Variance in age at death equals average squared remaining life expectancy at death
<b>Background</b>: Variance in lifespan $\sigma^2$ and life expectancy lost due to death $e^{\dagger}$ are important demographic indicators of life disparity. <b>Objective</b>: I show that variance in age at death equals average squared remaining life expectancy at death....
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| Format: | Article |
| Language: | English |
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Max Planck Institute for Demographic Research
2014-05-01
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| Series: | Demographic Research |
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| Online Access: | http://www.demographic-research.org/volumes/vol30/50/ |
| Summary: | <b>Background</b>: Variance in lifespan $\sigma^2$ and life expectancy lost due to death $e^{\dagger}$ are important demographic indicators of life disparity. <b>Objective</b>: 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 ${e^{\dagger}}^2$. <b>Comments</b>: Calculations of the quantities involved for the Gompertz-Makeham mortality model with varying parameters reveals complex patterns. |
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| ISSN: | 1435-9871 |