The ages of extremal impact on life disparity caused by averting deaths
This paper is concerned with sensitivity analysis of life disparity with respect to changes in mortality rates. Recently Zhang and Vaupel introduced a ”threshold age”, such that averting deaths before that age reduces disparity, while averting deaths after that age increases disparity. We provide a reﬁnement to this result by characterizing the ages at which averting deaths has an extremal impact on life disparity. A procedure is given for approaching the threshold age numerically. The results are illustrated using data for the female populations of Denmark, the US, Japan and France in 2005. [Keywords: life disparity, sensitivity analysis, mortality changes, threshold age]
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