Abstract
Downton's bivariate exponential distribution is one of the most important bivariate distributions in reliability theory. In this paper a simple representation for Downton's bivariate exponential random vector is given. As an application of this representation, we consider a reliability model where an item is subject to shocks and obtain an explicit expression for the long-run cost rate.
Original language | English |
---|---|
Pages (from-to) | 1743-1750 |
Number of pages | 8 |
Journal | Statistics and Probability Letters |
Volume | 81 |
Issue number | 12 |
DOIs | |
Publication status | Published - 2011 Dec |
Keywords
- Conditional distribution
- Downton's bivariate exponential distribution
- Laplace-Stieltjes transform
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty