On ratios of random variables and generalised mortality rates
- 1 June 1992
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 29 (2) , 268-279
- https://doi.org/10.2307/3214565
Abstract
We find the distribution function of a ratio of dependent random variables which can represent a generalised mortality rate in a demographic or life insurance context. Each death in the numerator and each unit of exposure in the denominator are weighted by a random sum at risk, which is assumed to follow a gamma distribution. General results on the existence of moments of ratios of random variables are established, and applied to show that the moments of the rates considered here depend in a simple way on the minimum number of entrants into the mortality investigation.Keywords
This publication has 1 reference indexed in Scilit:
- Ratios of Normal Variables and Ratios of Sums of Uniform VariablesJournal of the American Statistical Association, 1965