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A Mixture Model Incorporating Individual Heterogeneity in Human Lifetimes

Fei Huang, Ross Maller, Brandon Milholland, Xu Ning
doi: https://doi.org/10.1101/2021.01.29.428902
Fei Huang
1School of Risk and Actuarial Studies, the University of New South Wales
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  • For correspondence: feihuang@unsw.edu.au
Ross Maller
2Research School of Finance, Actuarial Studies & Statistics, Australian National University
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Brandon Milholland
3IQVIA, Plymouth Meeting, PA
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Xu Ning
2Research School of Finance, Actuarial Studies & Statistics, Australian National University
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Abstract

Analysis of some extensive individual-record data using a demographically informed model suggests constructing a general population model in which the lifetime of a person, beyond a certain threshold age, follows an extreme value distribution with a finite upper bound, and with that upper bound randomized over the population. The resulting population model incorporates heterogeneity in life-lengths, with lifetimes being finite individually, but with extremely long lifespans having negligible probability. Our findings are compared in detail with those of related studies in the literature, and used to reconcile contradictions between previous studies of extreme longevity. While being consistent with currently reported analyses of human lifetimes, we nevertheless differ with those who conclude in favour of unbounded human lifetimes.

Competing Interest Statement

The authors have declared no competing interest.

Footnotes

  • ↵† Email: Ross.Maller{at}anu.edu.au

  • ↵‡ Email: brandon.milholland{at}phd.einstein.yu.edu

  • ↵§ Email: Xu.Ning{at}anu.edu.au

Copyright 
The copyright holder for this preprint is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. All rights reserved. No reuse allowed without permission.
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Posted February 01, 2021.
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A Mixture Model Incorporating Individual Heterogeneity in Human Lifetimes
Fei Huang, Ross Maller, Brandon Milholland, Xu Ning
bioRxiv 2021.01.29.428902; doi: https://doi.org/10.1101/2021.01.29.428902
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A Mixture Model Incorporating Individual Heterogeneity in Human Lifetimes
Fei Huang, Ross Maller, Brandon Milholland, Xu Ning
bioRxiv 2021.01.29.428902; doi: https://doi.org/10.1101/2021.01.29.428902

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