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Understanding Mortality Rate Deceleration and Heterogeneity

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  • David Steinsaltz
  • Kenneth Wachter

Abstract

Generic relationships between heterogeneity in population frailty and flattening of aggregate population hazard functions at extreme ages are drawn from classical mathematical results on the limiting behavior of Laplace transforms. In particular, it shows that the population hazard function converges to a constant precisely when the distribution of unobserved heterogeneity in initial mortalities behaves asymptotically as a polynomial near zero.

Suggested Citation

  • David Steinsaltz & Kenneth Wachter, 2006. "Understanding Mortality Rate Deceleration and Heterogeneity," Mathematical Population Studies, Taylor & Francis Journals, vol. 13(1), pages 19-37.
  • Handle: RePEc:taf:mpopst:v:13:y:2006:i:1:p:19-37
    DOI: 10.1080/08898480500452117
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    Citations

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    Cited by:

    1. repec:eee:thpobi:v:109:y:2016:i:c:p:54-62 is not listed on IDEAS
    2. Maxim Finkelstein, 2012. "Discussing the Strehler-Mildvan model of mortality," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 26(9), pages 191-206, March.
    3. Annamaria Olivieri & Ermanno Pitacco, 2016. "Frailty and Risk Classification for Life Annuity Portfolios," Risks, MDPI, Open Access Journal, vol. 4(4), pages 1-23, October.
    4. Kenneth Manton & Igor Akushevich & Alexander Kulminski, 2008. "Human Mortality at Extreme Ages: Data from the NLTCS and Linked Medicare Records," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(3), pages 137-159.
    5. Elizabeth Wrigley-Field, 2014. "Mortality Deceleration and Mortality Selection: Three Unexpected Implications of a Simple Model," Demography, Springer;Population Association of America (PAA), vol. 51(1), pages 51-71, February.
    6. Alberto Palloni & Hiram Beltrán-Sánchez, 2017. "Discrete Barker Frailty and Warped Mortality Dynamics at Older Ages," Demography, Springer;Population Association of America (PAA), vol. 54(2), pages 655-671, April.
    7. repec:eee:thpobi:v:81:y:2012:i:4:p:292-299 is not listed on IDEAS
    8. Adrian Raftery & Jennifer Chunn & Patrick Gerland & Hana Ševčíková, 2013. "Bayesian Probabilistic Projections of Life Expectancy for All Countries," Demography, Springer;Population Association of America (PAA), vol. 50(3), pages 777-801, June.
    9. Kenneth W. Wachter, 2008. "Biodemography comes of Age," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 19(40), pages 1501-1512, August.
    10. Maxim S. Finkelstein, 2009. "Understanding the shape of the mixture failure rate (with engineering and demographic applications)," MPIDR Working Papers WP-2009-031, Max Planck Institute for Demographic Research, Rostock, Germany.
    11. repec:eee:thpobi:v:114:y:2017:i:c:p:107-116 is not listed on IDEAS
    12. repec:eee:thpobi:v:76:y:2009:i:2:p:118-131 is not listed on IDEAS
    13. Maxim S. Finkelstein, 2011. "On ordered subpopulations and population mortality at advanced ages," MPIDR Working Papers WP-2011-022, Max Planck Institute for Demographic Research, Rostock, Germany.
    14. repec:eee:thpobi:v:80:y:2011:i:1:p:64-70 is not listed on IDEAS

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