Variance in age at death equals average squared remaining life expectancy at death

Tomasz Wrycza
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Tomasz Wrycza: Max-Planck-Institut für Demografische Forschung

Demographic Research, 2014, vol. 30, issue 50, 1405-1412

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.

Keywords: life disparity; remaining life expectancy; life table entropy; variance in age at death (search for similar items in EconPapers)
JEL-codes: J1 Z0 (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:dem:demres:v:30:y:2014:i:50

DOI: 10.4054/DemRes.2014.30.50

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