TY - JOUR
T1 - Representation of Downton's bivariate exponential random vector and its applications
AU - Kim, Bara
AU - Kim, Jeongsim
N1 - 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) .
PY - 2011/12
Y1 - 2011/12
N2 - 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.
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
KW - Downton's bivariate exponential distribution
KW - Laplace-Stieltjes transform
UR - http://www.scopus.com/inward/record.url?scp=80051889289&partnerID=8YFLogxK
U2 - 10.1016/j.spl.2011.07.013
DO - 10.1016/j.spl.2011.07.013
M3 - Article
AN - SCOPUS:80051889289
VL - 81
SP - 1743
EP - 1750
JO - Statistics and Probability Letters
JF - Statistics and Probability Letters
SN - 0167-7152
IS - 12
ER -