In this paper, we estimate the reliability of a system with k components. The system functions when at least s (1≤
s≤k) components survive a common random stress. We assume that the strengths of these k components are subjected to a common
stress which is independent of the strengths of these k components. If (
X
1,
X
2,…,
X
k
) are strengths of k components subjected to a common stress (Y), then the reliability of the system or system reliability
is given by
R=P[Y<X
(k−s+1)] where
X
(k−s+1) is (k−s+1)-th order statistic of (
X
1,…,
X
k
). We estimate R when (
X
1,…,
X
k
) follow an absolutely continuous multivariate exponential (ACMVE) distribution of Hanagal (1993) which is the submodel of
Block (1975) and Y follows an independent exponential distribution. We also obtain the asymptotic normal (AN) distribution
of the proposed estimator.
Key words and Phrases Absolutely continuous multivariate exponential model - Maximum likelihood estimate - S-out-of-K system - Stress-Strength model - System reliability