Multivariate exponential distributions based on hierarchical successive damage
- 1 March 1975
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 12 (1) , 142-147
- https://doi.org/10.2307/3212416
Abstract
A class of multivariate exponential distributions is suggested which includes those presented by Marshall and Olkin, Downton, and Hawkes. It is based on a concept of hierarchical successive damage. Recursive expressions for the Laplace transforms and for first and second moments are derived in the bivariate case. Related multivariate geometric distributions are described.Keywords
This publication has 3 references indexed in Scilit:
- A Bivariate Exponential Distribution with Applications to ReliabilityJournal of the Royal Statistical Society Series B: Statistical Methodology, 1972
- Bivariate Exponential Distributions in Reliability TheoryJournal of the Royal Statistical Society Series B: Statistical Methodology, 1970
- A Multivariate Exponential DistributionJournal of the American Statistical Association, 1967