Background: Some formal demographic models describe mortality improvement in terms of averted deaths. In such models individuals who would have died in an earlier regime are instead revived and returned to the population to face the same age-specific mortality risks as the rest of the population. A closely related literature has examined inequality in terms of the number of years of potential life that are lost to deaths. Objective: The paper combines several results from formal demography to illustrate the potential gains in life lived from a sequence of revivals, in which everyone is revived 0, 1, 2,. . . times. Contribution: Mathematical analysis yields two new results: A generalization of Vaupel and Canudas-Romo’s e† index to second and higher-order revivals, and an analytical expression that relates gains from revivals to the covariance of remaining life expectancy and cumulative mortality.

中文翻译：

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复兴和生命因死亡而丧生

背景：一些正式的人口统计学模型从避免死亡的角度描述了死亡率的提高。在这种模型中，原本会在较早时期死亡的人可以复活并重返人群，以面对与其他人群相同的特定年龄死亡率风险。密切相关的文献根据死亡所致的潜在生命年限研究了不平等现象。目的：本文结合了正式人口统计学的一些结果，来说明一系列复兴可能带来的生命增长，其中每个人都以0、1、2复活。。。次。贡献：数学分析得出两个新结果：将Vaupel和Canudas-Romo的e†指数推广到二阶和更高阶的复兴，