Comparative Studies of the Reliability Estimation for a Shared Load System with Lognormal Distribution

The shared load system has been recognized as a useful model for reliability studies and life testing experiments. This paper deals with estimating reliability of shared load system with two lognormal lifetime distributions. The lognormal distribution has been recognized as a useful model for life testing experiments. First, the maximum likelihood estimation(MLE) is used to estimate the reliability of the model when data are Type-I censored. Second, the Bayesian estimation is used to estimate the reliability under uniform and normal prior. Third, the plug-in estimation is used to estimate the reliability. The Bayesian and plug-in estimation 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.