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

Federal University of Minas Gerais
Universidade Federal do Rio Grande do Norte

Research output: Contribution to journal › Journal article › Research › 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.

Original language	English
Article number	108832
Journal	Statistics & Probability Letters
Volume	165
ISSN	0167-7152
DOIs	https://doi.org/10.1016/j.spl.2020.108832
Publication status	Published - Oct 2020
Externally published	Yes

Keywords

Hypergeometric function
Life expectancy
Mean residual life
Mortality

Documents & Links

10.1016/j.spl.2020.108832

SDU Link

Check access to the material in SDU Library's search engine

Cite this

@article{e33a3134fef74a729b69ec0b8edecd15,

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",

month = oct,

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

language = "English",

volume = "165",

journal = "Statistics \& Probability Letters",

issn = "0167-7152",

publisher = "Elsevier",

}

TY - JOUR

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

Keywords

Documents & Links

SDU Link

Fingerprint

Cite this