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Modeling old-age mortality risk for the populations of Australia and New Zealand: An extreme value approach

Author

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  • Li, J.S.H.
  • Ng, A.C.Y.
  • Chan, W.S.

Abstract

Old-age mortality for populations of developed countries has been improving rapidly since the 1950s. This phenomenon, which is often referred to as ‘rectangularization’ of mortality, implies an increased survival at advanced ages. With this increase comes different challenges to actuaries, economists and policy planners. A reliable estimate of old-age mortality would definitely help them develop various demographic and financial projections. Unfortunately, data quality issues have made the modeling of old-age mortality difficult and we need a method that can extrapolate a survival distribution to extreme ages without requiring accurate mortality data for the centenarian population. In this paper, we focus on a method called the threshold life table which systematically integrates extreme value theory to the parametric modeling of mortality. We apply the threshold life table to model the most recent period (static) mortality rates for the populations of Australia and New Zealand. We observe a good fit to the raw data for both populations. We then extend the model to predict the highest attained age, which is commonly referred to as ‘omega’ or ω in the actuarial literature, for the populations of Australia and New Zealand. On the basis of the threshold life table, the central estimates of ω for Australia and New Zealand are 112.20 and 109.43, respectively. Our estimates of ω are reasonably consistent with the validated supercentenarian in these countries.

Suggested Citation

  • Li, J.S.H. & Ng, A.C.Y. & Chan, W.S., 2011. "Modeling old-age mortality risk for the populations of Australia and New Zealand: An extreme value approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(7), pages 1325-1333.
    • Handle: RePEc:eee:matcom:v:81:y:2011:i:7:p:1325-1333
    DOI: 10.1016/j.matcom.2010.04.025
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    References listed on IDEAS

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    1. Johnny Siu-Hang Li & Mary Hardy & Ken Seng Tan, 2008. "Threshold Life Tables and Their Applications," North American Actuarial Journal, Taylor & Francis Journals, vol. 12(2), pages 99-115.
    2. Robert Bourbeau & Bertrand Desjardins, 2002. "Dealing with Problems in Data Quality for the Measurement of Mortality at Advanced Ages in Canada," North American Actuarial Journal, Taylor & Francis Journals, vol. 6(3), pages 1-13.
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    Cited by:

    1. Jackie Li & Jia Liu, 2020. "A modified extreme value perspective on best-performance life expectancy," Journal of Population Research, Springer, vol. 37(4), pages 345-375, December.
    2. Dennis M. Feehan, 2018. "Separating the Signal From the Noise: Evidence for Deceleration in Old-Age Death Rates," Demography, Springer;Population Association of America (PAA), vol. 55(6), pages 2025-2044, December.

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