On some stochastic properties of lives lived and left in non-stationary populations

Maxim Finkelstein*, James Vaupel

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Abstrakt

First, we revisit the “life lived equals life left” property for stationary populations and discuss it from a more general perspective. Specifically, we show that identically distributed random age and the remaining lifetime in stationary populations have the same distribution as the equilibrium distribution of the renewal theory. Then we consider specific non-stationary populations that are closed to migration and have a constant birth rate. We obtain some useful inequalities between random age and remaining lifetime for different instants of calendar time. We also discuss the aging properties of populations using different stochastic orders.

OriginalsprogEngelsk
TidsskriftJournal of Mathematical Biology
Vol/bind80
Udgave nummer6
Sider (fra-til)1845-1856
ISSN0303-6812
DOI
StatusUdgivet - maj 2020

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