The Reliability Estimation for a Shared Load Linear Consecutive-r-out-of-k: F System with Exponential Lifetime Under Type-1 Censorship

The shared load linear consecutive- r-out-of- k: F system has been recognized as a useful model for reliability studies and life testing experiments. This paper deals with estimating reliability of shared load consecutive- r-out-of- k: F system with exponential lifetime. First, the maximum likelihood estimation(MLE) is used to estimate the reliability of the model when data are type-1 censored. Second, the Bayesian estimation is used to estimate the reliability under uniform, gamma, inverted gamma and truncated gamma prior. Third, the generalized maximum likelihood estimation(GMLE) is used to estimate the reliability. The Bayesian and GMLE for MLE will be compared with numerically in the terms of various mission times, parameter values in the sense of asymptotic mean square error through Monte Carlo simulation.