TY  - JOUR
A1  - Wrycza, Tomasz
T1  - Variance in age at death equals average squared remaining life expectancy at death
Y1  - 2014/05/07
JF  - Demographic Research
JO  - Demographic Research
SN  - 1435-9871
SP  - 1405
EP  - 1412
DO  - 10.4054/DemRes.2014.30.50
VL  - S8
IS  - 50
UR  - https://www.demographic-research.org/special/8/50/
L1  - https://www.demographic-research.org/special/8/50/s8-50.pdf
L2  - https://www.demographic-research.org/special/8/50/s8-50.pdf
N2  - 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. 

ER  -