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Outsurvival as a measure of the inequality of lifespans between two populations

Author

Listed:
  • James W. Vaupel

    (Syddansk Universitet)

  • Marie-Pier Bergeron-Boucher

    (Syddansk Universitet)

  • Ilya Kashnitsky

    (Danmarks Statistik)

Abstract

Background: Inequality in lifespans between two populations, e.g., males and females or people with low and high socioeconomic status, is a focus of demographic, economic, and sociological research and of public policy analysis. Such inequality is usually measured by differences in life expectancy. Objective: We aim to devise a cogent measure of how much distributions of lifespans differ between two populations. Results: We propose an outsurvival statistic, φ (phi), that measures the probability that an individual from a population with low life expectancy will live longer than an individual from a population with high life expectancy. This statistic can also be interpreted as an underdog probability – the chance that a random value from a distribution with a low mean will exceed a random value from a distribution with a higher mean. Contribution: Our outsurvival probability complements life-expectancy differences to provide a more nuanced view of the inequality of lifespans between two populations. Our mathematically equivalent underdog probability provides an intuitive and widely applicable perspective on the more general question of how disparate two distributions are.

Suggested Citation

  • James W. Vaupel & Marie-Pier Bergeron-Boucher & Ilya Kashnitsky, 2021. "Outsurvival as a measure of the inequality of lifespans between two populations," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 44(35), pages 853-864.
    • Handle: RePEc:dem:demres:v:44:y:2021:i:35
    DOI: 10.4054/DemRes.2021.44.35
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    1. Philippe Naveau & Armelle Guillou & Théo Rietsch, 2014. "A non-parametric entropy-based approach to detect changes in climate extremes," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 76(5), pages 861-884, November.
    2. Tomasz Wrycza & Annette Baudisch, 2012. "How life expectancy varies with perturbations in age-specific mortality," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 27(13), pages 365-376.
    3. An, Zong-Wen & Huang, Hong-Zhong & Liu, Yu, 2008. "A discrete stress–strength interference model based on universal generating function," Reliability Engineering and System Safety, Elsevier, vol. 93(10), pages 1485-1490.
    4. Ryan D. Edwards & Shripad Tuljapurkar, 2005. "Inequality in Life Spans and a New Perspective on Mortality Convergence Across Industrialized Countries," Population and Development Review, The Population Council, Inc., vol. 31(4), pages 645-674, December.
    5. Brito, Ricardo & Rodríguez-Navarro, Alonso, 2019. "Evaluating research and researchers by the journal impact factor: Is it better than coin flipping?," Journal of Informetrics, Elsevier, vol. 13(1), pages 314-324.
    6. Iñaki Permanyer & Nathalie Scholl, 2019. "Global trends in lifespan inequality: 1950-2015," PLOS ONE, Public Library of Science, vol. 14(5), pages 1-19, May.
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    Cited by:

    1. Ana C. Gómez Ugarte Valerio & Ugofilippo Basellini & Carlo G. Camarda & Fanny Janssen & Emilio Zagheni, 2024. "Reassessing socioeconomic inequalities in mortality via distributional similarities," MPIDR Working Papers WP-2024-007, Max Planck Institute for Demographic Research, Rostock, Germany.

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    More about this item

    Keywords

    lifespan; inequalities; population distribution; comparing two distributions;
    All these keywords.

    JEL classification:

    • J1 - Labor and Demographic Economics - - Demographic Economics
    • Z0 - Other Special Topics - - General

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