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

Autor: Filipe Costa de Souza
Jazyk: English<br />Spanish; Castilian<br />Portuguese
Rok vydání: 2022
Předmět:
Zdroj: Revista Brasileira de Estudos de População, Vol 39 (2022)
Druh dokumentu: article
ISSN: 1980-5519
0102-3098
DOI: 10.20947/s0102-3098a0220
Popis: Abstract 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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