Abstract:There are small sample and zero failure characteristics in space bearing reliability modeling and analysis. Although performance reliability method may be available, insufficient performance data are still impediments. In the paper, a hierarchy Bayes modeling and analysis method is presented to solve the difficulties under small sample circumstance. Based on failure mechanism analysis, a performance degradation model is built at first. Then multiple methods and information including bootstrap method, experiment data, physics model and expert experience are utilized to determine the Bayes prior distribution. The Bayes calculation problem is settled using MCMC method. Example analysis shows that the method provided in the paper is well applicable, and is an effective method solving reliability modeling and analysis problem of long life products under small sample condition.