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

Research output: Contribution to journal › Article › peer-review

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

Bibliographical note

Funding Information:
The authors are grateful for the Editor’s and referee’s comments and suggestions which improved this article. B. Kim’s research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2010-0013561) . J. Kim’s research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2011-0011887) .

Keywords

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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10.1016/j.spl.2011.07.013

Cite this

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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 = "Conditional distribution, Downton's bivariate exponential distribution, Laplace-Stieltjes transform",

author = "Bara Kim and Jeongsim Kim",

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AU - Kim, Jeongsim

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AB - 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.

KW - Conditional distribution

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KW - Laplace-Stieltjes transform

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ER -

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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