Reliability Demonstration Testing Procedure for Weibull Distribution about Zero Failure-Data

In this thesis, When the parameters are unknown. in the posterior risk criteria, two Bayesian methods are applied to the reliability demonstration testing procedure for Weibull distribution about zero failure-data. First the noninformative prior distribution of the parameters is derived. Then the prior probability density function of reliability function is given combining with prior information according to Bayesian theorem, assuming the certain reliability index being a fixed figure, the the reliability demonstration testing procedure about the zero failure-data of Weibull distribution is given. The second using a series of function substitution, and the Jeffreys principle, the posterior edge density function of reliability function is given, the reliability demonstration testing procedure for Weibull distribution about zero failure-data is given. The reliability demonstration testing procedure is analyzed taking into consideration the consumer´s and producer´s profit. Concrete steps of the reliability demonstration testing procedure Compare the two methods, The first method can not full consideration the of producers, the second method is more useful.