Gompertz-Makeham预期寿命的闭式表达：一个历史注释

Q2 Social Sciences

Revista Brasileira de Estudos de Populacao Pub Date : 2022-11-21 DOI:10.20947/s0102-3098a0220

Filipe Costa de Souza

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引用次数: 0

摘要

在精算界，关于一个x岁的人的Gompertz和Gompertz- makeham预期寿命的封闭表达式的结果是众所周知的，直到今天仍在被独立地重新发现。本文试图承认先前关于Gompertz-Makeham预期寿命的封闭形式表达式的结果，特别是在精算科学领域，希望刺激跨学科并为进一步发展提供背景，特别是因为基于特定死亡率规律的预期寿命(和年金)的封闭形式表达式的推导是精算科学，生物学，人口学，统计学等多个领域感兴趣的问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Closed-form expressions to Gompertz-Makeham life expectancies: a historical note

Results well known in the actuarial community about closed-form expressions to Gompertz and Gompertz-Makeham life expectancies for a person aged x are still being independently rediscovered to this day. This note seeks to acknowledge previous results about closed-form expressions to Gompertz-Makeham life expectancies, especially in the actuarial science field, hoping to stimulate interdisciplinarity and provide the background for further developments, especially since the derivation of closed-form expressions for life expectancy (and annuities) based on particular mortality laws are matters of interest for multiple fields such as actuarial science, biology, demography, statistics among others.

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来源期刊

Revista Brasileira de Estudos de Populacao Social Sciences-Demography

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

13 weeks

期刊介绍： A Revista Brasileira de Estudos de População (Rebep) é o único periódico de âmbito nacional voltado exclusivamente para assuntos populacionais. Seu objetivo precípuo, desde sua criação, é estimular e difundir a produção brasileira no campo da demografia e dos Estudos de População e garantir o diálogo entre este campo e áreas afins.