Knowledge Elicitation of Gompertz' Law of Mortality
- 1 January 2000
- journal article
- research article
- Published by Taylor & Francis in Scandinavian Actuarial Journal
- Vol. 2000 (2) , 168-179
- https://doi.org/10.1080/034612300750066845
Abstract
A new formulation of Gompertz' law of mortality is proposed. Explicit formulas for moment generating function and moments of this formulation are derived. The new formulation is applied to the theory of heterogeneous populations and formulas for stop-loss transformations are derived.Keywords
This publication has 4 references indexed in Scilit:
- Ever since gompertzDemography, 1997
- Statistical Analysis of Extreme ValuesPublished by Springer Nature ,1997
- Generalized Hypergeometric Functions with Applications in Statistics and Physical SciencesLecture Notes in Mathematics, 1973
- XXIV. On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies. In a letter to Francis Baily, Esq. F. R. S. &cPhilosophical Transactions of the Royal Society of London, 1825