关于Gompertz寿命差距的一个闭式表达式及其逼近

IF 2.1 3区社会学 Q2 DEMOGRAPHY

Demographic Research Pub Date : 2023-07-04 DOI:10.4054/demres.2023.49.1

Cinzia Di Palo

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引用次数: 0

摘要

在文献中，当死亡率受Gompertz定律支配时，存在x岁剩余预期寿命的封闭形式解。这个表达式包含一个特殊的函数，它允许我们构建高精度的近似值，这也有助于评估相对于模型参数的预期寿命弹性。然而，据我所知，生命差异的类似公式并不存在，因此，生命表熵也不存在。

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On a closed-form expression and its approximation to Gompertz life disparity

BACKGROUND In the literature, there exists a closed form solution to the remaining life expectancy at age x when mortality is governed by the Gompertz law. This expression contains a special function that allows us to construct high-accuracy approximations, which are also helpful in assessing the elasticity of life expectancy with respect to the model parameters. However, to my knowledge, a similar formulation for life disparity does not exist, and as a consequence, it does not exist for life table entropy either.

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来源期刊

Demographic Research DEMOGRAPHY-

CiteScore

3.90

自引率

4.80%

发文量

审稿时长

28 weeks

期刊介绍： Demographic Research is a free, online, open access, peer-reviewed journal of the population sciences published by the Max Planck Institute for Demographic Research in Rostock, Germany. The journal pioneers an expedited review system. Contributions can generally be published within one month after final acceptance.