: 84888056498     PISSN: 00405809     EISSN: 10960325     Source Type: Journal    
DOI: 10.1016/j.tpb.2013.09.013     Document Type: Article

References (17)

1. Abramowitz M., Stegun I. Handbook of Mathematical Functions 1965, US Government Printing Office, Washington, DC.
2. Bailey W.N. Generalised Hypergeometric Series 1935, University Press, Cambridge, England.
3. Beard R. Note on Some Mathematical Mortality Models 1959, 302-311. Little, Brown and Company, Boston. G.E.W. Woolstenholme, M. O'Connor (Eds.).
4. Brillinger D.R. The natural variability of vital rates and associated statistics. Biometrics 1986, 693-734.
5. Gompertz B. 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 1825, 115:513-583.
6. Gurven M., Kaplan H. Longevity among hunter-gatherers: a cross-cultural examination. Population and Development Review 2007, 33(2):321-365.
7. HMD, 2013. The human mortality database. http://www.mortality.org/.
8. Kirkwood T. Comparative and evolutionary aspects of longevity. Handbook of the Biology of Aging 1985, 27-43. Van Nostrand Reinhold Company, New York. C. Finch, E. Schneider (Eds.).
9. Lenart A. The moments of the Gompertz distribution and maximum likelihood estimation of its parameters. Scandinavian Actuarial Journal 2012, 1-23.
10. Makeham W. On the law of mortality and the construction of annuity tables. Journal of the Institute of Actuaries 1860, 8:301-310.
11. Missov T. Gamma-Gompertz life expectancy at birth. Demographic Research 2013, 28(9):259-270.
12. Missov T., Finkelstein M. Admissible mixing distributions for a general class of mixture survival models with known asymptotics. Theoretical Population Biology 2011, 80(1):64-70.
13. Missov T., Lenart A. Linking period and cohort life-expectancy linear increases in Gompertz proportional hazards models. Demographic Research 2011, 24(19):455-468.
14. Missov, T., Vaupel, J., 2013. Mortality implications of mortality plateaus.
15. Tuljapurkar S., Li N., Boe C. A universal pattern of mortality decline in the G7 countries. Nature 2000, 405(6788):789-792.
16. Vaupel J. How change in age-specific mortality affects life expectancy. Population Studies 1986, 40(1):147-157.
17. Vaupel J., Manton K., Stallard E. The impact of heterogeneity in individual frailty on the dynamics of mortality. Demography 1979, 16:439-454.