Abstract
In this paper, we are interested in the estimation of the reliability coefficient
R
=
P
(
X
>
Y
)
, when the data on the minimum of two exponential samples, with random sample size, are available. The confidence intervals of
R
, based on maximum likelihood and bootstrap methods, are developed. The performance of these confidence intervals is studied through extensive simulation. A numerical example, based on a real data, is presented to illustrate the implementation of the proposed procedure.