Volume 30 - Article 50 | Pages 1405–1412
Variance in age at death equals average squared remaining life expectancy at death
| Date received: | 12 Nov 2013 |
| Date published: | 07 May 2014 |
| Word count: | 770 |
| Keywords: | life disparity, life table entropy, remaining life expectancy, variance in age at death |
| DOI: | 10.4054/DemRes.2014.30.50 |
| Weblink: | All publications in the ongoing Special Collection 8 "Formal Relationships" can be found at http://www.demographic-research.org/special/8/ |
Abstract
Background: Variance in lifespan $\sigma^2$ and life expectancy lost due to death $e^{\dagger}$ are important demographic indicators of life disparity.
Objective: I show that variance in age at death equals average squared remaining life expectancy at death. Based on this I also show that the average squared difference in remaining life expectancy at death equals the difference between $\sigma^2$ and ${e^{\dagger}}^2$.
Comments: Calculations of the quantities involved for the Gompertz-Makeham mortality model with varying parameters reveals complex patterns.
Author's Affiliation
Tomasz Wrycza - Max-Planck-Institut für Demografische Forschung, Germany
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