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

Bara Kim and Jeongsim Kim

Statistics & Probability Letters, 2011, vol. 81, issue 12, 1743-1750

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.

Keywords: Downton’s bivariate exponential distribution; Conditional distribution; Laplace–Stieltjes transform (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (2)

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DOI: 10.1016/j.spl.2011.07.013

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