For sufficiently using the prior information of the range of reenter vehicle for the purpose to detect the maximum range，we apply the statistical decision method. In this paper，we discuse two problems: 1.Bayesian statistical decision method for detecting maximum range. We introduce the lossfunction and prior information，and combine the Bayes risk with the effectiveness of the attack. 2.Bayesian estimation. We give the Bayesian statistical estimation of the maximum range. It appears from theoretical and numerical analysis，that the use of prior information appropriately，we can make the statistical inference in the smaller volume of the sample.