Time Spent and Left of Transient States in Stationary Populations

Francisco Villavicencio, Department of Public Health, University of Southern Denmark
Tim Riffe, Max Planck Institute for Demographic Research
Nicolas Brouard, INED

Background: The Brouard-Carey equality establishes equality between the distributions of years-lived and years-left in stationary populations.
Objective: We aim to generalize this equality to account for time spent and time left in states within multistate stationary populations.
Results: We provide two intuitive proofs that the distribution of time spent and left in transient states is equal in multistate stationary populations.
Conclusions: This equality may be helpful under certain constraints to estimate the distribution of otherwise unobserved onset timing for health or other states.

Presented in Session 1066: Data and Methods