On gamma-Gompertz life expectancy

Fredy Castellares; Silvio C. Patrício; Artur Lemonte

doi:10.1016/j.spl.2020.108832

On gamma-Gompertz life expectancy

Fredy Castellares, Silvio C. Patrício, Artur Lemonte

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

Abstract

A closed-form expression for the remaining life expectancy based on the gamma-Gompertz model has been derived recently in the literature. However, the closed-form expression available to users is not correct. We provide, therefore, a valid and correct expression for the life expectancy at age x by using elementary calculus. We also consider a comparative numerical study by using real data to confirm that the formula we provide works properly.

Originalsprog	Engelsk
Artikelnummer	108832
Tidsskrift	Statistics & Probability Letters
Vol/bind	165
ISSN	0167-7152
DOI	https://doi.org/10.1016/j.spl.2020.108832
Status	Udgivet - okt. 2020
Udgivet eksternt	Ja

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10.1016/j.spl.2020.108832

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Citationsformater

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title = "On gamma-Gompertz life expectancy",

abstract = "A closed-form expression for the remaining life expectancy based on the gamma-Gompertz model has been derived recently in the literature. However, the closed-form expression available to users is not correct. We provide, therefore, a valid and correct expression for the life expectancy at age x by using elementary calculus. We also consider a comparative numerical study by using real data to confirm that the formula we provide works properly.",

keywords = "Hypergeometric function, Life expectancy, Mean residual life, Mortality",

author = "Fredy Castellares and Patr{\'i}cio, \{Silvio C.\} and Artur Lemonte",

year = "2020",

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doi = "10.1016/j.spl.2020.108832",

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T1 - On gamma-Gompertz life expectancy

AU - Castellares, Fredy

AU - Patrício, Silvio C.

AU - Lemonte, Artur

PY - 2020/10

Y1 - 2020/10

N2 - A closed-form expression for the remaining life expectancy based on the gamma-Gompertz model has been derived recently in the literature. However, the closed-form expression available to users is not correct. We provide, therefore, a valid and correct expression for the life expectancy at age x by using elementary calculus. We also consider a comparative numerical study by using real data to confirm that the formula we provide works properly.

AB - A closed-form expression for the remaining life expectancy based on the gamma-Gompertz model has been derived recently in the literature. However, the closed-form expression available to users is not correct. We provide, therefore, a valid and correct expression for the life expectancy at age x by using elementary calculus. We also consider a comparative numerical study by using real data to confirm that the formula we provide works properly.

KW - Hypergeometric function

KW - Life expectancy

KW - Mean residual life

KW - Mortality

U2 - 10.1016/j.spl.2020.108832

DO - 10.1016/j.spl.2020.108832

M3 - Journal article

SN - 0167-7152

VL - 165

JO - Statistics & Probability Letters

JF - Statistics & Probability Letters

M1 - 108832

ER -

On gamma-Gompertz life expectancy

Abstract

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