Bayes estimation of parameters in a three non-independent component series system with time dependent failure rate

摘要

In this paper, we have presented a Bayesian approach for estimating the parameters included in three non-independent and non-identical components of series system subjected to four sources of fatal shocks. The failure rate of the components of the system is linearly dependent on time. Bayes estimators for the values of reliability components of the system is obtained. Gamma prior distributions are assumed for the unknown parameters to be estimated. Special cases of the obtained results are presented to show how the present results generalize the results in other literatures.