, Volume 21, Issue 3, pp 415–424 | Cite as

Rejoinder to discussion of the paper “Human life is unlimited—but short”

  • Holger Rootzén
  • Dmitrii Zholud
Open Access


What can be learned from data about human survival at extreme age? In this rejoinder we give our views on some of the issues raised in the discussion of our paper Rootzén and Zholud (Extremes 20(4), 713–728, 2017).


Extreme human life lengths Supercentenarians Jeanne Calment Truncation Censoring Limit for human lifespan Age-biased sampling Generalized Pareto distribution 

AMS 2000 Subject Classifications

62P10 62N01 



We thank Anthony Davison, Thomas Mikosch, and Chen Zhou for helpful comments. Research supported by the Knut and Alice Wallenberg Foundation, grant KAW 2012.0067.

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  1. Davison, A.C.: The life of man, solitary, poore, nasty, brutish, and short. Extremes 21(2), to appear (2018)Google Scholar
  2. Dong, X., Milholland, B., Vijg, J.: Evidence for a limit to human lifespan. Nature 538, 257–259 (2016)CrossRefGoogle Scholar
  3. Einmahl, J., Einmahl, J.J., de Haan, L.: Limits to human life span through extreme value theory. Tilburg University Center for Economic Research Discussion Paper 2017-051 (2017)Google Scholar
  4. Ferreira, A., Huang, F.: Is human life limited or unlimited? (a discussion of the paper by Rootzen and Zholud). Extremes 21(2), to appear (2018)Google Scholar
  5. Fries, J.: Aging, natural death, and the compression of morbidity. N. Engl. J. Med. 303(3), 130–135 (1980)CrossRefGoogle Scholar
  6. Gampe, J.: Human mortality beyond age 110. In: Maier, H., et al. (eds.) Supercentenarians, Chapter 13, pp. 219–230. Springer, Heidelberg (2010)Google Scholar
  7. GRG: Gereontology research group list of validated deceased supercentenarians., downloaded October 26, 2016 (2016)
  8. Jeune, B., Robine, J.-M., Young, R., Desjardins, B., Skytthe, A., Vaupel, J.: Jeanne Calment and her successors. Biographical notes on the longest living humans. In: Maier, H., et al. (eds.) Supercentenarians, Chapter 17, pp 285–322. Springer, Heidelberg (2010)Google Scholar
  9. Keiding, N.: Comments to Rootzén & Zholud: Human life is unlimited—but short. Extremes 21(2), to appear (2018)Google Scholar
  10. Mayo, D.G., Cox, D.R.: Frequentist statistics as a theory of inductive inference. In: Optimality: The Second Erich L. Lehmann Symposium. Lecture Notes-Monograph Series, vol. 49. Institute of Mathematical Statistics (2006)Google Scholar
  11. Nerman, O.: Discussion of “Human life is unlimited—but short” by Rootzén and Zholud. Extremes 21(2), to appear (2018)Google Scholar
  12. Rootzén, H., Zholud, D.: Tail estimation for window censored processes. Technometrics 258(4), 95–103 (2016)MathSciNetCrossRefGoogle Scholar
  13. Rootzén, H., Zholud, D.: Human life is unlimited—but short. Extremes 20(4), 713–728 (2017)MathSciNetCrossRefGoogle Scholar
  14. Segers, J.: Comments on “Human life is unlimited—but short” by H. Rootzén and D. Zholud. Extremes 21(2), to appear (2018)Google Scholar
  15. Stoev, S.A., Battacharya, S.: Inference on the endpoint of human lifespan and its inherent statistical difficulty. Extremes 21(2), to appear (2018)Google Scholar
  16. Vaupel, J.W.: Biodemography of human ageing. Nature 464(25), 536–542 (2010)CrossRefGoogle Scholar
  17. Zhou, C.: Discussion on “Human life is unlimited—but short” by Holger Rootzén and Dmitrii Zholud. Extremes 21(2), to appear (2018)Google Scholar

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© The Author(s) 2018

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  1. 1.Mathematical SciencesChalmers UniversityGothenburgSweden
  2. 2.Mathematical SciencesUniversity of GothenburgGothenburgSweden

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