@article{Wrycza_S8_50,
author = {Wrycza, Tomasz},
title={{Variance in age at death equals average squared remaining life expectancy at death}},
journal = {Demographic Research},
volume = {S8},
number = {50},
pages = {1405--1412},
doi = {10.4054/DemRes.2014.30.50},
year = {2014},
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. },
URL = {https://www.demographic-research.org/special/8/50/},
eprint = {https://www.demographic-research.org/special/8/50/s8-50.pdf}
}