Representation of Downton's bivariate exponential random vector and its applications

Bara Kim, Jeongsim Kim

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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 languageEnglish
Pages (from-to)1743-1750
Number of pages8
JournalStatistics and Probability Letters
Issue number12
Publication statusPublished - 2011 Dec


  • Conditional distribution
  • Downton's bivariate exponential distribution
  • Laplace-Stieltjes transform

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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