| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1145504 | Journal of Multivariate Analysis | 2015 | 8 Pages |
Abstract
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).
Related Topics
Physical Sciences and Engineering
Mathematics
Numerical Analysis
Authors
Albert W. Marshall, Ingram Olkin,