A Re-Examination of the Joint Mortality Functions

Heekyung Youn, Arkady Shemyakin and Edwin Herman

North American Actuarial Journal, 2002, vol. 6, issue 1, 166-170

Abstract: Mortality analysis involving multiple lives is easily one of the more complicated aspects in the theory of life contingencies. In this paper, we re-investigate joint mortality functions and in particular, we examine an assertion that relates the joint-life and last-survivor random variables. This common assertion states that the sum of the lifetimes of the joint-life and the last-survivor statuses is equal to the sum of the lifetimes of the single statuses. However, we show that this assertion is not precisely correct. We therefore offer a modification to the statuses definitions so that this common assertion holds.

Date: 2002
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DOI: 10.1080/10920277.2002.10596035

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