A bivariate Gompertz–Makeham life distribution

In the context of actuarial science, Gompertz (1825) utilized a differential equation to derive the life distribution that carries his name. Subsequently, De Morgan (1860), Woolhouse (1863), and Kaminsky (1983) derived the Gompertz distribution from functional equations. This paper focuses on bivari...

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Bibliographic Details
Published inJournal of multivariate analysis Vol. 139; pp. 219 - 226
Main Authors Marshall, Albert W., Olkin, Ingram
Format Journal Article
LanguageEnglish
Published New York Elsevier Inc 01.07.2015
Taylor & Francis LLC
Subjects
Actuarial science
Actuarial tables
Bivariate exponential distribution
Characterization of distributions
Differential equations
Hazard function
Mathematical functions
Probability distribution
Studies
Survival function
Actuarial tables
Hazard function
Survival function
62E10
Characterization of distributions
62H10
39A60
Bivariate exponential distribution
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Summary:In the context of actuarial science, Gompertz (1825) utilized a differential equation to derive the life distribution that carries his name. Subsequently, De Morgan (1860), Woolhouse (1863), and Kaminsky (1983) derived the Gompertz distribution from functional equations. This paper focuses on bivariate versions of Kaminsky’s functional equation. A limiting version yields the bivariate exponential distribution of Marshall and Olkin (1967).
ISSN:0047-259X
1095-7243
DOI:10.1016/j.jmva.2015.02.011