Volume 30 - Article 50 | Pages 1405–1412  

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

By Tomasz Wrycza

This article is part of the ongoing Special Collection 8 "Formal Relationships"

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 EMAIL

Other articles by the same author/authors in Demographic Research

The pace of aging: Intrinsic time scales in demography
Volume 30 - Article 57

Entropy of the Gompertz-Makeham mortality model
Volume 30 - Article 49

How life expectancy varies with perturbations in age-specific mortality
Volume 27 - Article 13

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