Abstract: Abstract: Bayes estimation of reliability of two-component cold standby system is given. On this basis, we discuss the Bayes hypothesis and Jeffreys priori for the non-informative priori distribution of hyper-parameters, then the multi-layer Bayes estimation of the system reliability is given. The accuracy of multi-layer Bayes estimation under the two kinds of hyper-parametric prior distributions is compared by the example. We also compare the accuracy of Bayes estimation and multi -layer Bayes estimation. Finally, the rationality of multi -layer Bayes estimation is explained.

Key words: Key words: two-component, cold standby system, Bayes estimation, multi-layer Bayes estimation, Non-informative prior