The Bayesian analysis of reliability of zero-failure data

In the reliability test of the products of electrical apparatus, zero-failure data is usually faced. For the existing reliability theory based on the analysis of failure data, how to make an analysis of the reliability of the products of electrical apparatus under the condition of zero-failure is an issue with a certain degree of difficulty. In this paper, when failure probability p_i´s prior density kernel of Zero-failure data (t_i ,n_i) is exp[a(1-p_i)] in time t_i, the reliability estimation of the products of electrical apparatus is obtained by Bayesian theorem. An actual test data is computed by using the proposed method. It turns out that the proposed method accords with the engineering priors.