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

Bara Kim; Jeongsim Kim

doi:10.1016/j.spl.2011.07.013

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

Bara Kim, Jeongsim Kim

Department of Mathematics

Research output: Contribution to journal › Article

3 Citations (Scopus)

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	https://doi.org/10.1016/j.spl.2011.07.013
Publication status	Published - 2011 Dec 1

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Keywords

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

ASJC Scopus subject areas

Statistics, Probability and Uncertainty
Statistics and Probability

Cite this

Kim, B., & Kim, J. (2011). Representation of Downton's bivariate exponential random vector and its applications. Statistics and Probability Letters, 81(12), 1743-1750. https://doi.org/10.1016/j.spl.2011.07.013

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Access to Document

10.1016/j.spl.2011.07.013