Bayesian estimation of the parameters in n non-independent and non-identical series system

摘要

In this paper, we have presented a Bayesian approach for estimating the unknown parameters in a n non-independent and non-identical series system subjected to n + 1 sources of fatal shocks. Also the estimators of the values of the survival functions are deduced. The corresponding estimators of the similar system subjected to exponential fatal shocks are given. And during this process the Gamma prior density function is used. Special cases of the present results are obtained to show how the current results generalized the results in other literatures.