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On gamma-Gompertz life expectancy

Author

Listed:
  • Castellares, Fredy
  • Patrício, Silvio C.
  • Lemonte, Artur J.

Abstract

A closed-form expression for the remaining life expectancy based on the gamma-Gompertz model has been derived recently in the literature. However, the closed-form expression available to users is not correct. We provide, therefore, a valid and correct expression for the life expectancy at age x by using elementary calculus. We also consider a comparative numerical study by using real data to confirm that the formula we provide works properly.

Suggested Citation

  • Castellares, Fredy & Patrício, Silvio C. & Lemonte, Artur J., 2020. "On gamma-Gompertz life expectancy," Statistics & Probability Letters, Elsevier, vol. 165(C).
    • Handle: RePEc:eee:stapro:v:165:y:2020:i:c:s0167715220301358
    DOI: 10.1016/j.spl.2020.108832
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    References listed on IDEAS

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    1. Scrucca, Luca, 2013. "GA: A Package for Genetic Algorithms in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 53(i04).
    2. Trifon Missov, 2013. "Gamma-Gompertz life expectancy at birth," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 28(9), pages 259-270.
    3. James Vaupel & Kenneth Manton & Eric Stallard, 1979. "The impact of heterogeneity in individual frailty on the dynamics of mortality," Demography, Springer;Population Association of America (PAA), vol. 16(3), pages 439-454, August.
    4. Böhnstedt, Marie & Gampe, Jutta, 2019. "Detecting mortality deceleration: Likelihood inference and model selection in the gamma-Gompertz model," Statistics & Probability Letters, Elsevier, vol. 150(C), pages 68-73.
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    Cited by:

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    2. Silvio Cabral Patricio & Trifon Missov, 2024. "Makeham mortality models as mixtures: Advancing mortality estimations through competing risks frameworks," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 51(18), pages 595-624.

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