Application research of Bayers` Theorem in accuracy testing assessment of precision guided munition

To precision guided munition (PGM), the sample size of batch of products for inspection is small, but the large number prior information is proposed for accuracy testing of PGM. According to these physical circumstances, the writer does some application research of Bayers` Theorem in accuracy testing assessment of PGM under the condition of small sample size. Firstly, we can gain the the credibility of each prior information source by consistent test, and then count the parameters of distribution on the assumption that the landing error deviation of PGM is in normal de-ganma distribution. Secondly we chose the iheweighted method based on credibility to syncretize the prior information of multiple sources. At last the accuracy of PGM can be calculated by Bayers algorithm. This article demonstrates that the new algorithm on Bayers` Theorem is more better than conventional method and it is more reasonably applied in accuracy testing assessment of PGM.