Estimations of the parameters in a three non-independent component series system subjected to sources of shocks

Abstract

Bayes estimators for the parameters included in a three non-independent and non-identical component series system subjected to four sources of fatal shocks are presented in this paper. Also the Bayes estimators for the values of reliability functions of the system components are deduced. Uniform prior distributions are assumed for the unknown parameters to be estimated. Numerical simulation study is made to explain how one can utilize the theoretical results obtained.