Bayesian estimation of the parameters in two non-independent component series system with dependent time failure rate

Abstract

In this paper, we have presented a Bayesian approach for estimating the parameters included in a two non-independent and non-identical component series system with linear failure rate subjected to three sources of fatal shocks. Also the Bayes estimators for the values of reliability functions of the system components are deduced. Estimations of the system's mean time to failure and the system's failure rate are derived. Uniform prior distributions are assumed for the unknown parameters to be estimated. Special cases of the present results are obtained to show how the current results generalize the results in other literatures.