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

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.

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Year of publication:	2011
Authors:	Kim, Bara ; Kim, Jeongsim
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 81.2011, 12, p. 1743-1750
Publisher:	Elsevier
Subject:	Downton’s bivariate exponential distribution \| Conditional distribution \| Laplace–Stieltjes transform

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010576138