BAYESIAN DEMONSTRATION TEST METHOD WITH MIXED BETA DISTRIBUTION

作     者：MING Zhimao TAO Junyong CHEN Xun ZHANG Yun＇an 

作者机构：College of Mechatronics Engineering and AutomationN~onal University of Defense Technology Changsha 410073 China Reliability Testing LaboratoryNational University of Defense Technology Changsha 410073 China Department of Mechanical Engineering University of Maryland MD 20742 USA Colloge of Mechatronics Engineering and AutomationNational University of Defense Technology Changsha 410073 China 

出 版 物：《Chinese Journal of Mechanical Engineering》 (中国机械工程学报（英文版）)

年 卷 期：2008年第21卷第3期

页      面：116-119页

核心收录：

学科分类：08[工学] 080203[工学-机械设计及理论] 0802[工学-机械工程] 

基　　金：National Advanced Research Project of China(No.51319030302) National Advanced Research Foundation of China(No.9140A 19030506KG0166) 

主　　题：Reliability qualification test Inheritance factor Bayesian analysis Binomial distribution Maximum posterior risk 

摘      要：A complex mechatronics system Bayesian plan of demonstration test is studied based on the mixed beta distribution. During product design and improvement various information is appropriately considered by introducing inheritance factor, moreover, the inheritance factor is thought as a random variable, and the Bayesian decision of the qualification test plan is obtained, and the correctness of a Bayesian model presented is verified. The results show that the quantity of the test is too conservative according to classical methods under small binomial samples. Although traditional Bayesian analysis can consider test information of related or similar products, it ignores differences between such products. The method has solved the above problem, furthermore, considering the requirement in many practical projects, the differences among this method, the classical method and Bayesian with beta distribution are compared according to the plan of reliability acceptance test.