A multicomponent system of k components having strengths following k- independently and identically distributed random variables and each component experiencing a random stress Y is considered. The system is regarded as alive only if at least s out of k (s < k) strengths exceed the stress. The reliability of such a system is obtained when strength, stress variates follow exponentiated Fréchet distribution (EFD) with different power parameters. The reliability is estimated using the ML method of estimation when samples drawn from strength and stress distributions. The reliability estimators are compared asymptotically. The small sample comparison of the reliability estimates is made through Monte-Carlo simulation. Using real data sets, we illustrate the procedure.
Indian Member 40.00
Others Member 3.00