Research on bayesian reliability growth evaluation method for mechanical products

The probability of failure of mechanical products often conforms to the Weibull distribution. If the Weibull distribution is used to construct the likelihood function, the Bayesian method is used to estimate the reliability, which involves a large number of integral operations and is not easy to select the appropriate prior distribution. In order to reduce the computational workload and improve the efficiency of the evaluation, based on the mature exponential distribution Bayesian method, this paper transformed the Weibull distribution into exponential distribution and chose the obverse-Gamma distribution as the prior distribution. Through a series of derivation and calculation, we obtain the Weibull distribution Life parameter estimation, and finally gives the corresponding examples to verify the feasibility of the method.