Study on the influence of prior reliability for bayesian estimation

Bayesian method has been widely used for parameters evaluation and decision making. However, existing studies paid more attention on the construction of prior distribution and method engineering applications. The previous researches had fewer discourses on the reliability influence analysis of prior information or prior distribution. In this paper, based on the coherence analysis between prior information and field test results, the definition of prior reliability was presented, and the calculation process based on hypothesis testing theory was given. For normal distribution, to a numerical example, the influence analysis result was exhibited. Furthermore, the interval estimation method considering the influence of prior reliability was given.