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Representation of Downton's bivariate exponential random vector and its applications
- Authors
- Kim, Bara; Kim, Jeongsim
- Issue Date
- 12월-2011
- Publisher
- ELSEVIER SCIENCE BV
- Keywords
- Downton' s bivariate exponential distribution; Conditional distribution; Laplace-Stieltjes transform
- Citation
- STATISTICS & PROBABILITY LETTERS, v.81, no.12, pp.1743 - 1750
- Indexed
- SCIE
SCOPUS
- Journal Title
- STATISTICS & PROBABILITY LETTERS
- Volume
- 81
- Number
- 12
- Start Page
- 1743
- End Page
- 1750
- ISSN
- 0167-7152
- 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. (C) 2011 Elsevier B.V. All rights reserved.
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